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'/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Universidad de La Laguna,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' E-38206 La Laguna,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Tenerife,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Spain 13Universit´e de Nice Sophia–antipolis,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' CNRS,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Observatoire de la Cˆote d’Azur,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Laboratoire Lagrange,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' BP 4229,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' F-06304 Nice,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' France (Received November 14,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2022;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Revised January 9, 2023;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Accepted January 9, 2023) ABSTRACT We present new empirical infrared Period-Luminosity-Metallicity (PLZ) and Period-Wesenheit- Metallicity (PWZ) relations for RR Lyræ based on the latest Gaia EDR3 parallaxes.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The relations are provided in the WISE W1 and W2 bands, as well as in the W(W1, V − W1) and W(W2, V − W2) Wesenheit magnitudes.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The relations are calibrated using a very large sample of Galactic halo field RR Lyræ stars with homogeneous spectroscopic [Fe/H] abundances (over 1,000 stars in the W1 band), covering a broad range of metallicities (−2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='5 ≲ [Fe/H] ≲ 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' We test the performance of our PLZ and PWZ relations by determining the distance moduli of both galactic and extragalactic stellar as- sociations: the Sculptor dwarf spheroidal galaxy in the Local Group (finding ¯µ0 = 19.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='47 ± 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='06), the Galactic globular clusters M4 (¯µ0 = 11.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='16 ± 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='05) and the Reticulum globular cluster in the Large Magellanic Cloud (¯µ0 = 18.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='23 ± 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='06).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The distance moduli determined through all our relations are internally self-consistent (within ≲ 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='05 mag) but are systematically smaller (by ∼ 2-3σ) than previ- ous literature measurements taken from a variety of methods/anchors.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' However, a comparison with similar recent RR Lyræ empirical relations anchored with EDR3 likewise shows to varying extents a systematically smaller distance modulus for PLZ/PWZ RR Lyræ relations.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Keywords: stars: variables: RR Lyrae — Galaxy: halo — globular clusters: general — extragalactic stellar associations: stellar systems 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' INTRODUCTION RR Lyrae stars (RRLs) have been extensively utilized as a primary standard candle within our Local Group of galaxies.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' They are easily identifiable, with a period between 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='2 and 1 day, and are found nearly everywhere due to Corresponding author: Joseph P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Mullen jpmullen@iastate.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='edu arXiv:2301.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='03777v1 [astro-ph.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='GA] 10 Jan 2023 ID2 Mullen et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' being evolved ∼0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='7 solar mass stars.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' As such, RRLs are the most widely used tracers of old (age ≳ 10 Gyr, Walker 1989;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Savino et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2020) stellar populations in the local neighborhood (see, e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='g.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Bono et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2016 and Catelan & Smith 2015 for a review).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Besides their use in probing galactic structures, an accurate calibration of RRL distances allows for a cosmological distance ladder completely based on Population II stars, independent from Classical Cepheids.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' This has assumed great relevance over the last decade due to the current tension in measured values of the Hubble constant, which is still mainly anchored on classical Cepheids (see Riess et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2022).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' RRLs were first used as standard candles due to their evolutionary position on the Horizontal Branch (HB) yielding a nearly constant V -band magnitude, with a minor metallicity dependence (Baade 1958).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' This correlation ultimately leads to a well-defined MV vs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' iron abundance relation (Sandage 1990;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Caputo 1998);' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' however, in its simplicity, this relation overlooks evolutionary effects on the HB and is prone to errors in accounting for extinction and possible non-linearities (Bono et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2003).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' While brightness in the V-band does not show any significant dependence on the period, Period-Luminosity-Metallicity relations (PLZ) do exist in the infrared (see e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='g.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Marconi et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (2015);' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Neeley et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (2017) for theoretical relations, and Madore et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (2013);' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Dambis et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (2013);' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Muraveva et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (2018a);' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Neeley et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (2019);' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Gilligan et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (2021) for observational ones).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' These PLZ relations have an accuracy approaching other traditional stellar standard candles that can be characterized by a Leavitt Law (Leavitt 1908;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Leavitt & Pickering 1912), such as Cepheids.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The accuracy improves for the RRL PLZ relationships when moving to the infrared as both the importance of accounting for reddening decreases and the dispersion of the PLZ itself decreases, due in part to the dependence on metallicity increasing and the pulsational amplitude decreasing with longer wavelengths.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Moving to the infrared minimizes temperature effects, as infrared RRL observations are mostly determined by the radius variation during the star’s pulsation rather than the effective temperature changes that dominate in the optical wavelengths (Bono et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2016).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' We can similarly combine optical bands to create a Wesenheit magnitude that by construction is reddening independent, as well as less susceptible to temperature effects.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' These magnitudes can be effectively used in Period-Wesenheit-Metallicity relations (PWZ), in lieu of an infrared PLZ (Marconi et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2015).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Until recently, PLZ and PWZ relations were limited in their applications due to the scarcity of accurate high- resolution (HR, R ≳ 20,000) spectroscopic metallicity measurements, capable of providing accuracy of ∼ 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1 dex in [Fe/H] for individual RRL.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Indeed, these relations have been predominantly based on RRL residing in globular clusters (GCs) with well-studied cluster metallicity.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The age of large area photometric time surveys (e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='g.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', ASAS-SN (Shappee et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2014;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Jayasinghe et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2018), Catalina Sky Survey (Drake et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2009), PanSTARRS (Chambers et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2016), DES (Abbott et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2018), Gaia (Clementini et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2016, 2019), TESS (Ricker et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2015), ZTF (Bellm et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2019), OGLE (Szymanski 2005)), have, however, heralded a new age where large samples of RRL variables, especially in the field of the Galactic Halo and Bulge, are finally available.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Using effectively these new RRL catalogs, however, still requires knowing their metallicities, which can be prohibitive if it requires taking spectra of such a large number of targets.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' This issue can be avoided if the metallic abundance for these stars could be estimated by studying the properties of their light curves, without the need of collecting their spectra.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' With this motivation in mind, in Mullen et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2021 (hereafter Paper I) and Mullen et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2022 (hereafter Paper II) we have provided new relations to derive photometric metallicities of fundamental and overtone RRL stars respectively, based on their optical V -band and infrared (WISE W1 and W2 bands, Wright et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2010) light curves.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The distinction of our relations from other available photometric metallicities is that they are based on the largest available sample of homogeneous spectroscopic metallicities available to date (over 9,000 RRLs), which we published in Crestani et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (2021) (C21 hereafter) and in Fabrizio et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (2021).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' In this paper we expand on our previous work by providing PLZ and PWZ relations based on the same sample of calibrating RRLs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Metallicities for this sample are still derived from C21.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Distances are instead obtained from the most recent Gaia EDR3 parallax values (Gaia Collaboration et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2022).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' At the time of this publication, there have already been some Gaia EDR3 distance calibrations using either smaller calibration samples or different bands/relations than those presented in this work (e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='g.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Gilligan et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2021;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Garofalo et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2022;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Li et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2022).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Overall, the relations presented in this work are based on the largest available calibrating sample with individual spectroscopic metallicities obtained on a homogeneous scale, and as such they allow for studying the dependence of PLZ and PWZs over the entire [Fe/H] abundance range in the Galaxy.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' This paper is structured as follows.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' In Section 2, we describe the data sets we adopt for our work: the metallicity catalog utilizing the work of C21, derivation of mean magnitudes from optical and infrared time-series, and the Gaia parallax measurements.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' In Section 3, we explain how our PLZ/PWZ relations are obtained and calibrated.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Section 4 assesses the precision of the Wesenheit and infrared relations as we apply our method to derive the distance modulus to M4 (a Galactic globular cluster), Reticulum (a globular cluster in the Large Magellanic Cloud), and Sculptor (a Gaia DR3 PLZ 3 Local Group dwarf spheroidal galaxy) and compare our distance moduli with previous literature measurements.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Our conclusions are presented in Section 5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' DATASETS Our calibration sample of RRLs is chosen from an extensive catalog of 8660 field RRLs, from which we have either [Fe/H] abundances derived from HR spectra (R ≳ 20,000) or an estimate of their metallicity based on the ∆S method (Preston 1959).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' This HR+∆S metallicity catalog is comprised of both the high-resolution metallicity catalog of C21 and the application of the spectrum selection criteria and ∆S metallicity calibration of C21 (applied in Fabrizio et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2021) to the full medium-resolution (R ∼ 2,000) Large Scale Area Multi-Object Spectroscopic Telescope (LAMOST) DR2 survey (Deng et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2012;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Liu et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2014) and Sloan Extension for Galactic Understanding and Exploration (SEGUE, Yanny et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2009) datasets.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' By utilizing metallicity measurements from the single work of C21, we ensure our entire sample is on a homogeneous metallicity scale (consistent with the globular cluster metallicity scale provided by Carretta et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2009).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' For a complete and detailed description of the metallicity scale, the HR metallicity catalog’s demographics, the ∆S calibration, and the spectrum selection criteria, we refer the reader to the C21 paper.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The resultant HR+∆S metallicity catalog was cross-matched with the Gaia EDR3 database (Gaia Collaboration et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2021;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Fabricius et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2021;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Lindegren et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2021a) to provide astrometric data.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Finally, photometry is obtained by cross-matching the variables in our metallicity catalog with both the Wide-field Infrared Survey Explorer (WISE, Wright et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2010), and its Near-Earth Objects reactivation mission (NEOWISE, Mainzer et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2011) in the 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='4 and 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='6 µm bands, W1, and W2 respectively.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Similarly, visible time-series photometric measurements in the V band were taken from the All-Sky Automated Survey for Supernovae (ASAS-SN, Shappee et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2014;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Jayasinghe et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2018).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' For a more detailed description of the NEOWISE, ASAS-SN survey and how we have integrated such measurements to our calibration sample, we refer the reader to Paper I and Paper II.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' To compute new PLZ relationships, periods and mean magnitudes of this sample were derived by following the procedure from Paper I, summarized below.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The period of each RRL star was refined using the Lomb-Scargle method (Lomb 1976;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Scargle 1982) applied to the ASAS-SN and WISE time series data.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The surveys’ large temporal baseline (≳ 8 years) allows us to determine well-defined periods with average accuracy on the order of ∼ 10−6 days, which properly phase the data without any readily detectable shifting in phase.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Mean magnitudes for each band were determined by applying a Gaussian locally-weighted regression smoothing (GLOESS) algorithm to the phased data to gain a smoothed light curve.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Each RRL star’s mean magnitude is determined by integrating the smoothed light curve flux over one period, then subsequently converting back into magnitude.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' For more specifics on the GLOESS algorithm and the calculation of mean magnitude from a GLOESS light curve with its uncertainty, we refer you to Persson et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (2004) or Neeley et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (2015), respectively.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' To ensure a clean sample of RRLs, a number of quality cuts were made on the input catalog.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' We first implement the various quality checks on light curve quality and data extraction as elaborated upon in Paper I.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Quality checks include: comparing refined period to that of literature, defining the maximum allowable scatter around the GLOESS light curve, and implementing iterative rounds of outlier rejection for individual epochs relative to the GLOESS phased lightcurve.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Furthermore, in order to eliminate possible contact eclipsing binary (W UMa) from our dataset, whose sinusoidal light curves can often be confused with the light curves of first overtone RRL, we required all the RRL in our sample to have photometric measurements in both V and W1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Following the procedure of Mullen et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (2022) (Section 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='2), the amplitude ratio between the V and W1 magnitudes serves as a primary discriminator between RRL stars and eclipsing binaries.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Note that this criterion does not cause any issues with sample size as the ASAS-SN survey has nearly complete coverage (∼ 98%) of the WISE stars used in this work.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Subsequent quality cuts based upon astrometric criterion or due to the fitting method utilized are noted in the following section.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The exact number of stars used in each calibration, after outlier rejection, is given in Table 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' CALIBRATION OF PLZ AND PWZ RELATIONS Gaia EDR3 parallaxes were processed according to the recommendations in Gaia Collaboration et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (2022).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' In particular, the parallaxes were corrected for the Gaia zero-point systematic error using the calibration of Lindegren et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (2021b).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Guided by §7.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='2 of the EDR3 documentation and Figure 19 in Fabricius et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (2021), the uncertainty in the EDR3 parallaxes have been increased from their catalog values by ∼ 10% to 60% depending on the magnitude of the star and its solution type in EDR3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Reddenings were determined from the Lallement et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (2019) 3-D maps.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' If the parallax uncertainty was less than 10% of the parallax, the distance to each star was estimated from its parallax, otherwise, the distance, as a first 4 Mullen et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' order approximation, was calculated from the PLZ relation of Gilligan et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (2021) in the W1 band (assuming no reddening).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' After the initial reddening determination, the distance was recalculated and the reddening determined again.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' A comparison of the two reddening determinations indicated that two iterations was sufficient to lead to convergence in the reddening determination.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Conversion from E(B-V) to extinction assumed RV = 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1 from Cardelli et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (1989), and AW 1/AV = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='061, AW 2/AV = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='048 from the Yuan et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (2013) extinctions.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' In the W1 sample, 93% of the stars have relatively low reddenings, with E(B − V ) < 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='2, which corresponds to AW 1 < 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='038 mag.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' In the W2 sample, 89% of the stars have E(B − V ) < 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The maximum reddening in the sample is E(B − V ) = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='67, corresponding to AW 1 = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='13 mag.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Thus, uncertainties in the reddening values, considered to be ∼10%, will not significantly impact the PLZ fit.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' In order to obtain a clean sample of RRLs, a number of additional quality cuts were made on the input catalog.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Stars which may have spurious astrometric solutions can be identified by a large value of the renormalised uniform weight error (RUWE, Lindegren et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2021a), and so only stars with RUWE < 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='4 were used in the fitting process (∼ 10% of RRL were removed due to this).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' A plot of the astrometric excess noise as a function of RUWE revealed that there were some stars which had large excess astrometric noise which had RUWE < 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' As a result, an additional cut of astrometric excess noise < 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='2 (∼ 2% of the data) was applied to the catalog prior to fitting the PLZ relation.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The overall properties of the data sample used to determine the PLZ relation are shown in Figure 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' There are over 1000 stars in the W1 sample (9% with HR spectroscopic [Fe/H]) and about 400 stars in the W2 sample (22% with HR [Fe/H]);' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Table 1 contains the exact sample size used for each relation.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The existence of a period-luminosity (PL) relationship is clearly visible in the left panel of Figure 1, as RRLs with shorter periods are intrinsically less luminous than longer-period stars.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Thus, at a given apparent magnitude, the stars with a shorter period have to be closer and hence have a larger parallax than stars with longer periods.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The sample covers a broad [Fe/H] range, from −2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='5 to 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 dex.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Although their uncertainties are not shown in this figure, the parallaxes are of high quality (¯σ ≈ 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='02 mas) – there are only 48 stars in the W1 sample (all with W1 > 13.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='45 mag) which have ϖ/σϖ < 2, while the lowest quality parallax in the W2 sample has ϖ/σϖ = 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The PLZ calibration largely followed the procedure outlined in Gilligan et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (2021) and Layden et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (2019).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' In brief, the PLZ was fit using the Astrometric Based Luminosity (ABL) Amo, defined as: ϖ100.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='2mo−2 = 100.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='2[a(log P +0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='27)+b([Fe/H]+1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='3)+c] (1) where ϖ is the parallax in mas, mo is the absorption corrected apparent magnitude, and the a, b and c are determined in the fit.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The RRc stars had their period fundamentalized by adding 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='127 to log P (Iben & Huchra 1971;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Braga et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2022).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The explicit, non-linear fit, which takes into account the uncertainties in all of the observed quantities was performed using a weighted orthogonal distance regression (Boggs et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 1989;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Zwolak et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2007) and the nonlinear fitting function nls in R (R Core Team 2018).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' An intrinsic dispersion in the PLZ at constant log P and [Fe/H] of 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='02 mag to 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='04 mag was assumed to exist in the PLZ relation during the fit process, consistent with the intrinsic dispersion found in mono-metallicity clusters such as M4 and Reticulum.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The initial PLZ fit indicated that there were some outliers (> 4 σ residuals from the fit) in the data.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' These > 4 σ outliers led to a poor fit (as judged by a quantile-quantile plot of the fit residuals) and were removed from the fit, before the final fit was performed.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' As the number of outliers was never large (at most 11 stars, which is less than 1% of the W1 sample, and less than 3% of the W2 sample) this outlier rejection did not substantially change the fit coefficients, but did lead to a much higher fit quality and a reduced uncertainty in the fit coefficients.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The results of this fit for the W1 filter are illustrated in Figure 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Fits for the W2 filter look similar, though with ∼ 1/2 the number of points.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' In order to accurately estimate the uncertainties in the fitted coefficients, bootstrap resampling was used to generate 10 000 data sets, and the fit was performed 10 000 times.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The bootstrap resampled datasets have the same number of points as the original dataset (see Table 1), but the points in the dataset was selected randomly (with replacement) from the original dataset.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' When picking the points for the bootstrap sample, the value of a particular datapoint was selected from the uncertainty distribution (assuming Gaussian uncertainties in [Fe/H], ϖ, period, magnitude and reddening) associated with that datapoint.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The results of this fitted process are summarized in Table 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The distribution of the fit coefficients for the W1 fit is shown in Figure 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' As expected, given the correlation between period and [Fe/H] in RRLs, there is a strong correlation between the log period slope and the [Fe/H] slope.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' In addition to fitting PLZ relations in the W1 and W2 filters, absolute luminosity relations were also found for the reddening free Wesenheit magnitudes W(W1, V ) = W1 − (V − W1) ∗ 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='061/(1 − 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='061) and W(W2, V ) = W2 − (V − W2) ∗ 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='048/(1 − 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='048), and these fit coefficients are reported on the third and fourth line of Table 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' As a check to Gaia DR3 PLZ 5 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='5 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='5 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 8.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 9.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 11.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 12.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 13.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 14.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 Period (days) W1o π (mas) Magnitude 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='2 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='3 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='4 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='5 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='6 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='7 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='8 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='9 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='5 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='5 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 Period (days) W1o W2o π (mas) 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='5 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='5 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='5 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='3 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='4 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='5 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='6 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='7 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='8 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='9 Period (days) W1o W2o [Fe/H] Period (days) RRab RRc 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='5 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='5 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='5 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 Period (days) W1o W2o [Fe/H] RRab RRc Figure 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The photometric and parallax properties of the star used in the PLZ fits (left panel), along with their Period–[Fe/H] distributions (right panel).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The top two panels show the W2 sample, while the bottom two panels show the W1 sample.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Magnitudes have been dereddened, and RRc stars have had their periods fundamentalized by adding 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='127 to log PF O.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The black triangles are the stars which are more than 4 σ outliers and which were discarded from the final fit.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' determine the sensitivity of these results to the assumed dispersion in the PLZ (at constant period and [Fe/H]) and the astrometric quality cut RUWE, the W(W1, V ) fit was performed for a few different values of these parameters (RUWE< 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='4 with σdisp = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='04 and RUWE< 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='2 with σdisp = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='04).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The trial fitted coefficients were within 1 σ of their value from the first fits;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' therefore, the reported fit uncertainties provide a reasonable estimate of the true uncertainties in the PLZ fits.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' DISTANCES OF THREE STELLAR ASSOCIATIONS IN THE MILKY WAY AND BEYOND We selected three old stellar systems with multi-epoch RRL photometry available in V, W1, and W2 bands in order to test the PLZ and PWZ relations listed in Table 1 by measuring their distance moduli: Messier 4 (M4, NGC 6121) and Reticulum (two globular clusters, the first Galactic, and the second associated to the Large Magellanic Cloud), and the Sculptor dwarf spheroidal (dSph) galaxy in the Local Group.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The three systems are between metal poor and metal intermediate, with [Fe/H] = −1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='66 dex (Mackey & Gilmore 2004) for Reticulum, [Fe/H] = −1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='10 dex (see Braga et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2015) for M4, and [Fe/H] = −1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='85 dex (Mullen et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2022) for Sculptor dSph.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The three systems contain numerous 6 Mullen et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='50 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='40 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='30 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='20 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='10 (AW - AW,fit)/σ Log P 3 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='5 2 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='5 1 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='5 0 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='5 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='5 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 AW fit at mean [Fe/H] 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='5 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='5 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='5 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='5 [Fe/H] 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='45 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='35 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='25 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='15 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='05 Log P [Fe/H] fit at mean log P Figure 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The PW1Z fit after the rejection of 4 σ outliers.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The vertical axis in the top panel is the ABL magnitude computed in the W1 band, AW 1 = ϖ100.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='2mW 1,o−2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Uncertainties AW 1 (top panels) are not shown, but can be inferred by looking at the normalized fit residuals shown in the bottom panels.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Points are colored by their [Fe/H] values in the left panels, and their log P values in the right panels.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Table 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' PLZ and PWZ relationship coefficients defined as M = a(log P + 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='27) + b([Fe/H] + 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='3) + c.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The number of stars in a given fit is denoted by N, the assumed intrinsic dispersion in the PLZ relation is denoted by σdisp α is the color coefficient used in the Wesenheit magnitude.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Magnitude N RUWE σdisp αa a b c W1 1052 < 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='4 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='02 · · −2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='44 ± 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='10 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='144 ± 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='014 −0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='369 ± 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='008 W2 397 < 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='4 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='02 · · −2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='54 ± 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='10 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='151 ± 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='014 −0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='367 ± 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='009 W(W1, V-W1) 1054 < 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='4 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='02 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='065 −2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='55 ± 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='10 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='13 ± 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='015 −0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='438 ± 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='008 W(W2, V-W2) 399 < 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='4 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='02 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='050 −2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='62 ± 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='10 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='14 ± 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='015 −0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='419 ± 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='009 known RRLs: 32 in Reticulum (Demers & Kunkel 1976;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Walker 1992), 47 in M4 (Clement et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2001;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Stetson et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2014), and 536 in Sculptor dSph (Mart´ınez-V´azquez et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2016).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' For this analysis, we used the mean V magnitudes published by Kuehn et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (2013) for Reticulum, by Stetson et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (2014) for M4, and by Mart´ınez-V´azquez et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (2016) in Sculptor dSph.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The infrared photometry available for each Gaia DR3 PLZ 7 Zpt = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='369+0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='008 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='008 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='8 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='6 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='4 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='2 Pslope Pslope = 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='439+0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='094 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='101 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='390 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='375 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='360 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='345 Zpt 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='100 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='125 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='150 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='175 [Fe/H]slope 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='8 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='6 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='4 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='2 Pslope 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='100 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='125 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='150 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='175 [Fe/H]slope [Fe/H]slope = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='144+0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='014 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='014 Figure 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The distribution of the PW1[Fe/H] fit coefficients determined by bootstrap resampling.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' In the figure ‘Zpt’ stands for zero-point (coefficient c in Table 1);' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' ‘Pslope’ stands for the log Period slope (coefficient a) and the slope with [Fe/H] (coefficient b) is called ‘[Fe/H]slope’.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' system is in the Spitzer IRAC 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='6 and 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='5 µm filters (Muraveva et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2018b;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Neeley et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2015;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Garofalo et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2018, respectively), similar to W1 and W2, and showing no significant offset in mean magnitude as shown by Neeley et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (2017).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' It is worth noting that only W1 photometry was available for Sculptor dSph, not W2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' For Reticulum and M4 we have derived four independent distance moduli: two of them using the W1 and W2 PLZ relations, and two more using the PWZ relations based on the W1 and W2 bands, combined with the V -band in the visible.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' For Sculptor dSph we only derived two distance moduli based on the W1 PLZ, and the V -W1 PWZ.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' For this reason we have limited out RRL samples to the stars that, in each system, have photometry in both optical and infrared bands.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' In addition to that, we have applied some quality criteria (described below) intended to remove outliers in the distance measurement.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' For Reticulum, we followed the same methodology as in Gilligan et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (2021) and reject from the 30 RRL stars with V, W1, and W2 measurements, those stars that Muraveva et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (2018b) does not include in their calculations of the PL (i.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', V01, V08, V19, V24, V28, V32) since their position on the color-magnitude diagram is unusual or they 8 Mullen et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' have noisy light curves, leaving 24 RRLs in our final sample.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' In the case of M4, following Neeley et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (2015), we reject two stars (V20 and V21) for being blended with nearby sources.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Thus, we end up with 31 RRL stars having W1 mean magnitudes and 28 with W2 mean magnitudes.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' For Sculptor dSph, we only select the RRL classified by Mart´ınez-V´azquez et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (2016) containing both V and W1 photometry, ending up with 42 stars.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' In order to get the true distance modulus (µ0) from the PLZ relationships, we dereddened the W1 and W2 pho- tometry.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' We adopted E(B − V ) = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='03 (Walker 1992) for Reticulum, E(B − V ) = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='37 (Hendricks et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2012) for M4, and E(B − V ) = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='018 (Pietrzy´nski et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2008) for Sculptor dSph.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The reddening was then converted into extinction in the WISE bands using the relations AW 1 = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='203 E(B − V ) and AW 2 = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='156 E(B − V ) (Monson et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2012) for Sculptor dSph and Reticulum (assuming RV = 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' For M4, the ratio of total to selective absorption is different (RV = 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='62, Hendricks et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2012), so we used the following extinction values, AW 1 = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='251 E(B − V ) and AW 2 = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='193 E(B − V ).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' We used these latter extinction coefficients to update M4’s α∗ coefficients for the Wesenheit magnitudes, with α∗(W1, V − W1) = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='075 and α∗(W2, V − W2) = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='056 (Gilligan et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2021).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The distance moduli we obtained for each system are listed in Table 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The quoted uncertainties are the sum of the systematic and random uncertainties of each measurement.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The former are obtained by propagation of errors consid- ering the photometric uncertainties of the mean magnitudes in V , W1, and W2, the uncertainties of the coefficients in the relationships (see Table 1), and the nominal uncertainties of 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='2 dex in [Fe/H] and 10−4 days in the period.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' In the case of the distances calculated from PLZ, we also take account of the uncertainty that comes from the reddening value, considered to be 10%.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The random uncertainties are instead estimated from the standard error of the mean, i.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', the standard deviation divided by the square root of the number of RRL stars used to derive the distance modulus.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Table 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Distance Moduli System Filter µ0 [mag] Reticulum PW(W1,V-W1) 18.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='22±0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='10 Reticulum PW(W2,V-W2) 18.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='23±0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='11 Reticulum W1 18.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='23±0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='10 Reticulum W2 18.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='24±0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='12 M4 (NGC 6121) PW(W1,V-W1) 11.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='19±0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='08 M4 (NGC 6121) PW(W2,V-W2) 11.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='14±0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='08 M4 (NGC 6121) W1 11.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='18±0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='08 M4 (NGC 6121) W2 11.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='13±0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='08 Sculptor dSph PW(W1,V-W1) 19.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='46±0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='08 Sculptor dSph W1 19.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='47±0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='08 Figure 4 compares the distance moduli calculated through this work’s PLZ/PWZ relations (blue squares) to a selection of literature distance measurements from the last ten years (i.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', from 2012) for these three stellar systems.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Next to each measurement, we list the method used to estimate the distance modulus;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' for methods based upon RRL, we also note within parentheses how the zero-point of the calibration was obtained.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The error bars plotted are those given by the original study, which for some works listed are just the random errors, not accounting for additional uncertainties such as zero-point calibration, and therefore may be underestimated.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' It is worth noting that the different works are based upon different methods and/or stellar calibrators.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' They possess different intrinsic dispersion, and sometimes they may be based on fixed assumptions such as reddening and metallicity in the case of PLZ/PWZ.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' We refer the reader to explore the individual references listed for full details about the calibration utilized and determined distance moduli.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Overall, the distance moduli estimated with this work’s various PLZ/PWZ relations are in good agreement with each other for Reticulum (within 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='02 mag) and Sculptor dSph (within 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='01 mag) and quite similar for M4 (within 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='05 mag), with an average distance modulus (blue vertical lines in Figure 4) of ¯µ0 = 18.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='23 ± 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='06 for Reticulum, ¯µ0 = 11.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='16 ± 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='05 for M4, and ¯µ0 = 19.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='47 ± 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='06 for Sculptor dSph.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The errors noted on the average distance moduli are just the statistical error due to photometry, i.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', the uncertainty divided by the square root of the number (N) of independent bands used in the average (N=2 for Sculptor and N=3 for M4 and Reticulum).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' An analysis of Figure 4 shows that our distance moduli and those RRL relations based on an EDR3 anchor tend to be consistently smaller Gaia DR3 PLZ 9 18.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='2 18.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='4 18.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='6 18.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='8 19.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 19.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='2 0 [mag] Reticulum (1) (W1,V-W1) RRL PWZ (EDR3 calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (1) (W2,V-W2) RRL PWZ (EDR3 calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (1) W1 RRL PLZ (EDR3 calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (1) W2 RRL PLZ (EDR3 calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (2) (W1,V-W1) RRL PWZ (EDR3 calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (2) (W2,V-W2) RRL PWZ (EDR3 calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (2) W1 RRL PLZ (EDR3 calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (2) W2 RRL PLZ (EDR3 calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (3) I RRL PLZ (Theor.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (3) J RRL PLZ (Theor.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (3) K RRL PLZ (Theor.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (3) W1 RRL PLZ (Theor.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (3) W2 RRL PLZ (Theor.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (3) (V,B-I) RRL PWZ (Theor.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (4) W1 RRL PLZ (HST calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (4) W1 RRL PLZ (TGAS calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (4) W1 RRL PLZ (DR2 calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (4) W2 RRL PLZ (HST calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (4) W2 RRL PLZ (TGAS calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (4) W2 RRL PLZ (DR2 calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (5) V RRL PL (HST calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (5) I RRL PLZ (Theor.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') Ref.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Method Filter 11.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 11.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='2 11.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='4 11.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='6 11.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='8 12.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 12.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='2 0 [mag] M4 (1) (W1,V-W1) RRL PWZ (EDR3 calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (1) (W2,V-W2) RRL PWZ (EDR3 calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (1) W1 RRL PLZ (EDR3 calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (1) W2 RRL PLZ (EDR3 calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (6) V RRL LZ (EDR3 calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (6) G RRL LZ (EDR3 calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (6) (G,GBP-GRP) RRL PWZ (EDR3 calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (2) (W1,V-W1) RRL PWZ (EDR3 calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (2) (W2,V-W2) RRL PWZ (EDR3 calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (2) W1 RRL PLZ (EDR3 calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (2) W2 RRL PLZ (EDR3 calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (7) KS RRL PLZ (EDR3 calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (7) KS RRL PLZ (Theor.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (8) EDR3 astrometry (9) EDR3 astrometry (9) EDR3 kinematics (10) CMD Fitting (11) DR2 astrometry (12) I to W2 RRL PLZ (DR2 calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (13) R to W2 RRL PLZ (Theor.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (14) Red Giant Oscillations (15) CMD Fitting (16) W1 RRL PL (HST calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (16) W2 RRL PL (HST calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (17) R RRL PLZ (Theor.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (17) K RRL PLZ (Theor.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (17) (K,V-K) RRL PWZ (Theor.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (17) R to K RRL PWZ (Theor.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (18) Ecl.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Binaries (19) ZAHB Ref.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Method Filter 19.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='4 19.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='6 19.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='8 20.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 20.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='2 20.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='4 0 [mag] Sculptor (1) RRL PWZ (EDR3 calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (W1,V-W1) (1) RRL PLZ (EDR3 calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') W1 (20) TRGB (20) HB (20) RRL PWZ (DR2 calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (I,V-I) (21) RRL PWZ (EDR3 calib) (V,V-I) (22) RRL PLZ (Theor.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') W1 (22) RRL PLZ (DR2 calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') W1 (22) RRL PLZ (HST calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') W1 (23) RRL PW (Theor.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=') (V,B-(V or I)) (24) CMD Fitting Ref.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Method Filter Figure 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Comparison of the true distance moduli from this work (blue squares) and literature from the last decade (black circles).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The vertical lines represent the mean and statistical error (see text) of this work’s measurements.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Beside each measurement is listed a number corresponding to the reference used to make this figure (below), method used to estimate the distance modulus, and observation band.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' References - (1) This work;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (2) Gilligan et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2021;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (3) Braga et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2019;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (4) Muraveva et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2018b;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (5) Kuehn et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2013;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (6) Garofalo et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2022;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (7) Bhardwaj et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2021;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (8) Vasiliev & Baumgardt 2021;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (9) Baumgardt & Vasiliev 2021;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (10) Valcin et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2020;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (11) Shao & Li 2019;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (12) Neeley et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2019;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (13) Neeley et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2017;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (14) Miglio et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2016;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (15) Correnti et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2016 (16) Neeley et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2015;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (17) Braga et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2015;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (18) Kaluzny et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2013;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (19) Hendricks et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2012;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (20) Tran et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2022;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (21) Nagarajan et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2021;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (22) Garofalo et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2018;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (23) Mart´ınez-V´azquez et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2015;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (24) Weisz et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2014.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 10 Mullen et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Reticulum M4 Sculptor 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='2 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='2 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='3 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='4 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='5 0 0(HST) = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='22±0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='11 0(DR2) = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='12±0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='08 0(EDR3) = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='06±0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='10 Figure 5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The difference in distance moduli between the average literature measurement of those marked in Figure 4 as either HST calibration (red squares), DR2 calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (green triangles), or EDR3 calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (yellow circles) and that of this work for three stellar systems: M4, Reticulum, and Sculptor.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Errors are propagated from the error in the average distance moduli of this work added in quadrature with the average error of the literature moduli for each calibration type.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Horizontal lines represent the average relative distance moduli across all three systems for each type of calibrator used.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' than other distance moduli determinations in the literature.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' For Reticulum, we note that the distance modulus is smaller than the LMC (µ0 ≈18.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='4 mag);' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' however, some discrepancy is expected, as Reticulum is widely separated from the center of the LMC (∼11 degrees on the plane of the sky, Walker 1992).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Note that only M4 is close enough to currently provide a reliable distance measurement directly from parallax.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The parallax distance to M4 reported by Vasiliev & Baumgardt (2021) yields a distance modulus of 11.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='26 ± 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='04 mag after accounting for the individual stellar parallax corrections of Lindegren et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (2021b) and taking into account spatially correlated systematic errors.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' In comparison, the EDR3 anchored RRL measurements all provide smaller distance moduli than that from astrometry, with our average M4 measurement 2σ smaller.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Relative discrepancies between individual calibrations can partially be attributed to different assumptions in dif- ferential reddening (important with clusters such as M4) and small differences in photometric bands (such as those between IRAC and WISE).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Futhermore, even in the Gaia EDR3 release, parallax measurements are still prone to bias with color and magnitude-dependent zero-point offset.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Lindegren et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (2021b), as applied, provides a first-order correction to this issue;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' however, the RRL stars used in our PLZ/PWZ relations possess a quite different color and magnitude than the very bright giant stars often used for direct parallax measurements of globular clusters.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Note, however, that Vasiliev & Baumgardt (2021) suggests Lindegren et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (2021b) might be overcorrecting the Gaia EDR3 parallaxes by ϖ ∼ 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='007 mas, as applied in Baumgardt & Vasiliev (2021) yielding a slightly larger distance modulus.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' It will be interesting to see how future improvements to parallax corrections affect the different types of distance estimates.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' In the mean time, this work corroborates the growing trend of EDR3 anchored RRL distance measurements yielding smaller distance moduli, as shown in works such as Garofalo et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (2022), Gilligan et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (2021), Nagarajan et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (2021), and Bhardwaj et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (2021).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' In Figure 5, we analyze the relative difference between the average distance moduli for M4, Reticulum, and Sculptor calculated in this work and three categories of calibrators: those marked in Figure 4 as DR2 calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (Muraveva et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2018b;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Neeley et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2019;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Tran et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2022;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Garofalo et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2018), HST calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' (Muraveva et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2018b;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Kuehn et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2013;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Neeley et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2015;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Garofalo et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2018), or EDR3 calib.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' from other works (Gilligan et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2021;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Garofalo et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2022;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Bhardwaj et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2021;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Nagarajan et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2021).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' For all stellar systems, we note a decreasing offset from the HST calibrations (∆µ0 = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='22±0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='11 mag) to DR2 calibrations (∆µ0 = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='12±0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='08 mag) and continuing to other EDR3 calibrations (∆µ0 = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='06 ± 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='10 mag, consistent with our work).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' We regard the offset in distance moduli as a difference with the zero-point between the different calibrators.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' By doing this check, we also show that the systematically smaller EDR3 distances appear to be unrelated to the choice of metallicity term in individual PLZ calibrations, as we see the same trend across all three systems.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Gaia DR3 PLZ 11 5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' CONCLUSIONS In this work, we provide new empirical PLZ/PWZ relations using infrared (W1 and W2 band) and optical (V band) photometry based on the latest Gaia EDR3 parallaxes.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Our relations are calibrated using an entirely field RRL- based sample of both RRab and fundamentalized RRc variables for which homogeneous spectroscopic abundances are available and cover a broad range of metallicities (−2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='5 ≲ [Fe/H] ≲ 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='0) derived from HR spectra and the ∆S method, using techniques developed by C21.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' We derive the period and mean magnitudes used in our calibration directly from the densely populated/ long temporal baselines of the ASASSN and WISE surveys, ensuring a uniform calibration sample.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Furthermore, our work utilized the homogeneous processing and quality criterion of Mullen+2021 and Mullen+2022 to uniformly derive the period and mean magnitude, thereby ensuring homogeneity through all of our calibrating variables and a clean sample of RRL stars in ASSASN and WISE surveys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Our overall sample contained ∼1000 stars with W1 band magnitudes and ∼400 stars in W2, from which we applied Markov chain Monte Carlo to derive our PLZ/PWZ relations.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' In order to test the performance of our newly derived PLZ and PWZ relations, we determine distance moduli to the Sculptor dwarf spheroidal galaxy (finding ¯µ0 = 19.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='47 ± 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='06) and the globular clusters M4 (¯µ0 = 11.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='16 ± 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='05) and Reticulum (¯µ0 = 18.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='23±0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='06).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The distance moduli determined through all of our relations are internally self-consistent (within ≲ 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='05 mag).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' A comparison with previous literature measurements taken from a variety of methods/anchors reveals that our distance moduli are systematically smaller (by up to ∼ 2-3σ).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Compared to direct EDR3 parallax measurements, our RRL EDR3-based PLZ/PWZ distance to M4 has a ∼0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1 mag smaller distance modulus.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Similarly, other RRL EDR3 anchored calibrations all likewise show to varying extents a systematically smaller distance modulus for the RRL relations when compared to EDR3 parallaxes.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' We analyze the difference between the average distance moduli for HST, Gaia DR2, and Gaia DR3 calibrations for each of our stellar systems and note across each system a consistent offset relative to this work of ∆µ0(HST) = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='22 ± 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='11 mag and ∆µ0(DR2) = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='12 ± 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='08 mag.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' This suggests that the differences in distance moduli noted are not due to any selection bias in the metallicity term of the PLZ and point towards biases in distance moduli based upon what is used as the zero-point in the PLZ calibrations.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 6.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' ACKNOWLEDGMENTS 12 Mullen et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' This publication makes use of data products from WISE, which is a joint project of the University of California, Los Angeles, and the Jet Propulsion Laboratory (JPL)/California Institute of Technology (Caltech), funded by the National Aeronautics and Space Administration (NASA), and from NEOWISE, which is a JPL/Caltech project funded by NASA’s Planetary Science Division.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' This publication also makes use of data products from the ASAS-SN project, which has their telescopes hosted by Las Cumbres Observatory.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' ASAS-SN is supported by the Gordon and Betty Moore Foundation through grant GBMF5490 and the NSF by grants AST-151592 and AST-1908570.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Development of ASAS-SN has been supported by Peking University, Mt.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Cuba Astronomical Foundation, Ohio State University Center for Cosmology and AstroParticle Physics, the Chinese Academy of Sciences South America Center for Astronomy (CASSACA), the Villum Foundation, and George Skestos.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' This work has made use of data from the European Space Agency (ESA) mission Gaia (https://www.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='cosmos.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='esa.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' int/gaia), processed by the Gaia Data Processing and Analysis Consortium (DPAC, https://www.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='cosmos.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='esa.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='int/ web/gaia/dpac/consortium).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Funding for the DPAC has been provided by national institutions, in particular the institutions participating in the Gaia Multilateral Agreement.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Guoshoujing Telescope (the Large Sky Area Multi-Object Fiber Spectroscopic Telescope LAMOST) is a National Major Scientific Project built by the Chinese Academy of Sciences.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Funding for the project has been provided by the National Development and Reform Commission.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' LAMOST is operated and managed by the National Astronomical Observatories, Chinese Academy of Sciences.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Funding for the SDSS and SDSS-II has been provided by the Alfred P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Sloan Foundation, the Participating In- stitutions, the National Science Foundation, the U.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Department of Energy, the National Aeronautics and Space Administration, the Japanese Monbukagakusho, the Max Planck Society, and the Higher Education Funding Council for England.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The SDSS Web Site is http://www.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='sdss.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='org/.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The SDSS is managed by the Astrophysical Research Consortium for the Participating Institutions.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' The Participating Institutions are the American Museum of Natural History,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Astrophysical Institute Potsdam,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' University of Basel,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' University of Cambridge,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Case Western Reserve Uni- versity,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' University of Chicago,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Drexel University,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Fermilab,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' the Institute for Advanced Study,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' the Japan Participation Group,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Johns Hopkins University,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' the Joint Institute for Nuclear Astrophysics,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' the Kavli Institute for Particle As- trophysics and Cosmology,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' the Korean Scientist Group,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' the Chinese Academy of Sciences (LAMOST),' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Los Alamos National Laboratory,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' the Max-Planck-Institute for Astronomy (MPIA),' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' the Max-Planck-Institute for Astrophysics (MPA),' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' New Mexico State University,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Ohio State University,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' University of Pittsburgh,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' University of Portsmouth,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Princeton University,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' the United States Naval Observatory,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' and the University of Washington.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Mullen and M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Marengo are supported by the National Science Foundation under Grant No.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' AST-1714534.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Mart´ınez-V´azquez is supported by the international Gemini Observatory, a program of NSF’s NOIRLab, which is managed by the Association of Universities for Research in Astronomy (AURA) under a cooperative agreement with the National Science Foundation, on behalf of the Gemini partnership of Argentina, Brazil, Canada, Chile, the Republic of Korea, and the United States of America.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Bono acknowledges partial support from PNRR, CN1, spoke 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Monelli acknowledges financial support from the ACIISI, Consejer´ıa de Econom´ıa, Conocimiento y Empleo del Gobierno de Canarias and the European Regional Development Fund (ERDF) under the grant with reference ProID2021010075.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Monelli, also, acknowledges support from the Agencia Estatal de Investigaci´on del Ministerio de Ciencia e Innovaci´on (AEI-MCINN) under grant ”At the forefront of Galactic Archaeology: evolution of the luminous and dark matter components of the Milky Way and Local Group dwarf galaxies in the Gaia era” with reference PID2020-118778GB-I00/10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='13039/501100011033.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Further financial support for M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Monelli comes from the Spanish Ministry of Science and Innovation (MICINN) through the Spanish State Research Agency, under Severo Ochoa Programe 2020-2023 (CEX2019-000920-S).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Facilities: WISE, ASAS-SN, Gaia, LAMOST, SDSS-SEGUE Software: Astropy (Astropy Collaboration et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2013), SciPy (Virtanen et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2020) REFERENCES Abbott, T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Abdalla, F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Allam, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2018, ApJS, 239, 18, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='3847/1538-4365/aae9f0 Astropy Collaboration, Robitaille, T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Tollerud, E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2013, A&A, 558, A33, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1051/0004-6361/201322068 Gaia DR3 PLZ 13 Baade, W.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 1958, Ricerche Astronomiche, 5, 3 Baumgardt, H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', & Vasiliev, E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2021, MNRAS, 505, 5957, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1093/mnras/stab1474 Bellm, E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Kulkarni, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Graham, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2019, PASP, 131, 018002, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1088/1538-3873/aaecbe Bhardwaj, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Rejkuba, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', de Grijs, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2021, ApJ, 909, 200, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='3847/1538-4357/abdf48 Boggs, P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Donaldson, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Byrd, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' h.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', & Schnabel, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 1989, ACM Trans.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Math.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Softw.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', 15, 348–364, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1145/76909.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='76913 Bono, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Caputo, F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Castellani, V.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2003, MNRAS, 344, 1097, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1046/j.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1365-8711.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='2003.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='06878.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='x Bono, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Braga, V.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Pietrinferni, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2016, Mem.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Soc.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Astron.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Italiana, 87, 358 Braga, V.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Dall’Ora, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Bono, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2015, ApJ, 799, 165, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1088/0004-637X/799/2/165 Braga, V.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Stetson, P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Bono, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2019, A&A, 625, A1, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1051/0004-6361/201834893 Braga, V.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Fiorentino, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Bono, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2022, MNRAS, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1093/mnras/stac2813 Caputo, F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 1998, A&A Rv, 9, 33, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1007/s001590050014 Cardelli, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Clayton, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', & Mathis, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 1989, ApJ, 345, 245, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1086/167900 Carretta, E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Bragaglia, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Gratton, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', D’Orazi, V.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', & Lucatello, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2009, A&A, 508, 695, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1051/0004-6361/200913003 Catelan, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', & Smith, H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2015, Pulsating Stars Chambers, K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Magnier, E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Metcalfe, N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2016, arXiv e-prints, arXiv:1612.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='05560.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' https://arxiv.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='org/abs/1612.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='05560 Clement, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Muzzin, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Dufton, Q.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2001, AJ, 122, 2587, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1086/323719 Clementini, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Ripepi, V.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Leccia, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2016, A&A, 595, A133, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1051/0004-6361/201629583 Clementini, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Ripepi, V.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Molinaro, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2019, A&A, 622, A60, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1051/0004-6361/201833374 Correnti, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Gennaro, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Kalirai, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Brown, T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', & Calamida, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2016, ApJ, 823, 18, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='3847/0004-637X/823/1/18 Crestani, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Fabrizio, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Braga, V.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2021, ApJ, 908, 20, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='3847/1538-4357/abd183 Dambis, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Berdnikov, L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Kniazev, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Y.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2013, MNRAS, 435, 3206, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1093/mnras/stt1514 Demers, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', & Kunkel, W.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 1976, ApJ, 208, 932, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1086/154682 Deng, L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='-C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Newberg, H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Liu, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2012, Research in Astronomy and Astrophysics, 12, 735, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1088/1674-4527/12/7/003 Drake, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Djorgovski, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Mahabal, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2009, ApJ, 696, 870, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1088/0004-637X/696/1/870 Fabricius, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Luri, X.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Arenou, F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2021, A&A, 649, A5, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1051/0004-6361/202039834 Fabrizio, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Braga, V.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Crestani, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2021, ApJ, 919, 118, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='3847/1538-4357/ac1115 Gaia Collaboration, Brown, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Vallenari, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2021, A&A, 649, A1, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1051/0004-6361/202039657 Gaia Collaboration, Vallenari, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Brown, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2022, arXiv e-prints, arXiv:2208.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='00211.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' https://arxiv.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='org/abs/2208.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='00211 Garofalo, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Delgado, H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Sarro, L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2022, MNRAS, 513, 788, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1093/mnras/stac735 Garofalo, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Scowcroft, V.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Clementini, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2018, MNRAS, 481, 578, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1093/mnras/sty2222 Garofalo, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Scowcroft, V.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Clementini, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2018, Monthly Notices of the Royal Astronomical Society, 481, 578, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1093/mnras/sty2222 Gilligan, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Chaboyer, B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Marengo, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2021, MNRAS, 503, 4719, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1093/mnras/stab857 Hendricks, B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Stetson, P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', VandenBerg, D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', & Dall’Ora, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2012, AJ, 144, 25, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1088/0004-6256/144/1/25 Iben, I.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', & Huchra, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 1971, A&A, 14, 293 Jayasinghe, T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Kochanek, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Stanek, K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Z.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2018, MNRAS, 477, 3145, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1093/mnras/sty838 Kaluzny, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Thompson, I.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Rozyczka, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2013, AJ, 145, 43, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1088/0004-6256/145/2/43 Kuehn, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Dame, K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Smith, H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2013, AJ, 145, 160, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1088/0004-6256/145/6/160 Lallement, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Babusiaux, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Vergely, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2019, A&A, 625, A135, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1051/0004-6361/201834695 Layden, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Tiede, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Chaboyer, B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Bunner, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', & Smitka, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2019, AJ, 158, 105, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='3847/1538-3881/ab2e10 Leavitt, H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 1908, Annals of Harvard College Observatory, 60, 87 Leavitt, H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', & Pickering, E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 1912, Harvard College Observatory Circular, 173, 1 Li, X.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='-Y.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Huang, Y.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Liu, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='-C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Beers, T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', & Zhang, H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='-W.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2022, Photometric metallicity and distance estimates for ∼ 136,000 RR Lyrae stars from Gaia DR3, arXiv, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='48550/ARXIV.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='2206.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='07668 Lindegren, L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Klioner, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Hern´andez, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2021a, A&A, 649, A2, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1051/0004-6361/202039709 Lindegren, L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Bastian, U.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Biermann, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2021b, A&A, 649, A4, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1051/0004-6361/202039653 14 Mullen et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Liu, X.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' W.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Yuan, H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Huo, Z.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Y.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2014, in IAU Symposium, Vol.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 298, Setting the scene for Gaia and LAMOST, ed.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Feltzing, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Zhao, N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Walton, & P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Whitelock, 310–321, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1017/S1743921313006510 Lomb, N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 1976, Ap&SS, 39, 447, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1007/BF00648343 Mackey, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', & Gilmore, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2004, MNRAS, 352, 153, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1111/j.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1365-2966.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='2004.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='07908.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='x Madore, B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Hoffman, D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Freedman, W.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2013, ApJ, 776, 135, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1088/0004-637X/776/2/135 Mainzer, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Bauer, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Grav, T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2011, ApJ, 731, 53, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1088/0004-637X/731/1/53 Marconi, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Coppola, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Bono, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2015, ApJ, 808, 50, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1088/0004-637X/808/1/50 Mart´ınez-V´azquez, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Monelli, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Bono, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2015, MNRAS, 454, 1509, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1093/mnras/stv2014 Mart´ınez-V´azquez, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Monelli, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Gallart, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2016, Monthly Notices of the Royal Astronomical Society: Letters, 461, L41, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1093/mnrasl/slw093 Miglio, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Chaplin, W.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Brogaard, K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2016, MNRAS, 461, 760, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1093/mnras/stw1555 Monson, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Freedman, W.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Madore, B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2012, ApJ, 759, 146, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1088/0004-637X/759/2/146 Mullen, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Marengo, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Mart´ınez-V´azquez, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2021, ApJ, 912, 144, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='3847/1538-4357/abefd4 Mullen, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Marengo, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Mart´ınez-V´azquez, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2022, Metallicity of Galactic RR Lyrae from Optical and Infrared Light Curves: II.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Period-Fourier-Metallicity Relations for First Overtone RR Lyrae, arXiv, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='48550/ARXIV.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='2204.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='07627 Muraveva, T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Delgado, H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Clementini, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Sarro, L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', & Garofalo, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2018a, MNRAS, 481, 1195, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1093/mnras/sty2241 Muraveva, T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Garofalo, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Scowcroft, V.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2018b, MNRAS, 480, 4138, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1093/mnras/sty1959 Nagarajan, P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Weisz, D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', & El-Badry, K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2021, arXiv e-prints, arXiv:2111.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='06899.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' https://arxiv.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='org/abs/2111.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='06899 Neeley, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Marengo, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Bono, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2015, ApJ, 808, 11, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1088/0004-637X/808/1/11 —.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2017, ApJ, 841, 84, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='3847/1538-4357/aa713d Neeley, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Marengo, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Freedman, W.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2019, MNRAS, 490, 4254, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1093/mnras/stz2814 Persson, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Madore, B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Krzemi´nski, W.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2004, AJ, 128, 2239, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1086/424934 Pietrzy´nski, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Gieren, W.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Szewczyk, O.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2008, AJ, 135, 1993, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1088/0004-6256/135/6/1993 Preston, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' W.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 1959, ApJ, 130, 507, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1086/146743 R Core Team.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2018, R: A Language and Environment for Statistical Computing, R Foundation for Statistical Computing, Vienna, Austria.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' https://www.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='R-project.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='org/ Ricker, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Winn, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Vanderspek, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2015, Journal of Astronomical Telescopes, Instruments, and Systems, 1, 014003, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1117/1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='JATIS.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='014003 Riess, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Breuval, L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Yuan, W.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2022, arXiv e-prints, arXiv:2208.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='01045.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' https://arxiv.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='org/abs/2208.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='01045 Sandage, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 1990, ApJ, 350, 603, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1086/168415 Savino, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Koch, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Prudil, Z.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Kunder, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', & Smolec, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2020, A&A, 641, A96, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1051/0004-6361/202038305 Scargle, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 1982, ApJ, 263, 835, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1086/160554 Shao, Z.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', & Li, L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2019, MNRAS, 489, 3093, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1093/mnras/stz2317 Shappee, B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Prieto, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Grupe, D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2014, ApJ, 788, 48, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1088/0004-637X/788/1/48 Stetson, P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Braga, V.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Dall’Ora, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2014, PASP, 126, 521, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1086/677195 Szymanski, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2005, AcA, 55, 43.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' https://arxiv.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='org/abs/astro-ph/0602018 Tran, Q.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Hoyt, T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Freedman, W.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2022, arXiv e-prints, arXiv:2205.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='08548.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' https://arxiv.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='org/abs/2205.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='08548 Valcin, D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Bernal, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Jimenez, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Verde, L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', & Wandelt, B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2020, Journal of Cosmology and Astroparticle Physics, 2020, 002, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1088/1475-7516/2020/12/002 Vasiliev, E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', & Baumgardt, H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2021, Monthly Notices of the Royal Astronomical Society, 505, 5978, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1093/mnras/stab1475 Virtanen, P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Gommers, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Oliphant, T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2020, Nature Methods, 17, 261, doi: https://doi.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='org/10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1038/s41592-019-0686-2 Walker, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 1989, PASP, 101, 570, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1086/132470 —.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 1992, AJ, 103, 1166, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1086/116135 Weisz, D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Dolphin, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Skillman, E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2014, ApJ, 789, 147, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1088/0004-637X/789/2/147 Wright, E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Eisenhardt, P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Mainzer, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2010, AJ, 140, 1868, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1088/0004-6256/140/6/1868 Yanny, B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Rockosi, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Newberg, H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2009, AJ, 137, 4377, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1088/0004-6256/137/5/4377 Yuan, H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Liu, X.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' W.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', & Xiang, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2013, MNRAS, 430, 2188, doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='1093/mnras/stt039 Zwolak, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' W.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', Boggs, P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', & Watson, L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' 2007, ACM Trans.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Math.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' Softw.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=', 33, 27.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content=' http://dblp.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='uni-trier.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='de/ db/journals/toms/toms33.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'} +page_content='html#ZwolakBW07' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/ANE2T4oBgHgl3EQfRAe7/content/2301.03777v1.pdf'}