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The RR Lyrae Period‐Luminosity Relation. I. Theoretical Calibration

2004/06/02 by M. Catelan, B. J. Pritzl, H. A. Smith +1 · 6 citations
Chemistry · Engineering · Materials Science · Mathematics · Physics and Astronomy · #A priori and a posteriori #Astrophysics #Biology #Calibration #Calibration and Measurement Techniques #Computer science #Function (biology) #Geology #Glass properties and applications #Luminosity #Mathematics #Paleontology #Period (music) #Philosophy #Photochemistry and Electron Transfer Studies #Physics #RR Lyrae variable #Relation (database) #Stars #Statistics #Type (biology) #astro-ph

paper · pdf · doi:10.1086/422916

20 pages, 14 figures. ApJ Supplements, in press. Preprint uses emulateapj.cls, version 04/2004 (included). Low-resolution version. The interested reader is strongly urged to download the full-resolution preprint from http://www.astro.puc.cl/~mcatelan/

arxiv created 2004/06/02 · openalex publication_date 2004/09/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present a theoretical calibration of the RR Lyrae period-luminosity (PL) relation in the UBVRIJHK Johnson-Cousins-Glass system. Our theoretical work is based on calculations of synthetic horizontal branches (HBs) for several different metallicities, fully taking into account evolutionary effects besides the effect of chemical composition. Extensive tabulations of our results are provided, including convenient analytical formulae for the calculation of the coefficients of the period-luminosity relation in the different passbands as a function of HB type. We also provide "average" PL relations in IJHK , for applications in cases where the HB type is not known a priori; as well as a new calibration of the M V -[ M /H] relation. These can be summarized as follows: and

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