{ "id": "1007.3441", "version": "v1", "published": "2010-07-20T14:51:46.000Z", "updated": "2010-07-20T14:51:46.000Z", "title": "Fundamental parameters of RR Lyrae stars from multicolour photometry and Kurucz atmospheric models. I. Theory and practical implementation", "authors": [ "Szabolcs Barcza" ], "comment": "8 pages, 3 figures", "journal": "MNRAS, 2010, 406, p 486-492", "doi": "10.1111/j.1365-2966.2010.16676.x", "categories": [ "astro-ph.SR" ], "abstract": "A photometric calibration of Kurucz static model atmospheres is used to obtain the following parameters of RR Lyrae stars: variation of stellar angular radius $\\vartheta$, effective temperature $T_{\\rm e}$, gravity $g_{\\rm e}$ as a function of phase, interstellar reddening $E(B-V)$ towards the star and atmospheric metallicity $M$. Photometric and hydrodynamic conditions are given to find the phases of pulsation when the quasi-static atmosphere approximation (QSAA) can be applied. The QSAA is generalized to a non-uniformly moving spherical atmosphere, and the distance $d$, mass ${\\cal M}$ and atmospheric motion are derived from the laws of mass and momentum conservation. To demonstrate the efficiency of the method, the $UBV(RI)_C$ photometry of SU Dra was used to derive the following parameters: $[M]=-1.60\\pm .10$~dex, $E(B-V)=0.015\\pm .010$, $d=663\\pm 67$~pc, ${\\cal M}=(0.68\\pm .03){\\cal M}_\\odot$, equilibrium luminosity $L_{\\rm eq}=45.9\\pm 9.3L_\\odot$ and $T_{\\rm eq}=6813\\pm 20$~K.", "revisions": [ { "version": "v1", "updated": "2010-07-20T14:51:46.000Z" } ], "analyses": { "keywords": [ "rr lyrae stars", "kurucz atmospheric models", "fundamental parameters", "multicolour photometry", "practical implementation" ], "tags": [ "journal article" ], "publication": { "publisher": "Wiley-Blackwell", "journal": "J. Finance" }, "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "inspire": 861975, "adsabs": "2010arXiv1007.3441B" } } }