The Barnes-Evans color-surface brightness relation: A preliminary theoretical interpretation

Statistics – Applications

Scientific paper

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Atmospheric Models, Brightness Temperature, Stellar Atmospheres, Stellar Luminosity, Stellar Spectra, Cepheid Variables, Distance, Giant Stars, Stellar Gravitation

Scientific paper

Model atmosphere calculations are used to assess whether an empirically derived relation between V-R and surface brightness is independent of a variety of stellar paramters, including surface gravity. This relationship is used in a variety of applications, including the determination of the distances of Cepheid variables using a method based on the Beade-Wesselink method. It is concluded that the use of a main sequence relation between V-R color and surface brightness in determining radii of giant stars is subject to systematic errors that are smaller than 10% in the determination of a radius or distance for temperature cooler than 12,000 K. The error in white dwarf radii determined from a main sequence color surface brightness relation is roughly 10%.

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