The period-luminosity relation for Cepheids. I - Numerical simulations

Astronomy and Astrophysics – Astronomy

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Cepheid Variables, Computerized Simulation, Stellar Luminosity, Stellar Rotation, Color, Confidence Limits, Interstellar Extinction, Milky Way Galaxy, Quantitative Analysis, Random Errors, Stellar Spectrophotometry

Scientific paper

Numerical simulations of the empirical determination of the period-luminosity-color relation for classical Cepheids are presented. In this study the quantitative effects of random errors, reddening, sample size and the presence of both color and period cut-offs (imposed by the finite extent of the instability strip) on the observational redetermination of the original relation are evaluated. Both random errors in the photometry and correlated errors in the reddening corrections are shown to have systematic effects. Especially sensitive to these errors is the color coefficient in the period-luminosity-color relation, where the ratio of the error to the width of the instability strip is the determining factor. With present observations only broad confidence limits can be placed on present knowledge of the intrinsic period-luminosity-color relation and/or its variations from galaxy to galaxy.

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