Investigation of the Effect of the Errors of Limb Darkening Coefficients on the Geometric Parameters of a Binary System with an Exoplanet

Abstract

Based on the observed light curves of Kepler-5, Kepler-6, Kepler-7, HD 209458, a search was made for the geometric parameters of a binary system with an exoplanet for different values of the limb darkening coefficients of the parent star. It is shown that for the observed light curves with relative accuracy ${{10}^{{ - 4}}}{-} {{10}^{{ - 5}}}$, an error by a factor of several times in the value of the limb darkening coefficient does not significantly affect the values of the planet radius, stellar radius, and orbital inclination.