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Effect of the Eccentricity of the Planet's Orbit on the Limb Darkening Coefficients of the Eclipsed Star

Cherepashchuk, A. M.; Bekesov, E. V.

It is shown that the introduction of a small orbital eccentricity into the model of a binary system with an exoplanet, which is allowed by errors in determining the radial velocities of the eclipsed star, makes possible to significantly reduce and even eliminate the difference in the wavelength dependences between the observed and theoretical valu…

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

Abubekerov, M. K.; Gostev, N. Yu.

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…