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Limb-darkening is a fundamental constraint for modeling eclipsing binary andplanetary transit light curves. As observations, for example from Kepler,CoRot, and Most, become more precise then a greater understanding oflimb-darkening is necessary. However, limb-darkening is typically modeled assimple parameterizations fit to plane-parallel model stellar atmospheres thatignores stellar atmospheric extension. In this work, I compute linear,quadratic and four-parameter limb-darkening laws from grids of plane-paralleland spherically-symmetric model stellar atmospheres in a temperature andgravity range representing stars evolving on the Red Giant branch. Thelimb-darkening relations for each geometry are compared and are found to fitplane-parallel models much better than the spherically-symmetric models.Assuming that limb-darkening from spherically-symmetry model atmospheres aremore physically representative of actual stellar limb-darkening thanplane-parallel models then these limb-darkening laws will not fit the limb of astellar disk leading to errors in a light curve fit. This error will increasewith a star's atmospheric extension.

Comparison of limb-darkening laws from plane-parallel and spherically-symmetric model stellar atmospheres