Light variations of spotted stars in case of arbitrary limb-darkening law

Statistics – Computation

Scientific paper

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Astronomical Photometry, Limb Darkening, Starspots, Variable Stars, Brightness Distribution, Computational Astrophysics, Stellar Rotation, Stellar Structure

Scientific paper

Analytic expressions describing the light variations of spotted stars in the case of an arbitrary limb-darkening law are obtained within the framework of the direct photometric problem. The expressions may be used as a basis for the exact solution of the inverse photometric problem for arbitrary types of rotating stars characterized by surface spots. Such an approach has been followed for the linear limb-darkening law by Kjurchieva (1987), who indicated its advantages over numerical modelings.

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