The eclipses of starspots

Statistics – Computation

Scientific paper

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Astronomical Photometry, Eclipsing Binary Stars, Light Curve, Starspots, Stellar Luminosity, Variable Stars, Computational Astrophysics, Cool Stars, Elliptic Functions, Spectrum Analysis, Stellar Activity

Scientific paper

Formulas are set out from which the light loss may be derived in a close binary system in which a component affected by a 'starspot', of the type considered previously (Budding, 1977) is also in eclipse, in such a way that the starspot itself is undergoing eclipse. In this way the hitherto postponed problem of the combination of eclipse and maculation effects (which are sometimes believed to be present, e.g., in RS CVn-stars) is treated, and shown to be reducible to expressions involving algebraic or elliptic integrals. A more practical approach using a 'small-spot approximation' is given, and demonstrated on an example. Such an approach should be easy to manage by computer, and is expected to find a ready application in the analysis of 'active' cool, close binaries.

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