Fourier analysis of light curves of eclipsing variable stars. III - Photometric perturbations for partial eclipses

Astronomy and Astrophysics – Astrophysics

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Astronomical Photometry, Eclipsing Binary Stars, Fourier Analysis, Light Curve, Variable Stars, Eclipses, Hypergeometric Functions, Limb Darkening, Perturbation Theory, Stellar Rotation, Tides

Scientific paper

The photometric perturbations ~ arising from both tidal and rotational distortion of a close eclipsing binary have been given in two previous papers (Livaniou, 1977; Rovithis-Livaniou, 1977). The aim of the present paper will be to find the eclipse perturbations 9t32m ~32m,t1d + ~32m,rot of a close binary exhibiting partial eclipses. This will be done giving the suitable combina- tions of the ~3~'s and will make easier the application to real stars. After a very brief introduction, Section 2 gives both the ~32m,t1d and c132m,rot for uniformly bright discs; while in Sections 3 and 4 they are given for linear and quadratic limb-darkening, respectively. Finally, Section 5 gives a brief discussion of the results

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