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

Astronomy and Astrophysics – Astrophysics

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Astronomical Photometry, Eclipsing Binary Stars, Fourier Analysis, Light Curve, Limb Darkening, Perturbation Theory

Scientific paper

The aim of the present paper is to find the eclipse perturbations, in the frequency- domain, of close eclipsing systems exhibiting partial eclipses. After a brief introduction, in Section 2 we shall deal with the evaluation of the a~ integrals for partial eclipses and give them in terms of ag, ai (of the associated a-functions) and ~ ~ integrals; while Section 3 gives the eclipse perturbations ~ arising from the tidal and rotational distortion of the two components. The ~ are given for uniformly bright discs (h = 1) as well as for linear and quadratic limb-darkening (h = 2 and 3, respectively). Finally, Section 4 gives a brief discussion of the results and the way in which they can be applied to practical cases

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