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Fourier analysis of the light curves of eclipsing variable stars

Authors:	H Rovithis-Livaniou

Institution:	(1) Astronomy Dept, Athens University, Athens, Greece

Abstract:	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 thea _n ^(l) integrals for partial eclipses and give them in terms ofa ₀ ⁰ ,a ₀ ⁰ (of the associated -functions) and $\mathfrak{J}_{ \pm 1,n}^0$ integrals; while Section 3 gives the eclipse perturbations $\mathfrak{B}_h^{(l)}$ arising from the tidal and rotational distortion of the two components. The $\mathfrak{B}_h^{(l)}$ 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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