Fourier analysis of the light curves of eclipsing variables. XIV

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Eclipsing Binary Stars, Fourier Analysis, Light Curve, Variable Stars, Astronomical Photometry, Error Analysis, Limb Darkening, Spheres

Scientific paper

The results obtained in preceding papers are used to develop practical procedures for obtaining the elements of any eclipsing system from the observed photometric data by their analysis in the frequency domain for any type of eclipse, any proximity of the two components, and any degree of the law of limb darkening of the eclipsed star. Procedures are developed which should permit such an analysis to be performed - by hand or automatic machine computation - for the case of mutual eclipses in binary systems, the components of which can be regarded as spheres and whose apparent disks are characterized by an arbitrary radially symmetric distribution of surface brightness. These procedures are generalized to systems consisting of arbitrarily distorted stars.

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