Computation of the elements of eclipsing binaries from a part of their light curve. I - Spherical model

Astronomy and Astrophysics – Astrophysics

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Eclipsing Binary Stars, Light Curve, Orbital Elements, Astronomical Photometry, Domains, Series Expansion, Stellar Luminosity, Stellar Models

Scientific paper

A method for analyzing a part of the light curves of eclipsing binaries in order to determine their elements is presented. The method requires no empirical knowledge of the maximum light or depth of eclipses, and no normalization is necessary. The computation of the elements in the time domain is formulated for the case of two spherical stars revolving around a common center of gravity in a plane so inclined to the line of sight that mutual eclipses are observed. A formulation of the problem in the frequency domain is developed, extending the integral methods recently developed by Kopal (1979) to the analysis of a part of the light curves in the case of spherical model assumptions.

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