Computation of the elements of close eclipsing systems in the frequency-domain

Computer Science – Numerical Analysis

Scientific paper

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Eclipsing Binary Stars, Light Curve, Numerical Analysis, Orbit Calculation, Orbital Elements, Proximity, Atmospheric Attenuation, Stellar Luminosity, Stellar Rotation, Stellar Spectrophotometry

Scientific paper

The aim is to generalize the methods for computing the elements of eclipsing binary systems in the frequency-domain, as summarized by Kopal (1981), to the case of close systems. In these latter systems, photometric proximity effects become conspicuous and must be taken into account before the methods previously outlined become directly applicable. The difficulties previously encountered in separating the photometric proximity and eclipse effects are summarized. An alternative approach is developed to the problem by 'modulation' of the light curves throughout the entire orbital cycle, intended to filter out proximity effects from the observed light changes and isolate those due to eclipses. A numerical application of the new method to an analysis of the observed light changes of the eclipsing system W Ursae Majoris is then presented.

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