Fourier analysis of the light curves of eclipsing variable stars. I - Photometric perturbations for total and transit eclipses

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Photometry, Eclipsing Binary Stars, Fourier Analysis, Light Curve, Variable Stars, Frequency Response, Limb Darkening, Perturbation Theory, Stellar Occultation, Stellar Rotation

Scientific paper

The present paper establishes the explicit forms of the photometric perturbations in the frequency-domain of close binaries whose components are distorted by axial rotation and mutual tidal action. The light changes and the photometric perturbations within eclipses in the frequency-domain are described. The explicit forms of the perturbations for occultation eclipses terminating in totality are given, and analogous results are established for transit eclipses terminating in annular phases. In this latter case the results can be expressed in terms of the photometric perturbations for total eclipses and in terms of some series. To facilitate applications to actual stars these series have been computed, and the results are discussed.

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