Fourier techniques for an analysis of eclipsing binary light curves. I

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Eclipsing Binary Stars, Fourier Analysis, Frequency Response, Light Curve, Convergence, Fourier Series, Series Expansion, Stellar Spectrophotometry

Scientific paper

The cited Fourier techniques are reviewed, and the Fourier coefficients for the analysis are derived, in terms of eclipse elements, in a simple form of series expansions valid for any type of eclipse. A general relation between observed quantities and eclipse elements is obtained in the form of series expansions that can be used for light-curve synthesis. Some properties of the quantities B2m inherent in the frequency-domain approach are then deduced, and a general expression for these quantities in terms of the eclipse elements of a basic model is presented. An expansion into a Fourier sine series is introduced for the loss of light, the Fourier coefficients are given in terms of the same eclipse elements, and a method for increasing the series convergence rate is outlined.

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