Fourier analysis of the light curves of eclipsing variables. XVIII

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Eclipsing Binary Stars, Fourier Analysis, Light Curve, Stellar Spectrophotometry, Variable Stars, Computer Programs, Perturbation Theory, Recursive Functions

Scientific paper

Explicit expressions are established for the 'photometric perturbations' in the light changes of close eclipsing binary systems, which arise from the mutual distortion of the components, for any type of eclipse. Recursive formulas are given which make it possible to express the associated alpha functions in terms of the basic set of zeroand first-order alpha functions. All requisite integrals of the appropriate form, which constitute the 'boundary corrections' to the light curves, are expressed in a similar way, and all the expressions are used to evaluate the respective terms of the photometric perturbations for any type of eclipse. The photometric perturbations are expressed in terms of certain general types of series that can be easily programmed for automatic computation.

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