Astronomy and Astrophysics – Astrophysics
Scientific paper
Jul 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978ap%26ss..56..389d&link_type=abstract
Astrophysics and Space Science, vol. 56, no. 2, July 1978, p. 389-401.
Astronomy and Astrophysics
Astrophysics
14
Eclipses, Fourier Analysis, Light Curve, Variable Stars, Limb Darkening, Stellar Occultation
Scientific paper
A general expression for the theoretical moments of the light curves of eclipsing systems is presented in the form of an infinite series expansion in which the terms are given as the product of two different polynomials that satisfy certain three-term recursion formulas and the coefficients diminish rapidly with an increasing number of terms. Closed-form expressions for some auxiliary functions are also derived to facilitate calculations, and slightly modified practical methods are considered by which an analysis of either minimum alone can be performed in the frequency domain for the solution of eclipse elements of eclipsing systems consisting of spherical stars. Numerical examples of solutions for eclipse elements from one minimum alone are illustrated by applications to the eclipsing binary system YZ Cas carried out under spherical model assumptions.
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