Fourier Analysis of the Light Curves of Eclipsing Variables, XIX
Abstract
The aim of the present paper has been to generalize the methods previously developed for analysis of the light changes of eclipsing binary systems in the frequencydomain to cases in which the components of such systems revolve in eccentric orbits. It is shown that these methods can indeed be generalized to systems with eccentric orbits provided that the ‘light moments’A _{ 2m } deduced from such eclipses are suitably redefined in terms of the true, rather than mean, anomaly in the relative orbit; and that due attention is paid to the unit of length in terms of which the fractional radii of the two stars are expressed. When this is done the Fourier methods continue to be applicable to all types of eclipses exhibited by eccentric binary systems — whether these are occultations or transits; total, annular or partial. An application of these methods to practical cases has been postponed for a subsequent communication.
 Publication:

Astrophysics and Space Science
 Pub Date:
 August 1978
 DOI:
 10.1007/BF00639340
 Bibcode:
 1978Ap&SS..57..479K
 Keywords:

 Eclipsing Binary Stars;
 Fourier Analysis;
 Light Curve;
 Variable Stars;
 Celestial Mechanics;
 Eccentric Orbits;
 Stellar Motions;
 Astrophysics