Fourier Techniques for an Analysis of Eclipsing Binary Light Curves. III

Details Fourier Techniques for an Analysis of Eclipsing Binary Light Curves. III Fourier Techniques for an Analysis of Eclipsing Binary Light Curves. III

May 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979ap%26ss..62..189d&link_type=abstract

Astrophysics and Space Science, Volume 62, Issue 1, pp.189-201

Astronomy and Astrophysics

Astrophysics

4

Scientific paper

The aim of the present paper will be to present a new approach to the light changes of eclipsing binary systems. The light changes have been expanded into the Fourier-Bessel and Dini series. The coefficients of these expansions which are the Hankel transforms of the order μ of the loss of light (1-l) have been expressed in terms of the eclipse elements. These discrete Hankel transformsH μ(j m ) andH μ(λ m ) valid for only the positive real zerosj m andλ m of the functionsJ λ and [xJ'μ(x)+ϱJ μ(x)] have been generalized for any positive value of μ andy. Thus, these general expressions for the Hankel transforms of the light curves which are valid for all types of eclipses, for any arbitrary degree of the adopted limb-darkening law and, moreover, for any positive value of the free parameters μ andy, may be used for the solution of the elements of eclipsing binary systems.

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