Fourier analysis of the light curves of eclipsing variables. XIII

Details Fourier analysis of the light curves of eclipsing variables. XIII Fourier analysis of the light curves of eclipsing variables. XIII

Nov 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977ap%26ss..52..189d&link_type=abstract

Astrophysics and Space Science, vol. 52, no. 1, Nov. 1977, p. 189-199.

Mathematics

8

Eclipsing Binary Stars, Fourier Analysis, Light Curve, Variable Stars, Hankel Functions, Transformations (Mathematics)

Scientific paper

Expressions for the fractional light loss due to mutual eclipses of the components of close binary systems are derived in a general form in terms of known associated series which are easily programmable and converge rapidly to the desired results for any type of eclipse. The series include those of Chebyshev polynomials, Jacobi polynomials, shifted Chebyshev and Jacobi polynomials, as well as Kopal's (1947) J-integrals. A specific example illustrating the effectiveness of one of the expressions obtained is provided, and applications to occultation-type, partial, and annular eclipses are briefly noted.

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