Astronomy and Astrophysics – Astrophysics
Scientific paper
Dec 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978ap%26ss..59..333e&link_type=abstract
Astrophysics and Space Science, vol. 59, no. 2, Dec. 1978, p. 333-345.
Astronomy and Astrophysics
Astrophysics
3
Eclipsing Binary Stars, Fourier Analysis, Hypergeometric Functions, Light Curve, Variable Stars, Computer Techniques, Frequency Distribution, Moments, Orbital Elements, Stellar Atmospheres
Scientific paper
Explicit expressions for the Jacobian used in Fourier analysis of the light curves of eclipsing variables in the frequency domain are derived from the partial derivative of different pairs of g-functions with respect to two fundamental parameters. A general expansion for the Jacobian is presented, and a partial derivative with respect to the two fundamental parameters is obtained from f-functions. Closed-form expressions for some auxiliary functions are also obtained to facilitate computation of the Jacobian. The necessary functions for analysis of the Jacobian and the Jacobian itself are given for a gray plane-parallel stellar atmosphere. Numerical values of the theoretical Jacobian are compared with values derived empirically from a closed-form expression for the moments for total eclipses, and agreement to three significant figures is indicated.
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