Computation of the elements of eclipsing binary systems in the frequency-domain

Computer Science – Numerical Analysis

Scientific paper

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Eclipsing Binary Stars, Error Analysis, Fourier Analysis, Light Curve, Orbital Elements, Variable Stars, Computer Techniques, Eccentric Orbits, Least Squares Method, Numerical Analysis

Scientific paper

Parts of the Fourier analysis concerning the light changes of eclipsing spherical variable stars are translated into more practical terms, and numerical examples are used to illustrate procedures which yield both maximum accuracy and minimum information loss through fully automated processing. After determining the numerical values of the moments A(2m) of the light curves, which form the basis for all subsequent work, the algebraization of the process of determination of the elements for the case of annular eclipses and for partial eclipses is described. The study concludes with an error analysis of the problem and an outline of the way in which the errors of the individual observations will compound the uncertainty of final results.

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