First-Approximation, Semianalytical Solutions of Partial Eclipsing Binaries

Astronomy and Astrophysics – Astronomy

Scientific paper

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Stars: Binaries: Eclipsing, Stars: Fundamental Parameters, Techniques: Photometric

Scientific paper

In this paper a simple, semianalytical method is introduced for solving partial eclipsing binaries, using differential observations on two different colors. A matrix formulation of the problem is introduced, and the results are evaluated by comparing them against the synthetic light curves generated by Wilson and Devinney's light curve (LC) computer program. The surface temperatures of the components are also estimated using color curves. Although various proximity effects are neglected in this analytical approach, the procedure may prove useful for a rapid, first-order solution of many detached partial or total eclipsing binaries. These first-order solutions can be improved using detailed numerical calculations such as the LC and differential correction algorithms.

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