Determinacy of the eclipse elements from a part of the light curves of eclipsing binaries

Details Determinacy of the eclipse elements from a part of the light curves of eclipsing binaries Determinacy of the eclipse elements from a part of the light curves of eclipsing binaries

Jun 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986ap%26ss.123..305d&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 123, no. 2, June 1986, p. 305-312.

Astronomy and Astrophysics

Astrophysics

Eclipsing Binary Stars, Light Curve, Astronomical Photometry, Minima

Scientific paper

A part of the light curves of two detached (CD Tau and V909 Cyg) and one semi-detached (Algol) binaries have been analyzed with the emphasis on the determinacy of the parameters of different systems from a part of their eclipse curves. A model light curve for which r(1) = 0.050, r(2) = 0.150, i = 90 deg, and L(1) = 0.800 were chosen, has also been considered for a further clarification of the determinacy problem of the eclipse parameters. Some insight into the determinacy is gained by varying one parameter and adjusting the others for the best fit to the light curves in the considered eclipse phases. It was realized that the determinacy problem of the unknown parameters is stored in the determinacy of the type of the eclipse minima. The attempts of the solutions with a false choice of initial elements result in finding (1) no minimum of chi-squared to give any acceptable solution, (2) rapid departure from the false start and convergence on the correct solution, or (3) a false solution mostly with a true inclination i, but wrong sense of the ratio of the radii.

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