Analysis of contact binary systems - AA Ursae Majoris, V752 Centauri, AO Camelopardalis, and V 677 Centauri

Statistics – Methodology

Scientific paper

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Binary Stars, Statistical Analysis, Stellar Spectrophotometry, Eclipsing Binary Stars, Light Curve, Radial Velocity

Scientific paper

In this paper we present a methodology for the solution of binary systems that allows the simultaneous use of all the available information. We give a statistical criterion to judge about the quality of the results. This methodology, based mainly on the Wilson-Prince procedure devised by our group for the solution of binary systems, has here been applied to the analysis of four W UMa binaries for which existing solutions were, for different reasons, unsatisfactory. We show the cases for which more observational data are necessary or those for which a better analysis would be sufficient to give final answers. The new solutions found for the four systems fit well with the data, overcome the discrepancies among results and observations found by previous investigators, and confirm that these systems belong to the W-type category. Finally, a working hypothesis on a possible new correlation that might link Delta T, q, and the filling factor F of W UMa systems is shown, extending that suggested by Sarna and Fedorova in 1988.

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