Determining Astrophysical Parameters

The analysis of photometric and spectroscopic data of EBs has been performed during the last 35 years by means of synthetic light curves from which parameters such as the mass ratio q, inclination i, and temperature T2, among other quantities, have been derived with the help of algorithms capable of solving nonlinear least-squares problems. The procedures in use differ significantly, depending on the physical model for the shapes of the stars and the method of solving the (nonlinear) least-squares problem. Three methods used to obtain the light curve solution are Differential Corrections [Wilson & Devinney (1971, 1972), Lucy (1973), Napier (1981)]; a derivative-free determination through the use of the Simplex Algorithm [Kallrath & Linnell (1987)]; and Levenberg-Marquardt-type schemes also known as Damped Differential Corrections [Hill (1979), Kallrath et al. (1998)]. The physical parameters derived from the photometric data may depend on the model but should not depend on the least-squares solver.

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