Comparative Analysis of Phenomenological Approximations for the Light Curves of Eclipsing Binary Stars with Additional Parameters

A comparative analysis is made of special profiles of eclipses used for phenomenological modelling of the light curves of eclipsing binary stars. Families of functions which generalize local approximations and functions which are theoretically unlimited in width and based on a Gaussian are examined. The light curve of the classical Algol subtype (β Persei) star V0882 Car=2MASS J11080308-6145589 is used for the analysis. Dozens of modified functions with additional parameters are analyzed and 14 of these are chosen based on the criterion of a minimum sum of the squares of the deviations. The best are functions with an additional parameter which describe a profile that which is limited in phase.