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

Abstract

A comparative analysis of the special shapes (patterns, profiles) of the eclipses applied for the phenomenological modeling of the light curves of eclipsing binary stars is conducted. Families of functions are considered, generalizing local approximations (Andronov, 2010, 2012) and the functions theoretically unlimited in a width, based on a Gaussian (Mikulasek, 2015). For an analysis, the light curve of the star V0882 Car = 2MASS J11080308 - 6145589 of the classic Algol - subtype (βPersei) is used. By analyzing dozens of modified functions with additional parameters, it was chosen the 14 best ones according to the criterion of the least sum of squares of deviations. The best are the functions with an additional parameter, describing profiles, which are limited in phase.

arXiv comment15 pages, 3 figures

References in corpus (4)

• Solutions for 10,000 Eclipsing Binaries in the Bulge Fields of OGLE II Using DEBiL
• Phenomenological modelling of eclipsing system light curves
• Phenomenological Modeling of the Light Curves of Algol-Type Eclipsing Binary Stars
• Swift J201424.9+152930: discovery of a new deeply eclipsing binary with 491 s and 3.4 h modulations

Cited by in corpus (3)

• MAVKA: Program Of Statistically Optimal Determination Of Phenomenological Parameters Of Extrema. Parabolic Spline Algorithm and Analysis of Variability of the Semi-Regular Star Z UMa
• Mathematical Modelling of Astrophysical Objects and Processes
• Determination of Light Curve Parameters of Poorly Studied Eclipsing Variables Using Data from Tess and Other Sky Surveys