1. Comparative Analysis of Phenomenological Approximations for the Light Curves of Eclipsing Binary Stars with Additional Parameters
- Author
-
Lidia L. Chinarova, Ivan L. Andronov, and Mariia G. Tkachenko
- Subjects
Physics ,010308 nuclear & particles physics ,Approximations of π ,Gaussian ,Phase (waves) ,Explained sum of squares ,FOS: Physical sciences ,Astronomy and Astrophysics ,Astrophysics ,Star (graph theory) ,Light curve ,01 natural sciences ,symbols.namesake ,H.3.2 ,Astrophysics - Solar and Stellar Astrophysics ,0103 physical sciences ,Binary star ,symbols ,Beta (velocity) ,Statistical physics ,Astrophysics - Instrumentation and Methods for Astrophysics ,85-04, 85-05, 85-08, 85A15 ,Instrumentation and Methods for Astrophysics (astro-ph.IM) ,010303 astronomy & astrophysics ,Solar and Stellar Astrophysics (astro-ph.SR) - 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 (\beta Persei) 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., Comment: 15 pages, 3 figures
- Published
- 2017