Aspects of Optimization of the Transit Light Curve of the Binary System with a Single Minimum by the Eccentricity Components

Abstract

A high-precision algorithm for interpreting transit light curves in the model of an eclipsing classical binary star–exoplanet system for interpretation moving from the eccentricity (\(e\))–periastron longitude (\(\omega \)) variables to the (\(e\cos \omega ,\;{\kern 1pt} e\sin \omega \)) eccentricity components has been improved. The possibilities of interpretation by eccentricity components have been studied. It has been shown that the dependence of the minimum’s shape on \(e\sin \omega \) alone is clearly expressed at small e values and weakens with increasing \(e\). The linear correlation between the radius value, which is characteristic of any e values, has been shown.