Automated Analysis of the Radial Velocity Curves of Close Binary Stars Even with Proximity Effects: U Peg, AB And and BD+422782

Abstract

In this research, a new algorithm is proposed to automatically extract the effective parameters on the radial velocity curves of the binary stars systems using the Wilson-Devnney (WD) 2007 code. In this regard, a binary star which has the proximity effect and its parameters are also announced by astronomers, is selected as the sample system. To avoid scattering of data and also to have more data point, the radial velocity curve of the sample binary stars is first made using the WD code. Then, the code output data is introduced to the proposed MATLAB algorithm to find the effective parameters on the radial velocity curve, including the eccentricity e, the product of a semi-major axis and orbital inclination asini, center of mass radial velocity VCM, the longitude of periastron ω, And surface parameters of stars such as surface potentials Ω, temperatures T, albude A, gravitational darkening coefficients g, and limb darkening coefficients x. After testing the algorithm on the sample binary stars system, the proposed algorithm is also exploited to analyze the radial velocity data of some other binary stars such as U Peg, AB And, and BD+422782. Comparison between the results obtained from the proposed approach and the results reported by other astronomers demonstrates the ability of the proposed approach in extracting the parameters effective on the radial velocity curves.

Keywords

• proximity effects
• eclipsing binary stars
• wilson - devinney program
• radial velocities
• data analysis techniques