Physical and Geometrical Parameters of CVBS X: The Spectroscopic Binary Gliese 762.1

Abstract

We present the physical and geometrical parameters of the individual components of the close visual double-lined spectroscopic binary system Gliese 762.1, which were estimated using Al-Wardat's complex method for analyzing close visual binary systems. The estimated parameters of the individual components of the system are as follows: radius $R_A=0.845\pm 0.09R_{\odot }$, $R_B=0.795\pm 0.10R_{\odot }$, effective temperature $T_{\mathrm{eff}}^A=5300\pm 50$\,K, $T_{\mathrm{eff}}^B=5150\pm 50$\,K, surface gravity log $g_A=4.52\pm 0.10$, log $g_B=4.54\pm 0.15$ and luminosity $L_A=0.51\pm 0.08L_{\odot }$, $L_B=0.40\pm 0.07L_{\odot }$. New orbital elements are presented with a semi-major axis of $0.0865\pm 0.010$ arcsec using the Hippracos parallax $\pi =58.96\pm 0.65$ mas, and an accurate total mass and individual masses of the system are determined as $M=1.72\pm 0.60M_{\odot }$, $M_A=0.89\pm 0.08M_{\odot }$ and $M_B=0.83\pm 0.07M_{\odot }$. Finally, the spectral types and luminosity classes of both components are assigned as K0V and K1.5V for the primary and secondary components respectively, and their positions on the H-R diagram and evolutionary tracks are given.

14 pages, 6 Figures, 8 Tables