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 $R_{A}=0.845\pm0.09 R_\odot$, $R_{B}=0.795\pm0.10 R_\odot$, effective temperature $T_{\rm eff}^{A} =5300\pm50$\,K, $T_{\rm eff}^{B} =5150\pm50$\,K, surface gravity log $g_{A}=4.52\pm0.10$, log $g_{B}=4.54\pm0.15$ and luminosity $L_A=0.51\pm0.08 L_\odot$, $L_B=0.40\pm0.07L_\odot$. New orbital elements are presented with a semi-major axis of $0.0865 \pm 0.010 $ arcsec using the Hippracos parallax $\pi=58.96\pm0.65$ mas, and an accurate total mass and individual masses of the system are determined as $M=1.72\pm0.60M_\odot$, $M_A=0.89 \pm0.08M_\odot$ and $M_B=0.83 \pm0.07M_\odot$. 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.