This paper analyzes a compiled catalog of binary galaxies developed by the author and studies the statistical properties of their physical parameters. Additionally, based on observational data and using statistical methods, the relationships between the mass of the central black hole, the velocity dispersion of stars in the bulge, and the total luminosity of binary galaxies are investigated. The derived empirical formulas are of significant importance in understanding galaxy evolution.
M.U. POLATOVA (Tue,) studied this question.