Results of analysis of galaxy clusters from the standpoint of similarity and dimensional theory

Abstract

Studies of galaxy clusters enable the evolution of the Universe at various stages of its life to be traced. The luminosities, sizes, temperatures, and masses of clusters are measured during their observations. Clusters are bound by gravitation with the universal constant G into a single whole. All these quantities are defined by three units of measurement: mass, length, and time. Therefore, there are two dimensionless parameters in the system usually called similarity parameters. One of them is the virial ratio of the potential and kinetic energies.