STUDIES OF EQUILIBRIUM-CONFIGURATIONS FOR A GASEOUS CLOUD NEAR A GRAVITATING CENTER

A hydrodynamic model for an ideal polytropic gas rotating around a gra vitating center is considered. Various stationary cylindrically symmet ric analytical solutions are obtained, describing possible configurati ons of the material. The possibility of constructing solutions describ ing disk-like configurations of material in any shape is demonstrated. A method for use of the three-dimensional stationary solutions obtain ed as input data for numerical modeling of accretion disk processes in the two-dimensional approximation is proposed. Numerical calculations supporting the results of the theoretical studies are presented.