On the Steady States of a Gravitating Gas Disk

Resumo

A three-dimensional gas dynamic model of a gravitating proto-planet disk rotating around the gravitating center is investigated. The numerical algorithm for finding the steady flows in the disk, which uses a solution of the system of nonlinear equations, is built. The density, mass and gravitational potential increase several times in comparison with the model that does not consider gravity of the disk. The Toomre parameter, which determines the stability of the steady-state solution, is calculated.