On construction of phase self-gravitating model of galaxy with definite dimensions

Under consideration is a stationary star system having biaxial distribution of velocities with the ohrt truncation in every point (the truncation rate is lower than the liberation rate). The phase density is represented as a modified Fricke series, and the corresponding spatial density is turned into zero on the equipotential surface which is the boundary of a system. A substitution of the expression for density through a potential into the Poisson equation gives a nonlinear differential equation in partial derivatives for the potential. It has been shown that a solution may be found as a series. An estimation of the series parameter on data for perisolar distribution of star velocities on the basis of the Woolly catalogue shows that in the vicinity of the equatorial boundary of the system, density is proportional to the square of the distance to the boundary