Axisymmetric, stationary collisionless gas clouds trapped in a Newtonian potential

The properties of an axisymmetric, stationary gas cloud surrounding a massive central object are discussed. It is assumed that the gravitational field dominated by which modeled nonrelativistic rotationally-symmetric potential. Further, we assume consists collisionless, identical particles follow bound orbits in this Several models for one-particle distribution function considered and essential formulae describe relevant macroscopical observables, such as particle energy densities, pressure tensor, kinetic temperature derived. asymptotic decay solutions at infinity discussed specify configurations with finite total mass, (zero or non-zero) angular momentum. Finally, our compared to their hydrodynamic analogs. In accompanying paper, equivalent general relativistic problem discussed, where Schwarzschild black hole.