Astronomy and Astrophysics – Astrophysics
Scientific paper
Jul 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988a%26a...200..127s&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 200, no. 1-2, July 1988, p. 127-134. Research supported by DFG.
Astronomy and Astrophysics
Astrophysics
5
Equilibrium Equations, Gravitational Effects, Interstellar Gas, Rotating Fluids, Star Formation, Angular Velocity, Molecular Clouds, Polar Coordinates, Stellar Rotation, Stellar Structure
Scientific paper
Solutions of the equilibrium equations of self-gravitating differentially rotating gases with axial symmetry are presented. The procedure is used to calculate a family of differentially rotating polytropes with infinite central density and a polytropic index 3 < n < ∞, -∞ < n < -1. A continuous parameter of the solutions is the ratio β of the rotational velocity to the polytropic sound velocity in the mid-plane of the configurations. In the limit β → 0 the polytropic gas spheres with infinite central density are obtained, in the limit β → ∞ thin polytropic disks. Another family of solutions which is given, is specified by the assumption of a constant ratio β of the rotational velocity to the isothermal sound velocity all over the space. In the special case β2 = 2, the solutions are presented in closed form.
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