The stability of differentially rotating self-gravitating gas clouds. II - Polytropic configurations

Statistics – Computation

Scientific paper

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Interstellar Gas, Molecular Clouds, Polytropic Processes, Rotary Stability, Rotating Fluids, Star Formation, Approximation, Computational Astrophysics, Equations Of State, Perturbation Theory

Scientific paper

The stability of differentially rotating gas clouds with polytropic equations of state is investigated. The equilibrium states are self-consistent. The structure of the infinitely extended configurations is very simple. Perpendicular to the rotation axis, the density distribution and the differential rotational velocity are described by power laws. In the limit of vanishing rotation the authors obtain the familiar polytropic gas spheres. Only marginal axisymmetric perturbations are considered. The structure of the equilibrium states and the form of the perturbations are both calculated with the approximation method presented in paper I.

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