Global stability of self-similar Newtonian gaseous disks against axisymmetric perturbations

Lemos, José P.S.; Kalnajs, Agris J.; Lynden-Bell, Donald

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Global stability of self-similar Newtonian gaseous disks against axisymmetric perturbations

Date

1991-07-10

Authors

Lemos, José P.S.

Kalnajs, Agris J.

Lynden-Bell, Donald

Abstract

Solutions for self-gravitating disks in equilibrium with velocity law given by ν ∝ R-β are found. These disks are self-similar if they are of infinite extent. So, the intrinsic properties of these disks at one radius are scaled versions of the properties at any other radius. Global and local stability criteria are given and compared. The breathing mode is also analyzed.