Statistics – Computation
Scientific paper
Feb 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990mnras.242..447l&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 242, Feb. 1, 1990, p. 447-456.
Statistics
Computation
11
Computational Astrophysics, Dynamic Stability, Gravitational Effects, Rotating Matter, Accretion Disks, Angular Momentum, Angular Velocity, Differential Equations, Perturbation Theory
Scientific paper
The dynamical stability of self-gravitating differentially rotating incompressible cylinders is investigated for three types of rotation law. When the angular velocity decreases outwards, all m = 2 modes exhibit a shear instability due to the presence of a corotation mode. In most cases this instability also occurs for higher-order perturbations. The first point of instability along an equilibrium sequence then belongs to a mode of higher order when a sufficient amount of differential rotation is present. For small differential rotation, this instability occurs near the secular stability point of the uniformly rotating sequence. There exists a second type of instability which is also present for uniform rotation and occurs for large rotational velocities or angular momenta. Differential rotation has only a moderate influence on this instability, in agreement with previous results.
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