Dynamical and secular instability of a homogeneous self-gravitating rotating cylinder

Details Dynamical and secular instability of a homogeneous self-gravitating rotating cylinder Dynamical and secular instability of a homogeneous self-gravitating rotating cylinder

Jan 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988ap%26ss.140..359l&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 140, no. 2, Jan. 1988, p. 359-372.

Statistics

Computation

3

Dynamic Stability, Galactic Rotation, Galactic Structure, Secular Variations, Stellar Oscillations, Angular Velocity, Computational Astrophysics

Scientific paper

The nonaxisymmetric oscillations and stability of a homogeneous self-gravitating rotating cylinder are investigated. Two infinite discrete spectra of rotational modes arise. Dynamical and secular instability occur for wavelengths situated in a certain interval, if omega-squared is greater than (m-1)2m, where omega denotes the angular velocity and m the azimuthal wave number. Modes of maximum instability and maximum growth rates are determined. Viscosity reduces the growth rate of smaller wavelengths but increases the instability of the longer wavelengths. It is shown that the onset of secular instability is associated with a point of neutral oscillation.

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