Astronomy and Astrophysics – Astrophysics
Scientific paper
Feb 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980a%26a....82..177w&link_type=abstract
Astronomy and Astrophysics, vol. 82, no. 1-2, Feb. 1980, p. 177-182.
Astronomy and Astrophysics
Astrophysics
11
Disk Galaxies, Dynamic Stability, Rotating Disks, Spheroids, Stellar Models, Stellar Rotation, Stellar Systems, Tensor Analysis, Chandrasekhar Equation, Distribution Functions, Equations Of Motion
Scientific paper
An investigation is presented of the infinitesimal modes of oscillation of homogeneous spheroidal stellar systems with anisotropic velocity dispersion, applying modifications of the classical tensor methods. The pulsational and transverse shear modes are stable for all axial ratios of the spheroid if the systems can be described by a Schwarzschild distribution, but the toroidal modes lead to global secular and dynamical instabilities if the velocity dispersion in the plane perpendicular to the axis of rotation is lower than a certain critical value. Applying the theoretical results to a model of the galactic disk, it was found that the velocity dispersion required to stabilize this component is much larger than that actually observed, so that the galaxy should be unstable to toroidal modes of oscillation.
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