Statistics – Computation
Scientific paper
Dec 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991apj...383..498v&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 383, Dec. 20, 1991, p. 498-510.
Statistics
Computation
8
Computational Astrophysics, Galactic Rotation, Galaxies, Interstellar Gas, Oscillations, Systems Stability, Eccentricity, Equilibrium Equations, Galactic Structure, Gravitational Effects, Interstellar Matter, Perturbation Theory
Scientific paper
The effects of interstellar gas on the oscillations and the stability of galaxies are illustrated for modes of oscillation in homogeneous spheroids composed of uniformly rotating subsystems of stars and gas. It is shown for these systems that the critical value of the ratio of rotational to gravitational energy for the onset of instability with respect to the formation of a bar is a function of the eccentricity of the spheroidal figure, the fraction of the system that is gas, and the ratio of the angular velocities of the stellar and gaseous subsystems. It is also shown that slowly rotating systems of this kind are dynamically unstable with respect to a pulsation mode if the ratio of specific heats of the gas is less than a determinate critical value which depends on the eccentricity of the figure, the fraction of the system that is gas, and the ratio of the angular velocities of the two subsystems.
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