Astronomy and Astrophysics – Astrophysics
Scientific paper
May 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978apj...222..110z&link_type=abstract
Astrophysical Journal, Part 1, vol. 222, May 15, 1978, p. 110-124.
Astronomy and Astrophysics
Astrophysics
4
Galactic Structure, Oscillations, Vibration Mode, Distribution Functions, Perturbation Theory, Plane Waves, Rotating Disks, Steady State
Scientific paper
Equations describing long wavelength radial modes of oscillation for stellar disks are derived. The approach is applied to determine the density response of a cool stellar disk to radial potential perturbations and is exact for disks with zero velocity dispersion. The formulation may be applied to finite or infinite disks of arbitrary structure, so long as the length scale of the perturbation is larger than the epicyclic amplitude. Three functions - the unperturbed surface density, the epicyclic frequency, and the radial velocity dispersion - are involved in the expression of the equilibrium structure. The effects of differential rotation, halos, and velocity dispersion on axisymmetric stability are studied for some disk models.
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