Astronomy and Astrophysics – Astrophysics
Scientific paper
Jul 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979aj.....84..979s&link_type=abstract
Astronomical Journal, vol. 84, July 1979, p. 979-984.
Astronomy and Astrophysics
Astrophysics
6
Astrophysics, Disk Galaxies, Rotating Disks, Stellar Rotation, Systems Stability, Astronomical Models, Asymptotic Methods, Centrifugal Force, Eigenvectors, Rotating Fluids, Spiral Galaxies
Scientific paper
The normal-mode analysis of Hunter (1963) for a uniformly rotating disk is extended to include effects of an arbitrary amount of internal pressure. Attention is given to axisymmetric modes, distortion modes, and general nonaxisymmetric modes. The possibility is considered of extending conventional asymptotic analysis to yield greater coverage of the general set of normal modes and to improve the numerical accuracy of the approximation for compressional modes. The unstable regimes of a uniformly rotating gas disk are characterized, and it is shown that the stabilizing influence of (uniform) rotation vanishes for nonaxisymmetric disturbances of sufficiently short scale. The results suggest that an extended asymptotic analysis may well give quite reliable results for compressional modes (i.e., spiral density waves in differentially rotating disks).
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