Other
Scientific paper
Jun 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976mnras.175..557t&link_type=abstract
Monthly Notices of the Royal Astronomical Society, vol. 175, June 1976, p. 557-571.
Other
17
Astronomical Models, Dynamic Stability, Rotating Disks, Stellar Structure, Coplanarity, Ellipticity, Harmonic Oscillation, Orbital Mechanics, Rotary Stability, Stellar Models, Vibration Mode
Scientific paper
A method is described for analyzing the stability of the elliptical stellar disks constructed by Freeman (1966) as models of the bars in SB galaxies. Most of the systems are found to be stable to firstand second-harmonic coplanar vibrations, and their stability to other normal modes is examined qualitatively. The most rapidly rotating disks are identical to certain fluid Riemann ellipsoids, and the stability analyses of the stellar and fluid systems are compared. The application of the Ostriker-Peebles (1973) stability criterion to Freeman's systems is also discussed.
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