Statistics – Computation
Scientific paper
Jun 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986mnras.220..869j&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 220, June 15, 1986, p. 869-881. Research supported by P
Statistics
Computation
6
Accretion Disks, Dynamic Stability, Ideal Fluids, Polytropic Processes, Toruses, Vibration Mode, Angular Momentum, Computational Astrophysics, Entropy, Gravitational Fields, Stellar Oscillations, Thickness
Scientific paper
The nonaxisymmetric oscillations of polytropic ideal-fluid tori rotating in the external gravitational field of a point mass are investigated both numerically and analytically. Normal modes of oscillations are found; their classification into 'radial', 'p', 'g', and 'f' modes is done by analogy to the stellar case. The nondiscrete spectrum of modes which are neutral in the limit of axisymmetric perturbations is also present. All the tori with not too big gradients of specific angular momentum and with constant specific entropy are unstable for perturbations with small azimuthal wavenumber. All the tori investigated numerically (with different thickness and angular-momentum distribution but with constant specific entropy) show some instability for high enough azimuthal wavenumber, depending on the model parameters.
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