Statistics – Computation
Scientific paper
Sep 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989apj...344..645p&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 344, Sept. 15, 1989, p. 645-668. Research supported by NATO.
Statistics
Computation
52
Accretion Disks, Computational Astrophysics, Galactic Evolution, Gravitational Effects, Planetary Rings, Protostars, Astronomical Models, Flow Stability, Pre-Main Sequence Stars, Stellar Mass Accretion, Variational Principles, Planets, Stability, Rings, Gravity Effects, Structure, Evolution, Oscillations, Perturbations, Models, Theoretical Studies, Resonance, Hydrodynamics, Calculations, Corotation, Numerical Methods, Density
Scientific paper
The stability of geometrically thin self-gravitating rings and disks is studied by computing the eigenvalues and eigenfunctions of linearized normal mode oscillations in these systems. For the vertically averaged incompressible models and models of gaseous and stellar disks with softened gravity, analytic treatment is possible. The existence of oscillatory normal modes is established using a variational principle and infer instability using perturbation theory. Effects due to the Lindblad and corotation resonances are analyzed in detail. The distribution of the ratio of vorticity to surface density is important for determining the stability of the systems.
Lin Doug N. C.
Papaloizou John C. B.
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