Astronomy and Astrophysics – Astrophysics
Scientific paper
Oct 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990apj...361..394t&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 361, Oct. 1, 1990, p. 394-407. Research supported by USAF.
Astronomy and Astrophysics
Astrophysics
54
Accretion Disks, Galactic Evolution, Galactic Structure, Star Formation, Angular Velocity, Self Consistent Fields
Scientific paper
The onset of the breakup of gravitationally driven instabilities in fully self-gravitating rings and tori is identified, and their nonlinear development is followed using Hachisu's (1986) self-consistent field technique to construct equilibrium sequences of self-gravitating axisymmetric rings or tori having n = 3/2 polytropic structures. Then, using a three-dimensional hydrodynamic computer code, the position along the equilibrium sequences where the rings first become dynamically unstable toward the development of an m = 2 (ellipsoidal) nonaxisymmetric distortion is determined. It is found that the onset of a dynamic instability in self-gravitating rings or tori occurs when the value of the ratio between the rotational kinetic energy and the gravitational potential energy is substantially lower than the value at which an analogous instability arises in centrally condensed self-gravitating configurations. The growth rate and the pattern speed of the m = 2 mode were quantitatively measured.
Hachisu Izumi
Tohline Joel E.
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