An upper limit to the growth rate of instabilities in constant specific angular momentum tori

Details An upper limit to the growth rate of instabilities in constant specific angular momentum tori An upper limit to the growth rate of instabilities in constant specific angular momentum tori

Feb 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985mnras.212p..37b&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 212, Feb. 1, 1985, p. 37P-40P.

Statistics

Computation

24

Angular Momentum, Computational Astrophysics, Gravitation, Vibration Mode, Toruses

Scientific paper

The author derives an exact upper limit for the growth rate of any unstable mode of a polytropic, non-self-gravitating torus rotating with constant specific angular momentum. He also derives a lower limit for the ratio of real to imaginary parts of the complex frequency of the mode. These results depend only on the slenderness of the torus and the azimuthal wavenumber m of the mode.

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