The dynamical stability of differentially rotating discs. III

Details The dynamical stability of differentially rotating discs. III The dynamical stability of differentially rotating discs. III

Mar 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987mnras.225..267p&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 225, March 15, 1987, p. 267-283.

Astronomy and Astrophysics

Astronomy

87

Dynamic Stability, Rotating Disks, Angular Momentum, Corotation, Toruses, Wentzel-Kramer-Brillouin Method

Scientific paper

The numerical calculations of Papaloizou and Pringle (1984) are extended to tori with nonconstant angular momentum, extending the range of differentially rotating tori known to be unstable. Two independent numerical methods agree on the stability borderline around q = 3 exp 1/2 previously derived for low-m modes and slender tori, and indicate its validity for large tori. A Wentzel-Kramers-Brillouin approximation is used to investigate modes of high azimuthal wavenumber in an infinite cylindrical torus, confirming the finding of Broadbent and Moore (1979) that radiation losses always act to destabilize modes, though it is noted that the effects rising from the corotation resonance are more important in most cases.

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