Oscillations of slender tori

Details Oscillations of slender tori Oscillations of slender tori

Oct 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985mnras.216..553b&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 216, Oct. 1, 1985, p. 553-563.

Astronomy and Astrophysics

Astronomy

60

Astronomical Models, Corotation, Dynamic Stability, Oscillations, Perturbation Theory, Toruses, Analytic Functions, Eigenvalues, Polytropic Processes, Rotating Bodies, Vibration Mode

Scientific paper

The author presents a complete analytic normal mode solution for the linear perturbations of an infinitely slender, polytropic, non-self-gravitating torus rotating with constant specific angular momentum. He then examines more realistic thick tori by perturbing the analytic solution. All the instabilities are found to arise from the infinitely slender corotation modes and are symmetric with respect to the equatorial plane. In addition, exactly one unstable mode exists for every value of the azimuthal wavenumber m.

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