Nonlinear ringing of polytropic disks.

Details Nonlinear ringing of polytropic disks. Nonlinear ringing of polytropic disks.

Oct 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996phyd...97....1b&link_type=abstract

Physica D, Vol. 97, No. 1 - 3, p. 1 - 28

Physics

3

Polytropes: Fluid Spheres

Scientific paper

The authors derive equilibria and axisymmetric normal modes for a rotating polytropic fluid under the influence of both its own gravity and that of a massive halo. By tuning the ratio of the self-gravity to imposed gravity, they find sequences of models that pass through the point of instability. They then construct amplitude equations in Hamiltonian form for the weakly unstable modes. When there are two unstable modes, one recovers the Hénon-Heiles system as a special case. The authors close with a brief exploration of the effects of the many neutrally stable modes in such systems.

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