Tumbling endstates for unstable rotating spheres - Implications for rotation in elliptical galaxies

Details Tumbling endstates for unstable rotating spheres - Implications for rotation in elliptical galaxies Tumbling endstates for unstable rotating spheres - Implications for rotation in elliptical galaxies

Nov 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991mnras.253..129p&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 253, Nov. 1, 1991, p. 129-146.

Statistics

Computation

7

Computational Astrophysics, Elliptical Galaxies, Galactic Rotation, Rotating Spheres, Angular Momentum, Counter Rotation, Many Body Problem, Mathematical Models, Perturbation Theory

Scientific paper

Hundred-thousand-particle numerical simulations for the evolution of unstable radially anisotropic spherical systems which have a modest net rotation about the z axis are presented. Long-lived transient behavior, lasting for several hundred crossing times, was exhibited by systems with weak nonaxisymmetric instability, such as those with weaker rotation and those with counter-streaming subsystems. A linear normal mode analysis for a general rotating spherical system is presented. It is shown that models of the type under consideration can have a new set of nonaxisymmetric overstabilities not associated solely with radial orbits. Simulations of models with identifiable dynamical subsystems, such as counter-rotating cores, exhibit separate spectra of normal modes, expected from the normal mode analysis, for each subsystem which can then interact. A simple model for the slowdown in the pattern speed is presented for the tumbling bar due to transport of the angular momentum on a long time-scale by dynamical friction. These results are directly applicable to the shapes of rotating elliptical galaxies.

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