Statistics – Computation
Scientific paper
Mar 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990mnras.243..282p&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 243, March 15, 1990, p. 282-288.
Statistics
Computation
7
Astronomical Models, Computational Astrophysics, Galactic Structure, Systems Stability, Angular Momentum, Distribution Functions, Orbital Mechanics, Perturbation Theory
Scientific paper
This paper proves the existence of instability in axisymmetric system for which the distribution function strongly favors orbits with low angular momentum about the symmetry axis. The analysis is first applied to Staeckel systems, but is then generalized to nonintegrable potentials. It is proven that unstable spherical systems with distribution functions which behave like generalized polytropes at small angular momentum must end up being triaxial. Numerical simulations are presented, that demonstrate the existence of oblate and prolate equilibria resulting from unstable spherical systems. It is further demonstrated that these axisymmetric equilibria are themselves unstable to nonaxisymmetric perturbations. Results indicate that, for the two axisymmetric equilibria associated with a given unstable spherical model, there may be only one stable triaxial configuration which they evolve to.
Allen Anthony J.
Palmer P. L.
Papaloizou John
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