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Jun 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990nyasa.596..120m&link_type=abstract

(Galactic models; Proceedings of the 4th Florida Workshop on Nonlinear Dynamics, Gainesville, FL, Mar. 1, 2, 1989. A91-30826 12-

Mathematics

Logic

Astronomical Models, Galactic Nuclei, Many Body Problem, Elliptical Galaxies, Hamiltonian Functions, Harmonic Oscillators, Predictor-Corrector Methods

Scientific paper

The experimental discovery of an overstability in the central regions of galaxies is briefly discussed, and numerical methods for integrating orbits are briefly addressed. The overstability manifests itself as a growing amplitude in the orbit of a galaxy's nucleus about its mass centroid. This finding may complicate studies of the topological properties of orbits and studies of the bifurcation structure of orbits. A sample problem is used to illustrate the importance of a Liouville theorem in N-body calculations.

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