Some properties of an intrinsically degenerate Hamiltonian system

Details Some properties of an intrinsically degenerate Hamiltonian system Some properties of an intrinsically degenerate Hamiltonian system

Jun 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989japa...10..197c&link_type=abstract

Journal of Astrophysics and Astronomy (ISSN 0250-6335), vol. 10, June 1989, p. 197-202.

Astronomy and Astrophysics

Astrophysics

9

Elliptical Galaxies, Hamiltonian Functions, Stellar Motions, Two Dimensional Models, Equations Of Motion, Numerical Integration, Perturbation Theory

Scientific paper

Using theoretical arguments, some properties of a time-independent two-dimensional Hamiltonian system are studied in the 1:1 resonance case. In particular the frequency of the oscillation near the elliptic points, the ratio of the semiaxes of the ellipses surrounding them, and the inclination angle of the asymptotes of the hyperbolic orbits in the original variables x-p(x) are obtained. The results are in satisfactory agreement with those given by numerical integration of the equations of motion. Some possible applications for the motion of stars in elliptical galaxies are also discussed.

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