Astronomy and Astrophysics – Astronomy
Scientific paper
Aug 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991mnras.251..449g&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 251, Aug. 1, 1991, p. 449-467. Research supported by Un
Astronomy and Astrophysics
Astronomy
21
Galactic Rotation, Perturbation Theory, Stellar Orbits, Hamiltonian Functions, Stellar Motions
Scientific paper
Three Hamiltonian perturbation methods are applied to a perturbed isochrone sphere in order to find useful representations for the orbit structure in galaxy potentials. It is found that axisymmetric galaxy potentials can be treated successfully as perturbed spherical systems for axial ratios at least as flat as 0.6 in density. In these potentials the orbital tori can be constructed by the perturbation theory and a corresponding approximate invariant can be found. The tori are tested by comparing them with numerically integrated orbits and by calculating the component of the Hamiltonian flow normal to them. It is shown that they yield an excellent description of the orbits in the meridional plane of the system, and that the methods are also applicable to orbits with azimuthal motion.
Gerhard Ortwin E.
Saha Prasenjit
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