Periodic orbits in a triaxial galaxy. III - Their stability

Details Periodic orbits in a triaxial galaxy. III - Their stability Periodic orbits in a triaxial galaxy. III - Their stability

Aug 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987a%26a...182..202r&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 182, no. 2, Aug. 1987, p. 202-206.

Statistics

Computation

5

Computational Astrophysics, Dynamic Stability, Galactic Rotation, Galactic Structure, Orbital Elements, Periodic Variations, Orbit Perturbation, Spin Resonance, Variational Principles

Scientific paper

In the present treatment of periodic orbit stability in three-dimensional dynamical systems representing the inner part of a triaxial galaxy, attention is given to the near-spherical systems of prolate or oblate galaxies. The stability of the periodic orbits described in Robe (1985, 1986) is investigated on the basis of the analytical and rigorous perturbation method of Hale (1983) for determining the characteristic exponents of associated variational equations. In the case of the 1:1:1 resonance, the present results agree exactly with those of de Zeeuw (1985).

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