Periodic orbits in a triaxial galaxy

Details Periodic orbits in a triaxial galaxy Periodic orbits in a triaxial galaxy

Jan 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985a%26a...142..351r&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 142, no. 2, Jan. 1985, p. 351-354.

Statistics

Computation

4

Astronomical Models, Elliptical Galaxies, Galactic Rotation, Harmonic Oscillators, Orbits, Computational Astrophysics, Resonance

Scientific paper

The general properties of perturbed differential autonomous systems are used to investigate and prove the existence of periodic orbits in a non rotating triaxial model elliptical galaxy. Explicitly, the author gives an easy, complete and rigorous inventory of the regular periodic orbits of a three dimensional harmonic oscillator with 1:1:1 resonances perturbed by small linear and quartic terms.

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