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Simple Periodic Orbits in Elliptical Galaxies Modelled by Hamiltonians in 1-1-1 Resonance

Published online by Cambridge University Press:  12 April 2016

J. Palacián ,
P. Yanguas  and
S. Ferrer
J. Palacián
Affiliation:
Dpto. de Matemática e Informática, Universidad Pública de Navarra, 31006 Pamplona, Spain
P. Yanguas
Affiliation:
Dpto. de Matemática e Informática, Universidad Pública de Navarra, 31006 Pamplona, Spain
S. Ferrer
Affiliation:
Dpto. de Matemática Aplicada, Universidad de Murcia, 30071 Murcia, Spain

Abstract

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We consider elliptical galactic models, whose dynamical system consists of a three-dimensional isotropic harmonic oscillator plus a potential given by a homogeneous polynomial of degree four with an additional discrete symmetry. We identify families of simple periodic orbits by studying the reduced phase space.

Type
Extended Abstracts
Information
International Astronomical Union Colloquium , Volume 172: Impact of Modern Dynamics in Astronomy , 1999 , pp. 411 - 412
Copyright
Copyright © Kluwer 1999

References

de Zeeuw, T.: 1985, Motion in the Core of a Triaxial Potential, M.N.R.A.S., 215, 731–760 Google Scholar
Moser, J.: 1970, Regularization of Kepler’s Problem and the Averaging Method on a Manifold, Comm. Pure and Appl. Math., 23, 609–636 Google Scholar
Yanguas, P.: 1998, Integrability, Normalization and Symmetries of Hamiltonian Systems in 1-1-1 Resonance, Ph.D. Thesis, Universidad Pública de Navarra, Pamplona (1998)Google Scholar