PREPRINT
D2A3A6BA-DA51-4E4B-92F5-BF34AFD8320A

Stability of axial orbits in galactic potentials

Cinzia Belmonte, Dino Boccaletti, Giuseppe Pucacco
arXiv:nlin/0603042

Submitted on 21 March 2006

Abstract

We investigate the dynamics in a galactic potential with two reflection symmetries. The phase-space structure of the real system is approximated with a resonant detuned normal form constructed with the method based on the Lie transform. Attention is focused on the stability properties of the axial periodic orbits that play an important role in galactic models. Using energy and ellipticity as parameters, we find analytical expressions of bifurcations and compare them with numerical results available in the literature.

Preprint

Comment: 20 pages, accepted for publication on Celestial Mechanics and Dynamical Astronomy

Subjects: Nonlinear Sciences - Chaotic Dynamics; Astrophysics

URL: https://arxiv.org/abs/nlin/0603042