Stability of axial orbits in galactic potentials

Details Stability of axial orbits in galactic potentials Stability of axial orbits in galactic potentials

2006-03-21

arxiv.org/abs/nlin/0603042v1

Nonlinear Sciences

Chaotic Dynamics

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

Scientific paper

10.1007/s10569-006-9015-z

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.

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