Chaotic and regular motion around generalized Kalnajs discs
Astrophysics
2009-06-30 v1
Abstract
The motion of test particles in the gravitational fields generated by the first four members of the infinite family of generalized Kalnajs discs, is studied. In first instance, we analyze the stability of circular orbits under radial and vertical perturbations and describe the behavior of general equatorial orbits and so we find that radial stability and vertical instability dominate such disc models. Then we study bounded axially symmetric orbits by using the Poincare surfaces of section and Lyapunov characteristic numbers and find chaos in the case of disc-crossing orbits and completely regular motion in other cases.
Keywords
Cite
@article{arxiv.0806.4272,
title = {Chaotic and regular motion around generalized Kalnajs discs},
author = {Javier Ramos-Caro and Framsol Lopez-Suspes and Guillermo A. Gonzalez},
journal= {arXiv preprint arXiv:0806.4272},
year = {2009}
}