Abstract

LOPEZ-SUSPES, Framsol; REINA, Jerson I.  and  GONZALEZ, Guillermo A.. Chaotic and regular motion around objects with quadrupolar and octupolar deformation. Rev. acad. colomb. cienc. exact. fis. nat. [online]. 2017, vol.41, n.160, pp.292-297. ISSN 0370-3908.  https://doi.org/10.18257/raccefyn.490.

Regular and chaotic test particle motion in axially symmetric gravitational fields due to bodies with quadrupolar and octupolar deformation are studied using Poincaré surfaces of section. We find that inclusion of the octupolar term induces a distortion in the KAM curves corresponding to regular trajectories, as well as an increasing in chaoticity. The fact the switching on of the octupolar moment it increases chaoticity and leads to the apparition of spindle torus, can be seen even in the case corresponding to oblate deformation, which commonly presents regular motion. Thus, the results here obtained are the generalization, for the case of Newtonian gravity, of those previously obtained by Heiss, W. D., Nazmitdinov R. G. & Radu, S. (1994) and Li, J. (1998) for harmonic oscillators.

Keywords : Stellar dynamics; galaxies: kinematics and dynamics; chaotic dynamics.

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