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Abstract
Regular and chaotic test particle motion in axially symmetric gravitational fields due to bodies with quadrupolar and octupolar deformation are studied using Poincare 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 that by switching on the octupolar moment increases the chaoticity and leads to apparition of spindle torus, can be viewed 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.
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