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A map for eccentric orbits in triaxial potentials

J. Touma·S. Tremaine
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Abstract

We construct a simple symplectic map to study the dynamics of eccentric orbits in non-spherical potentials. The map offers a dramatic improvement in speed over traditional integration methods, while accurately representing the qualitative details of the dynamics. We focus attention on planar, non-axisymmetric power-law potentials, in particular the logarithmic potential. We confirm the presence of resonant orbit families (``boxlets'') in this potential and uncover new dynamics such as the emergence of a stochastic web in nearly axisymmetric logarithmic potentials. The map can also be applied to triaxial, lopsided, non-power-law and rotating potentials.

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J. Touma, S. Tremaine. 1997-06-04. A map for eccentric orbits in triaxial potentials. https://doi.org/10.1093/mnras%2F292.4.905

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