A map for eccentric orbits in non-axisymmetric potentials | Zendy

Jihad Tourna | Zendy; Scott Tremaine | Zendy

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A map for eccentric orbits in non-axisymmetric potentials

Author(s) -

Jihad Tourna,

Scott Tremaine

Publication year - 1997

Publication title -

monthly notices of the royal astronomical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.058

H-Index - 383

eISSN - 1365-8711

pISSN - 0035-8711

DOI - 10.1093/mnras/292.4.905

Subject(s) - physics , rotational symmetry , classical mechanics , logarithm , orbit (dynamics) , planar , stellar dynamics , power law , celestial mechanics , focus (optics) , mechanics , mathematical analysis , astrophysics , optics , aerospace engineering , stars , statistics , computer graphics (images) , mathematics , computer science , engineering

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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