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- W1536118252 abstract "ABSTRACT Effective integrals of motion that do not derive from a manifest Lagrangian symmetry appear to play a vital role in structuring galaxies. Recent work suggests that these effective integrals may sometimes by understood in terms of potentials that lead to separable Hamilton-Jacobi equations. However, studies of the action integrals of numerically integrated orbits in given rotating potentials suggest that many effective integrals of astronomical interest cannot be understood in this way. A hybrid approach to stellar dynamics in which the angle-action representations of orbits in model potentials are obtained by numerical integration and are then analyzed by the techniques of Hamiltonian perturbation theory may lead to a more satisfactory understanding of the relationship between potentials and the orbits that they support." @default.
- W1536118252 created "2016-06-24" @default.
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- W1536118252 date "1984-01-01" @default.
- W1536118252 modified "2023-10-16" @default.
- W1536118252 title "Stellar Dynamics with Non-classical Integrals" @default.
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- W1536118252 doi "https://doi.org/10.1016/b978-0-08-026523-0.50007-2" @default.
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