Construction of invariant tori around closed orbits
1995; Oxford University Press; Volume: 275; Issue: 1 Linguagem: Inglês
10.1093/mnras/275.1.162
ISSN1365-2966
Autores Tópico(s)Advanced Chemical Physics Studies
ResumoThe approach and methods introduced by McGill & Binney and Kaasalainen & Binney (Papers I and III), for the construction of phase-space tori that are approximate invariant tori of a given Hamiltonian, are generalized to include motion ‘trapped’ around general closed orbits. This is accomplished by introducing point transformations that map the configuration space around a closed orbit in the target potential to one in a toy potential for which action-angle coordinates are known. This approach opens up the possibility of constructing tori for an arbitrary orbit family. The method is illustrated by applying it to the ‘banana’ and ‘fish’ minor-orbit families in the planar logarithmic potential.
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