Angle variables for numerically fitted orbital tori

Details Angle variables for numerically fitted orbital tori Angle variables for numerically fitted orbital tori

Apr 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993mnras.261..584b&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 261, no. 3, p. 584-592.

Statistics

Computation

9

Computational Astrophysics, Least Squares Method, Stellar Motions, Stellar Orbits, Spiral Galaxies, Toroidal Plasmas

Scientific paper

Angle variables are constructed for orbital tori least-squares fitted to general potentials by the method of McGill and Binney (1990). These angle variables enable one to determine the densities rho(J)(x) associated with the orbit that has given actions J. They also make it possible to treat any nonintegrable potential as a perturbation on a nearby integrable one. As an illustration of this approach, Hamiltonian perturbation theory is used to derive the width of the 1:1 resonant-orbit family in a realistic model of the potential of a disk galaxy.

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