Angle variables for numerically fitted orbital tori
Abstract
Angle variables are constructed for orbital tori leastsquares 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 resonantorbit family in a realistic model of the potential of a disk galaxy.
 Publication:

Monthly Notices of the Royal Astronomical Society
 Pub Date:
 April 1993
 DOI:
 10.1093/mnras/261.3.584
 Bibcode:
 1993MNRAS.261..584B
 Keywords:

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