Stellar orbits in angle variables

Citations Over TimeTop 10% of 1984 papers

Abstract

Following recent basic developments by Binney and Spergel, the equations of motion for a star in a galactic potential have been transformed from time to angle variables. A numerical procedure has been devised to solve the transformed equations for two-dimensional box and loop orbits in the equatorial plane of a triaxial potential. In this procedure an orbit is specified not by its starting values in phase space, but either by its frequencies or by its action values. A substantial set of orbits has been derived by this procedure for one potential. The results for their physical and geometrical characteristics are displayed in action diagrams.

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