Abstract

view Abstract Citations (21) References (4) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Stellar orbits in angle variables Ratcliff, S. J. ; Chang, K. M. ; Schwarzschild, M. 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. Publication: The Astrophysical Journal Pub Date: April 1984 DOI: 10.1086/161925 Bibcode: 1984ApJ...279..610R Keywords: Celestial Mechanics; Equations Of Motion; Orbit Calculation; Stellar Motions; Stellar Orbits; Algorithms; Iteration; Partial Differential Equations; Transformations (Mathematics); Astronomy full text sources ADS |

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