paper

Actions for axisymmetric potentials

arXiv:1207.4910 · doi:10.1111/j.1365-2966.2012.21757.x

Abstract

We give an algorithm for the economical calculation of angles and actions for stars in axisymmetric potentials. We test the algorithm by integrating orbits in a realistic model of the Galactic potential, and find that, even for orbits characteristic of thick-disc stars, the errors in the actions are typically smaller than 2 percent. We describe a scheme for obtaining actions by interpolation on tabulated values that significantly accelerates the process of calculating observables quantities, such as density and velocity moments, from a distribution function.

5 pages accepted for publication in MNRAS

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