Potential-density basis sets in axisymmetric coordinates
Abstract
We present a general scheme for constructing potential-density basis sets in axisymmetric coordinates, for both infinite and finite systems. Several examples are given, starting from simple functions. The basis sets constructed are useful for galaxy modelling, N-body simulations and three-dimensional stability analyses of dynamical equilibria. Symbolic manipulation software implementing the technique is available.
- Publication:
-
Monthly Notices of the Royal Astronomical Society
- Pub Date:
- October 1996
- DOI:
- 10.1093/mnras/282.4.1129
- Bibcode:
- 1996MNRAS.282.1129R
- Keywords:
-
- INSTABILITIES;
- METHODS: NUMERICAL;
- CELESTIAL MECHANICS;
- STELLAR DYNAMICS;
- GALAXIES: KINEMATICS AND DYNAMICS;
- GALAXIES: STRUCTURE