F. H. A. Robijn and D. J. D. Earn (1996)
Potential-density basis sets in axisymmetric coordinates
Monthly Notices of the Royal Astronomical Society, 282(4):1129-1142.
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.
instabilities; methods; numerical; celestial mechanics; stellar dynamics; galaxies; kinematics and dynamics; galaxies; structure; oblate galaxy models; galactic dynamics; flat disks
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