Potential-density basis sets in axisymmetric coordinates

Astronomy and Astrophysics – Astronomy

Scientific paper

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Instabilities, Methods: Numerical, Celestial Mechanics, Stellar Dynamics, Galaxies: Kinematics And Dynamics, Galaxies: Structure

Scientific paper

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.

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