Potential-density basis sets in axisymmetric coordinates | Zendy

F. H. A. Robijn | Zendy; David J. D. Earn | Zendy

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Potential-density basis sets in axisymmetric coordinates

Author(s) -

F. H. A. Robijn,

David J. D. Earn

Publication year - 1996

Publication title -

monthly notices of the royal astronomical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.058

H-Index - 383

eISSN - 1365-8711

pISSN - 0035-8711

DOI - 10.1093/mnras/282.4.1129

Subject(s) - physics , basis (linear algebra) , rotational symmetry , simple (philosophy) , basis function , classical mechanics , orthogonal coordinates , galaxy , stability (learning theory) , statistical physics , mathematics , mathematical analysis , geometry , mechanics , quantum mechanics , computer science , machine learning , philosophy , epistemology

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 techni...

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