Designer basis functions for potentials in galactic dynamics

Details Designer basis functions for potentials in galactic dynamics Designer basis functions for potentials in galactic dynamics

Jun 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993mnras.262.1062s&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 262, no. 4, p. 1062-1064.

Statistics

Computation

26

Celestial Mechanics, Poisson Equation, Stellar Motions, Computational Astrophysics, Potential Theory

Scientific paper

Existing methods for the solution of Poisson's equation using basis functions can be made considerably more flexible, yet simpler, by using nonorthogonal basis functions. The first part of this paper describes how such basis sets can be constructed. The second part gives explicit formulas (up to quadratures and matrix inversions) for basis functions as products of spherical harmonic and radial functions; two basis sets in the literature appear as special cases.

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