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N-body simulations using customised potential-density pair basis sets

1998/06/02 by M. J. W. Brown, Brown, M. J. W., J. C. B. Papaloizou +1 · 1 citation
Physics and Astronomy · #Astronomy and Astrophysical Research #Astrophysics (astro-ph) #Astrophysics and Star Formation Studies #FOS: Physical sciences #Stellar, planetary, and galactic studies #astro-ph

paper · pdf · doi:10.48550/arxiv.astro-ph/9806031

Accepted by MNRAS. 13 pages, 11 figures. LaTeX2.09 in the MN style

arxiv created 1998/06/02 · openalex publication_date 1998/06/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Potential-density pair basis sets can be used for highly efficient N-body simulation codes, but they suffer from a lack of versatility, i.e. a basis set has to be constructed for each different class of stellar system. We present numerical techniques for generating a biorthonormal potential-density pair basis set which has a general specified pair as its lowest order member. We go on to demonstrate how the set can be used to construct N-body equilibria, which we then evolve using an N-body code which calculates forces using the basis set.

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