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The gravitational field of three-dimensional galaxies

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Abstract

The simplest method of calculating gravitational fields is to use a set of biorthogonal pairs of mass-potential functions. A suitable set of functions for three dimensional mass distributions is derived which uses ultraspherical polynomials. Algorithms for computing the gravitational field are discussed which attempt to maximise computational efficiency.

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References

  • Clutton-Brock, M.: 1972,Astrophys. Space Sci. 16, 101.

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  • Sommerfeld, A.: 1964,Partial Differential Equations in Physics, Academic Press, pp. 227–232.

  • Szegő, G.: 1939,Orthogonal Polynomials, American Mathematical Society, pp. 80–85.

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Authors and Affiliations

  1. School of Physics, University of Newcastle upon Tyne, England

    M. Clutton-Brock

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  1. M. Clutton-Brock
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Clutton-Brock, M. The gravitational field of three-dimensional galaxies. Astrophys Space Sci 23, 55–69 (1973). https://doi.org/10.1007/BF00647652

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  • DOI: https://doi.org/10.1007/BF00647652

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