The determination of the gravitational potential of arbitrary mass distribution

Details The determination of the gravitational potential of arbitrary mass distribution The determination of the gravitational potential of arbitrary mass distribution

Jan 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987ap%26ss.129..149t&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 129, no. 1, Jan. 1987, p. 149-158.

Statistics

Computation

1

Computational Astrophysics, Gravitational Fields, Mass Distribution, Potential Theory, Spherical Coordinates, Legendre Functions, Poisson Equation

Scientific paper

Numerical computation of the gravitational potential for arbitrary mass distribution in spherical coordinates is considered. It is possible to determine the potential from the spherical expansion of the Poisson integral with 1/2n2NML operations - i.e., with a number proportional to the mesh number NML multiplied by the square of the Legendre functions of index n. The computation of the potential based on the solution of the Poisson differential equation is discussed.

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