Expansion of the external potential of a homogeneous ellipsoid of revolution with a large flattening

Details Expansion of the external potential of a homogeneous ellipsoid of revolution with a large flattening Expansion of the external potential of a homogeneous ellipsoid of revolution with a large flattening

Dec 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985azh....62.1182b&link_type=abstract

(Astronomicheskii Zhurnal, vol. 62, Nov.-Dec. 1985, p. 1182-1192) Soviet Astronomy (ISSN 0038-5301), vol. 29, Nov.-Dec. 1985, p.

Astronomy and Astrophysics

Astronomy

1

Celestial Mechanics, Elliptical Galaxies, Galactic Rotation, Gravitational Fields, Potential Fields, Series Expansion, Bodies Of Revolution, Ellipsoids, Spherical Harmonics, Stellar Motions

Scientific paper

An expansion of the external gravitational potential of a homogeneous ellipsoid of revolution with a large flattening is constructed in the form of a series of spherical harmonics, which converges at any point of external space and at the surface of the ellipsoid. The expansion obtained can be used to represent the external potentials of elliptical galaxies.

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