The gravitational potential due to uniform disks and rings

Details The gravitational potential due to uniform disks and rings The gravitational potential due to uniform disks and rings

Jul 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983cemec..30..225l&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 30, July 1983, p. 225-228.

Computer Science

14

Celestial Mechanics, Gravitational Fields, Ring Structures, Rotating Disks, Coordinates, Elliptic Functions, Power Series

Scientific paper

The gravitational potential of bodies possessing axial symmetry can be expressed as a power series in distance, with the Legendre polynomials as coefficients. Such series, however, converge so slowly in the neighborhood of thin, uniform disks and rings that too many series terms must be summed in order to obtain an accurate field measure. A gravitational potential expression is presently obtained in closed form, in terms of complete elliptic integrals.

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