The gravitational field of a disk

Details The gravitational field of a disk The gravitational field of a disk

Apr 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982cemec..26..395k&link_type=abstract

Celestial Mechanics, vol. 26, Apr. 1982, p. 395-405.

Statistics

Computation

6

Astronomical Models, Gravitational Fields, Rotating Disks, Saturn Rings, Elliptic Functions, Radii

Scientific paper

The gravitational potential of a disk is given, as is the gravitational field at a point in space. It is pointed out that formulas for a ring can be obtained as the difference between the results presented here for two different values of the disk radius. Results are obtained in terms of elliptic integrals and it is shown how these functions can be computed efficiently. Formulas necessary for the computation of partial derivatives are also presented.

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