Solution to the problem of the motion of a point mass in the gravitational field of a rigid body

Details Solution to the problem of the motion of a point mass in the gravitational field of a rigid body Solution to the problem of the motion of a point mass in the gravitational field of a rigid body

Oct 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987azh....64.1124k&link_type=abstract

Astronomicheskii Zhurnal (ISSN 0004-6299), vol. 64, Sept.-Oct. 1987, p. 1124-1128. In Russian.

Astronomy and Astrophysics

Astronomy

Axisymmetric Bodies, Gravitational Fields, Mass Distribution, Two Body Problem, Integral Equations, Legendre Functions

Scientific paper

A special force function is constructed which, being added to the force function of an arbitrary axisymmetrical body, leads to integrable equations of motion of the point mass. A new integrable case has been found for the equations of motion of the point mass in one of the three mutually perpendicular planes of geometrical and dynamical symmetry of a body with an arbitrary axisymmetrical part and with a specially chosen longitudinal one.

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