Periodic motions of a satellite in the gravitational field of a rotating rigid body

Details Periodic motions of a satellite in the gravitational field of a rotating rigid body Periodic motions of a satellite in the gravitational field of a rotating rigid body

Apr 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983mvsmm.......74b&link_type=abstract

Moskovskii Universitet, Vestnik, Seriia 1 - Matematika, Mekhanika (ISSN 0579-9368), Mar.-Apr. 1983, p. 74-78. In Russian.

Physics

Celestial Mechanics, Gravitational Fields, Natural Satellites, Periodic Functions, Planetary Rotation, Differential Equations, Ellipsoids

Scientific paper

The present study demonstrates the existence of a family of periodic solutions in the problem of the motion of a point mass in the gravitational field of a uniformly rotating planet having a triaxial ellipsoid of inertia that is close to a sphere. The point mass (i.e., a satellite) is assumed to be passively gravitating, and the planet is assumed to rotate with constant angular velocity relative to the shortest axis of its ellipsoid of inertia.

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