Physics
Scientific paper
May 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992cosre..29..734k&link_type=abstract
Cosmic Res., Vol. 29, No. 6, p. 734 - 745
Physics
Scientific paper
Spatial rotations of a satellite about its center of mass are considered within the circular three-body problem for the fractional resonances Ω = ω0/2, Ω = 2ω0, where Ω is the angular velocity of undisturbed satellite rotation, ω0 is the mean motion of the finite masses. It is assumed that the trajectory of motion of the center of mass of the solid body is described by arbitrary periodic functions of time, while its central ellipsoid of inertia is close to a sphere. It will be shown that the averaged equations of motion of an asymmetric satellite admit a family of integral manifolds upon which the solution of the problem is reducible to quadratures. Satellite rotations on these manifolds are described. Motions of an axisymmetric body are studied in detail, and a geometric interpretation of resonant satellite rotations is given.
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