Astronomy and Astrophysics – Astronomy
Scientific paper
Aug 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979azh....56..881a&link_type=abstract
Astronomicheskii Zhurnal, vol. 56, July-Aug. 1979, p. 881-887. In Russian.
Astronomy and Astrophysics
Astronomy
10
Astrodynamics, Celestial Mechanics, Gravitational Fields, Rotating Bodies, Translational Motion, Equations Of Motion, Hamiltonian Functions, Kinetic Energy, Spheres
Scientific paper
Particular solutions to the problem of the rotational-translational motion of a body with arbitrary dynamical structure in the gravity field of a sphere are studied. The second and third harmonics are retained in the expansion of the Newtonian-interaction force function. A small parameter is introduced on the assumption that the third harmonic is small in comparison with the first and second harmonics. The small-parameter method is used to show that particular solutions corresponding to motions of the relative equilibrium in the rotating orbital coordinate system exist which are similar to the known regular motions of the 'arrow', 'spoke', and 'float' types. In some of these solutions the body's center of mass is found to move on a circular orbit whose fixed plane does not contain the sphere's center of mass.
Abulnaga M. Z.
Barkin Iu. V.
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