Motion of an elastic planet in a central force field

Details Motion of an elastic planet in a central force field Motion of an elastic planet in a central force field

May 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979kosis..17..364v&link_type=abstract

Kosmicheskie Issledovaniia, vol. 17, May-June 1979, p. 364-370. In Russian.

Physics

Celestial Mechanics, Elastic Bodies, Gravitational Effects, Planetary Orbits, Trajectory Analysis, Energy Dissipation, Extremum Values, Functionals, Phase-Space Integral

Scientific paper

A theoretical approach is taken to the motion of a deformable body with energy dissipation in a central force field. It is shown that all the finite trajectories of the motion in phase space tend to steady state motion, i.e., to uniform rotation of the mass center of the elastic body about an axis parallel to the momentum vector of the motion and passing through the attractive center, with constant orientation of the body in the orbital axes. Such limiting motions are discussed with reference to tidal processes and the gravitational stabilization effect.

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