Validity of averaging in the plane problem of the resonant rotation of Venus

Details Validity of averaging in the plane problem of the resonant rotation of Venus Validity of averaging in the plane problem of the resonant rotation of Venus

Apr 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981azh....58..416b&link_type=abstract

Astronomicheskii Zhurnal, vol. 58, Mar.-Apr. 1981, p. 416-421. In Russian.

Mathematics

Logic

1

Gravitational Effects, Planetary Rotation, Resonance, Three Body Problem, Venus (Planet), Approximation, Center Of Mass, Earth (Planet), Equations Of Motion, Sun, Torque

Scientific paper

The paper considers the plane problem of the resonant rotation of Venus around its center of mass under the influence of gravitational torques from the sun and earth and tidal torques from the sun. It is shown that the phase pattern of motion obtained by averaging in the first approximation is topologically equivalent to the real pattern and differs from it by a small deformation. It is also shown that the resonant rotation of Venus is determined by the gravitational torque from the earth, though the gravitational torque from the sun is considerably greater.

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