On Cassini's laws

Details On Cassini's laws On Cassini's laws

Feb 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978sva....22...64b&link_type=abstract

(Astronomicheskii Zhurnal, vol. 55, no. 1, 1978, p. 113-122.) Soviet Astronomy, vol. 22, Jan.-Feb. 1978, p. 64-69. Translation.

Astronomy and Astrophysics

Astronomy

1

Celestial Mechanics, Lunar Rotation, Poincare Problem, Precession, Satellite Rotation, Circular Orbits, Differential Equations, Equations Of Motion, Libration

Scientific paper

The generating periodic Poincare solutions for the problem of the rotational motion of a satellite about its center of mass on a circular uniformly precessing orbit are interpreted as generalized Cassini's laws. A qualitative analysis of the analytic conditions for the existence of Cassini motions is carried out. The results are used to improve the values of the parameters of moon's physical libration parameters.

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