Physics
Scientific paper
Nov 1972
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1972cemec...6..356b&link_type=abstract
Celestial Mechanics, Volume 6, Issue 3, pp.356-378
Physics
19
Scientific paper
Celestial body rotation about its center of mass, taking into account the body orbit evolution, is considered. Non-linear evolution equations of motion are constructed. Empirical Cassini's laws describing the Moon motion result from these equations as their stationary points. Bifurcation conditions of steady motions are written out and conditions of their stability are investigated. Hypothesis of Mercury's resonance motion analogous to the ‘motion by Cassini’ is discussed. Consequences of this hypothesis are considered. The first information including the results mentioned in the paper was previously published in preprint [1].
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