Astronomy and Astrophysics – Astronomy
Scientific paper
Feb 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979pazh....5..100b&link_type=abstract
(Pis'ma v Astronomicheskii Zhurnal, vol. 5, Feb. 1979, p. 100-105.) Soviet Astronomy Letters, vol. 5, Jan.-Feb. 1979, p. 54-57.
Astronomy and Astrophysics
Astronomy
Celestial Bodies, Exponents, Motion Stability, Poincare Problem, Rotating Bodies, Approximation, Celestial Mechanics, Circular Orbits, Differential Equations, Hamiltonian Functions, Lunar Rotation
Scientific paper
A method is developed for determining approximations to the characteristic exponents of the Poincare periodic solutions for Hamiltonian systems of standard form. This method is applied to analyze the necessary conditions for stability of periodic solutions in the problem of the rotational motion of a rigid body traveling in an evolving circular orbit. The results are used to investigate the stability of rotational motion of the moon close to motion according to Cassini's laws.
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