Application of Poincare periodic solutions to the study of the moon's rotational motion

Details Application of Poincare periodic solutions to the study of the moon's rotational motion Application of Poincare periodic solutions to the study of the moon's rotational motion

Apr 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980azh....57..397m&link_type=abstract

(Astronomicheskii Zhurnal, vol. 57, Mar.-Apr. 1980, p. 397-405.) Soviet Astronomy, vol. 24, Mar.-Apr. 1980, p. 228-232. Transla

Astronomy and Astrophysics

Astronomy

Celestial Mechanics, Lunar Rotation, Orbit Calculation, Poincare Problem, Canonical Forms, Circular Orbits, Equations Of Motion, Perturbation Theory

Scientific paper

It is proposed to use the theory of Poincare periodic solutions to validate Cassini's laws and to reveal periodic perturbations in the problem of the rotation of the moon about its center of mass. For this the true orbit of the moon is modeled by a circular orbit whose plane precesses with a constant angular velocity relative to the normal to the ecliptic plane, forming a constant angle with the latter. The moon's rotational motion is described by Andoyer canonical osculating elements related to the moving orbital plane.

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