Analytical theory of the libration of the moon

Details Analytical theory of the libration of the moon Analytical theory of the libration of the moon

Nov 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982m%26p....27..257m&link_type=abstract

Moon and the Planets, vol. 27, Nov. 1982, p. 257-284.

Physics

20

Celestial Mechanics, Earth Orbits, Hamiltonian Functions, Libration, Lunar Rotation, Center Of Mass, Lunar Gravitation, Numerical Integration, Perturbation Theory

Scientific paper

This paper presents a new theory of the libration of the moon, completely analytical with respect to the harmonic coefficients of the lunar gravity field. This field is represented through its third degree harmonics for the torque due to the earth (second degree for the torque due to the sun). The orbital motion of the moon is described by the ELP 2000 solution (Chapront-Touze, 1980) of the main problem of lunar theory. The physical libration variables are obtained as Poisson series and comparisons with the results of Eckhardt (Eckhardt, 1981) and Migus (Migus, 1980) are presented.

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