Perturbations due to the shape of the moon in lunar theory

Computer Science

Scientific paper

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Earth Orbits, Lunar Figure, Perturbation Theory, Selenology, Celestial Mechanics, Hamiltonian Functions

Scientific paper

The corrections resulting from the shape of the moon on its motion were computed by adding the perturbation function to the Hamiltonian expressed in terms of the earth and moon masses, the nominal value of the semimajor axis of the moon orbit, and the components of the unit vector in the direction of the earth in the system of the inertia of the moon. The effects in the longitude, latitude, and sine parallax of perturbation functions are calculated; their accuracy is estimated to be 10 to the -5th arcsec in longitude and 5 parts in 10 to the 11th in distance.

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