Perturbations due to the shape of the moon in the lunar theory ELP 2000

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Lunar Orbits, Orbit Perturbation, Orbital Mechanics, Shapes, Celestial Mechanics, Harmonics, Librational Motion, Moon, Shape, Perturbations, Theoretical Studies, Orbits, Calculations, Motion, Mathematical Models, Rotation, Librations, Harmonics, Data, Celestial Mechanics

Scientific paper

The perturbations due to the shape of the moon are computed at the first order of the harmonic coefficients of the lunar potential by means of methods commonly used in the construction of the ELP solutions. All the harmonics of the lunar potential with the order four or less are taken into account, and so is the main problem of the physical libration from Moons' (1982) solution representing the rotation of the moon. The final choice of this solution among three modern semianalytical and analytical ones is discussed. For an easier comparison with other solutions the perturbations are computed under the more restrictive assumption of Cassini's laws or less complete lunar potential. It is shown that a spurious trend in longitude may be introduced if any dissymmetry is introduced between the adopted lunar potential and the modelization of the rotation of the moon.

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