Analytical Approach to the Motion of a Lunar Artificial Satellite
The canonical equations of motion of an artificial lunar satellite are formulated including the effects of the asphericity of the Moon comprising the harmonics J2, J22, J3, J31, J4 andJ5, the oblateness of the Earth up to the second zonal harmonic, as well as the disturbing function due to the attractions of the Earth and of the Sun (terms are retained up to order 10-6 for the higher orbits and 10-8 for the lower orbits).
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