An analytical perturbation theory for the low lunar polar orbiter.

Astronomy and Astrophysics – Astronomy

Scientific paper

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Artificial Satellites: Perturbation Theory

Scientific paper

The authors present a fully analytical theory of motion for the low lunar polar orbiter, intended for the mission analysis i.e. for the preliminary study of the satellite orbit. The authors first explain how in general one develops an analytic perturbation theory, and describe the requirements to be met and choices to be done to build the theory and compute the solution. Then they give the basic equations for the theory in question and discuss the methods and procedures employed. The results achieved with the current version of the theory (rms's in semimajor axis, eccentricity and inclination are ≍13 m, <0.001 and <0.001 rad, respectively, in the course of 6 months) are more than enough for the present purpose. Finally, they briefly discuss the limitations of the theory, and ways to improve it if and when the need arises.

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