Lunar moments, tides, orientation, and coordinate frames

Physics

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Scientific paper

To determine the lunar moments of inertia (A < B < C) it is necessary to determine three quantities. (C - A)/B and (B - A)/C come from Lunar Laser Ranging (LLR) measurements of the lunar orientation. Spacecraft or lunar orbit perturbations provide J2. Combining five reported J2 results gives a normalized polar moment of inertia C/MR2 = 0.3929 +/- 0.0009. Solid-body tides displace the surface about 0.1 m, but can perturb the orbit of a Moon-orbiting spacecraft. The selenocentric coordinates of four lunar retro-reflectors are accurately known and can serve as reference points. The orientation and orbit of the Moon are very well known for the time span of the LLR data.

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