On lunar orbital-rotational coupling and figure-figure interactions in the earth-moon system

Astronomy and Astrophysics – Astronomy

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Coupled Modes, Earth Orbits, Earth-Moon System, Lunar Rotation, Celestial Mechanics, Covariance, Long Term Effects, Lunar Gravitation, Translational Motion

Scientific paper

Coupling effects have been shown to produce residuals of 5 cm, .0007 in., and .001 in. after three years in the orbital parameters: semi-major axis, perigee, and longitude, respectively. These effects stem from the inclusion of fourth-order terms in the lunar potential which modify the lunar orientation and, hence, the forces producing the lunar orbit. Figure-figure interactions have been shown to produce effects as great as 0.01 in. in the lunar physical librations. Modeling the dynamics of the moon in a coupled translational-rotational sense as accomplished in the numerical UMLTR model (Unified Model of Lunar Translation/Rotation) offers the advantages of providing rigorously for these coupling and FFI effects, as well as estimating the lunar inertias from a single extremely accurate data set.

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