On the `geodetic' precession of the lunar orbit

Computer Science

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Scientific paper

Reflecting on a recent calculation which found that de Sitter's `geodetically' rotating inertial frames accompanying the Earth in its motion around the Sun induce a precession of the lunar orbit which is slightly greater than the geodetic precession rate, I here inquire why. The key to understanding this effect is that the Moon is not a locally isolated dynamical system, but rather, it has key Newtonian features of its motion determined by the Sun's tidal acceleration field. The Moon's dynamics in the geodetically rotating inertial frame is intrinsically different from its dynamics in a globally fixed frame, possessing different ratios of lunar motion to solar motion, and of tidal strength to squared solar motion. The correct prescription is that the Moon's orbit in globally fixed coordinates equals a dynamically different lunar orbit determined in the geodetically rotating inertial frame plus additional precession of that orbit as it accompanies the local frame.

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