Determination of the free librations of the moon from an analysis of laser rangefinding measurements

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Laser Range Finders, Librational Motion, Lunar Rotation, Laser Modes, Lunar Rangefinding, Lunar Retroreflectors, Orbital Elements

Scientific paper

Two numerical models, one describing the orbital motion of the moon and the other, its physical librations, are used to analyze laser rangefinder observations of the free librations in the lunar rotation. The analysis takes account of the coordinates of lunar retroflectors and those of the earth observation station and also of some of the orbital elements and potential coefficients of the moon. Measurements made between 1969 and 1974 indicate that free librations do in fact exist and that there are three different modes of libration with periods respectively of 2.9 years, 27.3 days, and 75 years, the first acting in longitude, the other two, in latitude.

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