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Lunar Laser Ranging data of more than 20 years have been used to accurately determine parameters of the earth-moon system (e.g., the mass of the system, the lunar tidal acceleration etc.), the station-reflector geometry, and other physical parameters like the solar quadrupole moment. In addition to these, parameters suitable for testing metric theories of gravity in the first post-Newtonian approximation have been determined with great accuracy. These are the parameterized post-Newtonian parameters gamma and beta, the Nordtvedt parameter, the geodetic precession of the lunar orbit, as well as a possible time variation of the gravitational constant.
Müeller et al. (Sun,) studied this question.