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An analysis of six years of lunar-laser-ranging data gives a zero amplitude for the Nordtvedt term in the Earth-Moon distance yielding the Nordtvedt parameter η=0.00±0.03 Thus, Earth's gravitational self-energy contributes equally, ±{}3%, to its inertial mass and passive gravitational mass. At the 70% confidence level this result is only consistent with the Brans-Dicke theory for ω>29. We obtain |β-1|0.02 to 0.05 for five-parameter parametrized post-Newtonian theories of gravitation with energy-momentum conservation, or |β-1|0.01 if only β and γ are considered.
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Williams et al. (1976) studied this question.
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