Improved constraint on the α1 PPN parameter from lunar motion

Mathematics – Logic

Scientific paper

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Post-Newtonian Approximation, Perturbation Theory, Related Approximations, Experimental Tests Of Gravitational Theories, Moon

Scientific paper

Some theories of gravity, alternative to general relativity, introduce a preferred rest frame for local gravitational physics. At the post-Newtonian level, these preferred-frame effects in Lagrangian-based theories are described by two phenomenological parameters α1 and α2, of which only the latter is strongly constrained today. Following previous theoretical suggestions of Nordtvedt, Damour, and Vokrouhlický, we show that the analysis of the lunar motion provides an improved bound of the former parameter, notably α1=(-8+/-9)×10-5 realistic error [and α1=(-8+/-4)×10-5 (90% C.L.)].

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