Lunar system constraints on the modified theories of gravity
  The MOND paradigm to the missing mass problem requires introducing a
functional that is to be identified through observations and experiments. We
consider AQUAL theory as a realization of the MOND. We show that the accurate
value of the Earth GM measured by the Lunar Laser Ranging and that by various
artificial Earth satellites, including the accurate tracking of the LAGEOS
satellites, constrain this functional such that some of the chosen/proposed
functional are refuted.
