  A space with deformed Poisson brackets for coordinates and momenta leading to
the minimal length is considered. Features of description of motion of a body
in the space are examined. We propose conditions on the parameters of
deformation on which Poisson brackets for coordinates and momenta of the
center-of-mass reproduce relations of deformed algebra, kinetic energy of a
body is independent of its composition, and the weak equivalence principle is
preserved in the deformed space. Influence of minimal length on the motion of
the Sun-Earth-Moon system is studied. We find that deformation of the Poisson
brackets leads to corrections to the accelerations of the Earth and the Moon
toward the Sun, as a result the Eotvos-parameter does not vanish even if we
consider equality of gravitational and inertial masses. The upper bound for the
minimal length is estimated using results of the Lunar laser ranging
experiment.
