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A space with deformed Poisson brackets for coordinates and momenta leading tothe minimal length is considered. Features of description of motion of a bodyin the space are examined. We propose conditions on the parameters ofdeformation on which Poisson brackets for coordinates and momenta of thecenter-of-mass reproduce relations of deformed algebra, kinetic energy of abody is independent of its composition, and the weak equivalence principle ispreserved in the deformed space. Influence of minimal length on the motion ofthe Sun-Earth-Moon system is studied. We find that deformation of the Poissonbrackets leads to corrections to the accelerations of the Earth and the Moontoward the Sun, as a result the Eotvos-parameter does not vanish even if weconsider equality of gravitational and inertial masses. The upper bound for theminimal length is estimated using results of the Lunar laser rangingexperiment.

Minimal length estimation on the basis of studies of the Sun-Earth-Moon system in deformed space