  Noncommutative algebra which is rotationally invariant, time reversal
invariant and equivalent to noncommutative algebra of canonical type is
considered. Perihelion shift of orbit of a particle in Coulomb potential in the
rotationally-invariant noncommutative phase space is found up to the second
order in the parameters of noncommutativity. Applying the result to the case of
Mercury planet and using observable results for precession of its orbit we find
upper bounds on the parameters of noncommutativity in the
rotationally-invariant noncommutative phase space. The obtained upper bound for
the parameter of momentum noncommutativity is at least ten orders less than the
upper bounds estimated on the basis of studies of the hydrogen atom in
noncommutative phase space. As a result we obtain stringent restriction on for
the minimal momentum in noncommutative phase space with preserved rotational
and time reversal symmetries.
