Intrinsic gravitomagnetism and non-commutative effects

•The intrinsic gravito-magnetic field (generated by a rigid rotating sphere) may play role of the noncommutative effects and vice versa.•The value of noncommutative parameter is proportional to the angular velocity the sphere.•The noncommutative effects (corresponding to the space sector) cause a Precession Motion in the Keplerian orbit.

We give a demonstration that gravito-magnetism and non-commutative geometry predict an orbit precession for a test particle moving in the central force obeying the inverse-square law. To this end, the two equations of motion for a test particle are compared with each other, one in the non-commutative space involving a static solid sphere and the other in the usual space involving a slowly rotating sphere. The comparison indicates that the non-commutative effect is similar to the intrinsic gravitomagnetic contribution to the orbit precession.