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.