Detection of the gravitomagnetic clock effect

The essence of the gravitomagnetic clock effect is properly defined showing that its origin lies ill the topology of worldlines with closed space proj ections. It is shown that in the weak-field approximation and for a spheric ally symmetric central body, the loss of synchrony between two clocks count er-rotating along a circular geodesic is proportional to the angular moment um of the source of the gravitational field. Numerical estimates are presen ted fur objects within the solar system. This more favourable situation is found around Jupiter.