Abstract
The essence of the gravitomagnetic clock effect is properly defined showing that its origin lies in the topology of worldlines with closed space projections. It is shown that in the weak-field approximation and for a spherically symmetric central body, the loss of synchrony between two clocks counter-rotating along a circular geodesic is proportional to the angular momentum of the source of the gravitational field. Numerical estimates are presented for objects within the solar system. The more favourable situation is found around Jupiter.
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