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Detection of the gravitomagnetic clock effect

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arxiv gr-qc/9909006 v2 pith:JFVFZ2GY submitted 1999-09-02 gr-qc

Detection of the gravitomagnetic clock effect

classification gr-qc
keywords clockeffectfieldgravitomagneticalongangularapproximationaround
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The essence of the gravitomagnetic clock effect is properly defined showing that its origin is in the topology of world lines with closed space projections. It is shown that, in 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 less unfavorable situation is found around Jupiter.

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