The gravitomagnetic influence on Earth-orbiting spacecrafts and on the lunar orbit

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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9 pages, a contributed paper to the book in memory of J.A. Wheeler, (ed.) I. Ciufolini

Scientific paper

Gravitomagnetic field is covariantly split in the {\it intrinsic} and {\it extrinsic} parts, which are generated by rotational and translational currents of matter respectively. The {\it intrinsic} component has been recently discovered in the LAGEOS spacecraft experiment. We discuss the method of detection of the {\it extrinsic} tidal component with the lunar laser ranging (LLR) technique. Analysis of the gauge residual freedom in the relativistic theory of three-body problem demonstrates that LLR is currently not capable to detect the {\it extrinsic} gravitomagnetic effects which are at the ranging level of few millimeters. Its detection requires further advances in the LLR technique that are coming in the next 5-10 years.

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