Local gravitomagnetic perturbations of the lunar orbit

Physics

Scientific paper

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Earth Orbits, Gravitational Effects, Moon, Orbit Perturbation, Relativistic Effects, Earth-Moon System, Equations Of Motion, Inertial Reference Systems, Relativistic Theory, Space-Time Functions

Scientific paper

Using the metric in the local inertial frame of the Earth, we calculate relativistic effects on the lunar orbit with the synodic month period. It is shown that such perturbations arise entirely from the gravitomagnetic components of the local metric which exist because of the relative motion of the sun with respect to the Earth. In the case of general relativity, the net perturbation has an amplitude of 3 cm for the lunar range.

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