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The term "GravitoMagnetism" (GM) denotes those gravitational phenomena concerning orbiting test particles, precessing gyroscopes, moving clocks and atoms and propagating electromagnetic waves which in the framework of the Einstein's General Theory of Relativity (GTR), arise from non-static distributions of matter and energy. The impact of possible a-priori "Imprinting" effects of general relativity itself on recent attempts to measure the general relativistic Lense-Thirring effect with the LAGEOS satellites orbiting the Earth and the terrestrial geo-potential models from the dedicated mission GRACE is investigated.
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