Test of Lense - Thirring orbital shift due to spin

Abstract

The Lense - Thirring effect is a very small shift of the orbit of a test particle due to the spin of a body. It may be described as an orbital drag due to the gravitomagnetic field generated by the spin of the central body. Gravitomagnetism, a fundamental weak-field prediction of Einstein's theory of general relativity, is generated by currents of mass and owes its name to its formal analogies with magnetism, generated by currents of electric charge. Then, according to general relativity, the Earth's spin should influence the motion of its orbiting satellites. Indeed, we have analysed the laser-ranging observations of the orbits of the satellites LAGEOS and LAGEOS II and have obtained the first direct measurement of the Lense - Thirring effect, or `frame-dragging', due to the Earth's spin. We measured and estimated the total error , whereas the general relativistic value is .