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Can there be a tangential component of Gravity if a planet is rotating at a faster speed?
As an example of the Lense-Thirring effect consider the following:Think of a satellite rotating around the Earth. According to Newtonian Mechanics, if there are no external forces applied to the satellite but the gravitation force exerted by the Earth, it will keep rotating in the same plane forever (this will be the case whether the Earth rotates around its axis or not.) With General Relativity, we find that the rotation of the Earth exerts a force to the satellite, so that the rotation plane of the satellite rotates, by a very small amount, in the same direction as the rotation of the Earth.