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Total force in general relativity

In general relativity, the effective gravitational potential energy of an object of mass m revolving around a massive central body M is given by

A conservative total force can then be obtained as its negative gradient

where L is the angular momentum. The first term represents the force of Newtonian gravity, which is described by the inverse-square law. The second term represents the centrifugal force in the circular motion. The third term represents the relativistic effect.