Effective potential for Kerr incorrect?
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It seems the effective potential in the notes is incorrect. Or maybe I am interpreting it incorrectly. I used the effective potential in the universe in problems and it seems to give the correct answer.
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Explanation:
The two-body problem in general relativity is the determination of the motion and gravitational field of two bodies as described by the field equations of general relativity. Solving the Kepler problem is essential to calculate the bending of light by gravity and the motion of a planet orbiting its sun. Solutions are also used to describe the motion of binary stars around each other, and estimate their gradual loss of energy through gravitational radiation. It is customary to assume that both bodies are point-like, so that tidal forces and the specifics of their material composition can be neglected.
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