Show that the relativistic motion of a particle in an attractive inverse-square law of force is a precessing ellipse. Compute the precession of the perihelion of Mercury resulting from this effect. (The answer, about 7″ per century, is much smaller than the actual precession of 43″ per century that can be accounted for correctly only by general relativity. The other planets produce a precession greater than 5,000″ per century.)
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