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Feb 10, 2013 at 19:11 comment added Douglas Zare @Ben Crowell: Finiteness can be weakened in this proof, say to collections of masses with no limit points so that the sum converges everywhere except for the masses.
Feb 10, 2013 at 3:11 comment added user21349 This is a nice, rigorous demonstration of two of the three features that I think are generally required: (1) general position (here, nonconstant trajectory), and (2) a finite number of masses. The other general issue is (3) what are you measuring relative to? (Here it could be the center of mass of the finite collection of masses.)
Feb 10, 2013 at 2:30 comment added Joseph O'Rourke Nice, Douglas! (Yes, I meant space-time trajectory---Now clarified.)
Feb 10, 2013 at 2:14 history answered Douglas Zare CC BY-SA 3.0