Generally speaking, the three body problem is unsolvable. See http://plus.maths.org/issue6/xfile/index.html and http://en.wikipedia.org/wiki/N-body_problem. However, in practice the problem is soluble by theories of perturbation. It is solved for some special cases in which the mass undergoes a reversal to infinitely small as in the Lagrangian and Eulerian cases.


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