most easily by studying the appropriate periodic solution.

Poincare continued to be occupied with periodic orbits for the rest of his life. In 1912, he published a paper containing a theorem impling the existence of an infinite number of periodic solutions in the restricted three-body problem for any value of the mass parameter /. He was unable to prove the result, however, and had resigned himself to publishing the work in an unfinished state, hoping that others would be able to complete what he had started. His hopes were realized, sooner than he might have expected, when, shortly after Poincare's

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