Existence of quasi-periodic solutions to the three-body problem |
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Authors: | Burton B Lieberman |
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Institution: | (1) Dept. of Math., Polytechnic Institute of Brooklyn, 11201 Brooklyn, N.Y., USA |
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Abstract: | A rigorous proof is given for the existence of quasi-periodic solutions with only two degrees of freedom to a planar three-body problem. The solution corresponds physically to the small bodies moving on different, nearly elliptical orbits about a large mass located at a focus. The perihelia of the two orbits are locked in such a way that the difference of the two perihelia has mean value zero. |
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