Non-Existence of New Meromorphic First Integrals in the Planar Three-Body Problem |
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| Authors: | Alexei V. Tsygvintsev |
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| Affiliation: | (1) School of Mathematical Sciences, University of Exeter, Exeter EX4 4QE, England, e-mail |
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| Abstract: | ![]()
We consider the planar three-body problem and prove that, apart from some exceptional cases, there is no additional first integral meromorphic with respect to positions, mutual distances and momenta. |
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| Keywords: | three-body problem integrability Lagrangian solutions Ziglin's theory |
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