The meromorphic non-integrability of the three-body problem
classification
🧮 math.DS
keywords
meromorphicproblemthree-bodyabsencecompletecomplexcorrespondingequations
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We study the planar three-body problem and prove the absence of a complete set of complex meromorphic first integrals in a neighborhood of the Lagrangian solution. We use the Ziglin's method and study the monodromy group of the corresponding normal variational equations.
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