Geodesic
On the entire and finite valued solutions of the three-body problem
Theoretical and applied mechanics, Tome 43 (2016) no. 2, p. 229

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A full list of entire and finite valued solutions of the three body problem in the form of functions, depending on a time variable, is established. All the entire and finite valued solutions are among the solutions of Euler and Lagrange.
DOI : 10.2298/TAM160126010B
Classification : 55R55, 34M30, 74H10 34M45, 74H05
Keywords: three-body problem, factorization of the flow, first integral, singular points, analytic functions, entire functions, compact holomorphic manifold, holomorphic foliation 
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Alexandr Belyaev. On the entire and finite valued solutions of the three-body problem. Theoretical and applied mechanics, Tome 43 (2016) no. 2, p. 229 . doi: 10.2298/TAM160126010B

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