Tsygvintsev, Alexei The meromorphic non-integrability of the planar three-body problem. (La non-intégrabilité méromorphe du problème plan des trois corps.) (French) Zbl 0964.70011 C. R. Acad. Sci., Paris, Sér. I, Math. 331, No. 3, 241-244 (2000). Summary: We study the planar three-body problem and prove the non-existence of a complete set of complex meromorphic first integrals in a neighborhood of Lagrangian solution. Cited in 7 Documents MSC: 70F07 Three-body problems 70H07 Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics Keywords:meromorphic non-integrability; non-existence of meromorphic first integrals; planar three-body problem; Lagrangian solution PDFBibTeX XMLCite \textit{A. Tsygvintsev}, C. R. Acad. Sci., Paris, Sér. I, Math. 331, No. 3, 241--244 (2000; Zbl 0964.70011) Full Text: DOI arXiv