Zhang, Shiqing; Zhou, Qing Variational methods for the choreography solution to the three-body problem. (English) Zbl 1145.70314 Sci. China, Ser. A 45, No. 5, 594-597 (2002). Summary: In this paper, we give a short proof for the existence of nontrivial choreography solution to the equal-mass three-body problem, which is discovered by A. Chenciner and R. Montgomery [Ann. Math. (2) 152, No. 3, 881–901 (2000; Zbl 0987.70009)] recently. Cited in 18 Documents MSC: 70F07 Three-body problems 37J45 Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods (MSC2010) 70H12 Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics Citations:Zbl 0987.70009 PDFBibTeX XMLCite \textit{S. Zhang} and \textit{Q. Zhou}, Sci. China, Ser. A 45, No. 5, 594--597 (2002; Zbl 1145.70314)