The periodic solutions for planar \(2N\)-body problems
Summary: Based on the works of \textit{L. M. Perko} and \textit{E. L. Walter} [Proc. Am. Math. Soc. 94, 301--309 (1985; Zbl 0583.70008)], \textit{R. Moeckel} and \textit{C. Simó} [SIAM J. Math. Anal. 26, No. 4, 978--998 (1995; Zbl 0830.34032)], and \textit{S. Zhang} and \textit{Q. Zhou} [Proc. Am. Math. Soc. 131, No. 7, 2161--2170 (2003; Zbl 1028.34039)], we study the necessary conditions and sufficient conditions for the uniformly rotating planar nested regular polygonal periodic solutions for the \(2N\)-body problems.
scientific article; zbMATH DE number 6209279