Based on the works of Perko and Walter, Moeckel and Simo, and Zhang and Zhou, we study the necessary conditions and suffcient conditions for the uniformly rotating planar nested regular polygonal periodic solutions for the -body problems.
"The Periodic Solutions for Planar -Body Problems." Abstr. Appl. Anal. 2013 (SI20) 1 - 10, 2013. https://doi.org/10.1155/2013/397194