The Periodic Solutions for Planar 2 N -Body Problems

Xiaohong Hu; Changrong Zhu

doi:10.1155/2013/397194

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Home > Journals > Abstr. Appl. Anal. > Volume 2013 > Issue SI20 > Article

2013 The Periodic Solutions for Planar

2N

-Body Problems

Xiaohong Hu, Changrong Zhu

Abstr. Appl. Anal. 2013(SI20): 1-10 (2013). DOI: 10.1155/2013/397194

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Abstract

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 $2N$ -body problems.

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Xiaohong Hu. Changrong Zhu. "The Periodic Solutions for Planar $2N$ -Body Problems." Abstr. Appl. Anal. 2013 (SI20) 1 - 10, 2013. https://doi.org/10.1155/2013/397194