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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Periodic solutions for planar 2N-body problems


Authors: Shiqing Zhang and Qing Zhou
Journal: Proc. Amer. Math. Soc. 131 (2003), 2161-2170
MSC (2000): Primary 34C25, 34C15, 70F10
Published electronically: November 6, 2002
MathSciNet review: 1963764
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Abstract: In this paper we study some necessary conditions and sufficient conditions for the nested polygonal solutions of planar 2N-body problems.


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Additional Information

Shiqing Zhang
Affiliation: Department of Mathematics, Chongqing University, Chongqing 400044, People’s Republic of China
Address at time of publication: Department of Mathematics, Shanghai Jiaotong University, Shanghai 200030, People’s Republic of China
Email: zhangshiqing@hotmail.msn.com

Qing Zhou
Affiliation: Department of Mathematics, East China Normal University, Shanghai 200062, People’s Republic of China

DOI: http://dx.doi.org/10.1090/S0002-9939-02-06795-3
PII: S 0002-9939(02)06795-3
Keywords: 2N-body problems, nested regular polygon periodic solutions, circulant matrices
Received by editor(s): November 7, 2001
Received by editor(s) in revised form: February 25, 2002
Published electronically: November 6, 2002
Additional Notes: This work was supported by the NSF of China
Communicated by: Carmen C. Chicone
Article copyright: © Copyright 2002 American Mathematical Society