New periodic solutions for planar N+2-body problems

JOURNAL OF GEOMETRY AND PHYSICS

卷:61

Article

Deng Chunhua¹  Shiqing Zhang^2,3 

[1] Huaiyin Inst Technol, Fac Math & Phys, Huaian 223003, Peoples R China

[2] Sichuan Univ, Yangtze Ctr Math, Chengdu 610064, Peoples R China

[3] Sichuan Univ, Coll Math, Chengdu 610064, Peoples R China

关键词: n-body problem;    Winding number;    Variational minimizers;   

DOI  :  10.1016/j.geomphys.2011.07.012

来源: Elsevier

【 摘 要 】

For Newtonian N + 2-body problems in R(2), we prove the existence of new noncollision periodic solutions such that N + 2 bodies move on two or three different closed curves and have some given winding numbers. From the definition of the group action in equations (3.16) and (3.17), we can find that it is a new solution which is also different from all the examples of Ferrario and Terracini (2004) [6]. (C) 2011 Elsevier B.V. All rights reserved.

【 授权许可】

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