NEW PERIODIC SOLUTIONS FOR PLANAR FIVE-BODY AND SEVEN-BODY PROBLEMS

被引：1

作者：

Xia, Su ^{[1
]}

Zhang, Shiqing ^{[2
]}

机构：

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

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

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2012年 / 70卷 / 01期

关键词：

five-body and seven-body problems; winding number; variational minimizer; N-BODY PROBLEMS; ACTION-MINIMIZING ORBITS; 3-BODY PROBLEM; LAGRANGIAN SOLUTIONS; VARIATIONAL-METHODS; EQUAL MASSES; MINIMIZATION;

D O I：

10.1016/S0034-4877(13)60011-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

For Newtonian five-body and seven-body problems in R-2, we prove the existence of new non-collision periodic solutions such that five and seven bodies move on two or three different closed curves and have some given winding numbers.

引用

页码：27 / 38

页数：12

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