Twisted stacked central configurations for the spatial nine-body problem

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• 作者：Chunhua Deng ; Xia Su
• 关键词：34C15 ; 34C25 ; Nine ; body problem ; Twisted stacked central configuration ; Newtonian law
• 刊名：Zeitschrift f篓鹿r angewandte Mathematik und Physik
• 出版年：2015
• 出版时间：August 2015
• 年：2015
• 卷：66
• 期：4
• 页码：1329-1339
• 全文大小：777 KB
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• 作者单位：Chunhua Deng (1)
  Xia Su (1) (2)
  
  1. Faculty of Mathematics and Physics, Huaiyin Institute of Technology, Huai’an, 223003, China
  2. College of Science, Hohai University, Nanjing, 210098, China
  
• 刊物主题：Theoretical and Applied Mechanics; Mathematical Methods in Physics;
• 出版者：Springer Basel
• ISSN：1420-9039

文摘

In this article, we study the existence of the twisted stacked central configurations for the nine-body problem. More precisely, the position vectors x 1, x 2, x 3, x 4 and x 5 are at the vertices of a square pyramid Σ; the position vectors x 6, x 7, x 8 and x 9 are at the vertices of a square Π; the square (x 1, x 2, x 3, x 4) and the square (x 6, x 7, x 8, x 9) have twisted angle π/4.