Zeitschrift für angewandte Mathematik und Physik

, Volume 66, Issue 4, pp 1329–1339 | Cite as

Twisted stacked central configurations for the spatial nine-body problem

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Abstract

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.

Keywords

Nine-body problem Twisted stacked central configuration Newtonian law 

Mathematical Subject Classification

34C15 34C25 
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Copyright information

© Springer Basel 2014

Authors and Affiliations

  1. 1.Faculty of Mathematics and PhysicsHuaiyin Institute of TechnologyHuai’anChina
  2. 2.College of ScienceHohai UniversityNanjingChina

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