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Stacked Central Configurations for the Spatial Seven–Body Problem

Qualitative Theory of Dynamical Systems volume 12, pages 101–114 (2013)Cite this article

Abstract

In this article we study the existence of new families of spatial stacked central configurations for the 7–body problem. We study spatial central configurations where four bodies are at the vertices of a regular tetrahedron \({\mathcal T}\) and the other three bodies are symmetrically located at the vertices of an equilateral triangle \({\mathcal{E}}\) in the exterior of \({\mathcal{T}}\).

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Authors and Affiliations

  1. Instituto de Ciências Exatas, Universidade Federal de Itajubá, Avenida BPS 1303, Pinheirinho, CEP 37.500–903, Itajubá, MG, Brazil

    Luis Fernando Mello & Antonio Carlos Fernandes

Authors
  1. Luis Fernando Mello
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  2. Antonio Carlos Fernandes
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Correspondence to Luis Fernando Mello.

Additional information

This article is dedicated to Professor Kenneth Meyer on his 75th birthday.

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Mello, L.F., Fernandes, A.C. Stacked Central Configurations for the Spatial Seven–Body Problem. Qual. Theory Dyn. Syst. 12, 101–114 (2013). https://doi.org/10.1007/s12346-012-0073-1

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  • DOI: https://doi.org/10.1007/s12346-012-0073-1

Keywords

  • Spatial central configuration
  • 7–body problem
  • Stacked central configuration
  • Celestial mechanics

Mathematics Subject Classification

  • Primary 70F10
  • 70F15
  • Secondary 37N05