Celestial Mechanics and Dynamical Astronomy

, Volume 99, Issue 4, pp 293–305

Seven-body central configurations: a family of central configurations in the spatial seven-body problem

Original Article

DOI: 10.1007/s10569-007-9102-9

Cite this article as:
Hampton, M. & Santoprete, M. Celestial Mech Dyn Astr (2007) 99: 293. doi:10.1007/s10569-007-9102-9


The main result of this paper is the existence of a new family of central configurations in the Newtonian spatial seven-body problem. This family is unusual in that it is a simplex stacked central configuration, i.e the bodies are arranged as concentric three and two dimensional simplexes.


Central configurations Relative equilibria N-body problem Celestial mechanics 

Mathematics Subject Classification (2000)

70F15 70F10 

Copyright information

© Springer Science+Business Media B.V. 2007

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsUniversity of Minnesota—DuluthDuluthUSA
  2. 2.Department of MathematicsWilfrid Laurier UniversityWaterlooCanada

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