Original Article

Celestial Mechanics and Dynamical Astronomy

, Volume 99, Issue 4, pp 293-305

First online:

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

  • Marshall HamptonAffiliated withDepartment of Mathematics and Statistics, University of Minnesota—Duluth
  • , Manuele SantopreteAffiliated withDepartment of Mathematics, Wilfrid Laurier University Email author 

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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