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

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Minnesota—Duluth, 140 CCtr, 10 University Dr., Duluth, MN, 55812, USA

    Marshall Hampton

  2. Department of Mathematics, Wilfrid Laurier University, Waterloo, ON, Canada

    Manuele Santoprete

Authors
  1. Marshall Hampton
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  2. Manuele Santoprete
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Correspondence to Manuele Santoprete.

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Hampton, M., Santoprete, M. Seven-body central configurations: a family of central configurations in the spatial seven-body problem. Celestial Mech Dyn Astr 99, 293–305 (2007). https://doi.org/10.1007/s10569-007-9102-9

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  • DOI: https://doi.org/10.1007/s10569-007-9102-9

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