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Seven-body central configurations: a family of central configurations in the spatial seven-body problem |
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| Authors: | Marshall Hampton Manuele Santoprete |
| Institution: | (1) Department of Mathematics and Statistics, University of Minnesota—Duluth, 140 CCtr, 10 University Dr., Duluth, MN 55812, USA;(2) Department of Mathematics, Wilfrid Laurier University, Waterloo, ON, Canada |
| 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. |
| Keywords: | Central configurations Relative equilibria N-body problem Celestial mechanics |
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