Seven-body central configurations: a family of central configurations in the spatial seven-body problem
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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.
KeywordsCentral configurations Relative equilibria N-body problem Celestial mechanics
Mathematics Subject Classification (2000)70F15 70F10
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