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Zbl 1202.70014
Hampton, Marshall; Santoprete, Manuele
Seven-body central configurations: a family of central configurations in the spatial seven-body problem.
(English)
[J] Celest. Mech. Dyn. Astron. 99, No. 4, 293-305 (2007). ISSN 0923-2958; ISSN 1572-9478/e

Summary: 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.
MSC 2000:
*70F15 Celestial mechanics
70F10 n-body problem

Keywords: Central configurations; Relative equilibria; N-body problem; Celestial mechanics

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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