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Zbl 1076.70007
Hampton, Marshall
Stacked central configurations: new examples in the planar five-body probem. (English)
[J] Nonlinearity 18, No. 5, 2299-2304 (2005). ISSN 0951-7715; ISSN 1361-6544/e

Summary: The main result of this paper is the existence of a new family of planar five-body central configurations. This family is unusual in that it is a stacked central configuration, i.e. a subset of the points also form a central configuration, in this case, the Lagrange equilateral solution to the three-body problem.
MSC 2000:
*70F10 n-body problem
70F15 Celestial mechanics
37N05 Dynamical systems in classical and celestial mechanics

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