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Co-circular and co-spherical kite central configurations. (English) Zbl 1307.70007

Summary: In this article we give a simple proof of the existence of kite central configurations in the planar four-body problem which lie on a common circle. We also give a simple proof of the existence of kite central configurations in the spatial five-body problem which lie on a common sphere.

MSC:

70F10 \(n\)-body problems
70F15 Celestial mechanics
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[8] Mello, L.F., Fernandes, A.C.: New spatial central configurations in the 5-body problem. An. Acad. Bras. Ciênc. (2010, accepted for publication) · Zbl 1356.70016
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