Abstract
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.
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Mello, L.F., Fernandes, A.C. Co-circular and Co-spherical Kite Central Configurations. Qual. Theory Dyn. Syst. 10, 29–41 (2011). https://doi.org/10.1007/s12346-011-0035-z
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DOI: https://doi.org/10.1007/s12346-011-0035-z