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Co-circular and Co-spherical Kite Central Configurations

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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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Authors and Affiliations

  1. Instituto de Ciências Exatas, Universidade Federal de Itajubá, Avenida BPS 1303, Pinheirinho, Itajubá, MG, CEP 37.500-903, Brazil

    Luis Fernando Mello & Antonio Carlos Fernandes

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  1. Luis Fernando Mello
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  2. Antonio Carlos Fernandes
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Correspondence to Luis Fernando Mello.

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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

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