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Finiteness of spatial central configurations in the five-body problem

Celestial Mechanics and Dynamical Astronomy (2011) 109(4) 321-332
DOI: 10.1007/s10569-010-9328-9
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Abstract

We strengthen a generic finiteness result due to Moeckel by showing that the number of spatial central configurations of the Newtonian five-body problem with positive masses is finite, apart from some explicitly given special cases of mass values. © 2011 The Author(s).

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Hampton, M., & Jensen, A. (2011). Finiteness of spatial central configurations in the five-body problem. Celestial Mechanics and Dynamical Astronomy, 109(4), 321–332. https://doi.org/10.1007/s10569-010-9328-9

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