Abstract
In this paper, we give a new derivation of the equations for the central configurations of the 1+n body problem. In the case of equal masses, we show that forn large enough there exists only one solution. Our lower bound forn improves by several orders of magnitude the one previously found by Hall.
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Casasayas, J., Llibre, J. & Nunes, A. Central configurations of the planar 1+N body problem. Celestial Mech Dyn Astr 60, 273–288 (1994). https://doi.org/10.1007/BF00693325
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DOI: https://doi.org/10.1007/BF00693325