Central Configurations of the 5-Body Problem with Equal Masses in Three-Space

Ilias Kotsireas Daniel Lazard 1
1 CALFOR - Calcul formel
LIP6 - Laboratoire d'Informatique de Paris 6
Abstract : Central configurations with axial symmetry in the 5-body problem with equal masses in three-space are enumerated. It is shown that only two of the configurations have a unique symmetry axis. Symbolic computation techniques are used because the proof involves very tedious computations.
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Submitted on : Tuesday, May 5, 2015 - 5:24:39 PM
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Ilias Kotsireas, Daniel Lazard. Central Configurations of the 5-Body Problem with Equal Masses in Three-Space. Journal of Mathematical Sciences, Springer Verlag (Germany), 2002, 108 (6), pp.1119-1138. ⟨10.1023/A:1013508925715⟩. ⟨hal-01148946⟩

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