, Volume 108, Issue 6, pp 1119-1138

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

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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. Bibliography: 15 titles.