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Relative equilibria of the four-body problem

By Marshall Hampton and Richard Moeckel

Abstract

Abstract. We show that the number of relative equilibria of the Newtonian four-body problem is finite, up to symmetry. In fact, we show that this number is always between 32 and 8472. The proof is based on symbolic and exact integer computations which are carried out by computer. 1

Year: 1985
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