Abstract
In this paper, we show the existence of new families of spatial central configurations for the n + 3 -body problem, n ≥ 3 . We study spatial central configurations where n bodies are at the vertices of a regular n -gon T and the other three bodies are symmetrically located on the straight line that is perpendicular to the plane that contains T and passes through the center of T . The results have simple and analytic proofs.
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