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New classes of spatial central configurations for the 7-body problem

In this paper we show the existence of new families of spatial central configurations for the 7-body problem. In the studied spatial central configurations, six bodies are at the vertices of two equilateral triangles and one body is located out of the parallel distinct planes containing . The results have simple and analytic proofs., and

Spatial central configuration; 7-body problem; stacked central configuration; central configuration


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