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Under arbitrary masses, in this paper, we discuss the existence of new families of spatial central configurations for the N N 2-body problem, N ≥ 2. We study some necessary conditions and sufficient conditions for a families of spatial double pyramidical central configurations d.p.c.c. , where 2N bodies are at the vertices of a nested regular N-gons Γ 1 ∪ Γ 2 , and the other two bodies are symmetrically located on the straight line that is perpendicular to the plane that contains Γ 1 ∪ Γ 2 anddoi:10.1155/2012/948356 fatcat:cgmepl3d3jdofijp7w67o2573i