Twisted stacked central configurations for the spatial seven-body problem

In this paper, we show the existence of the twisted stacked central configurations for 7-body problem. More precisely, the position vectors x1,x2,x3x1,x2,x3 and x4x4 are at the vertices of a regular tetrahedron ΣΣ; the position vectors x5,x6x5,x6 and x7x7 are at the vertices of an equilateral triangle ΠΠ; the triangle (x1,x2,x3)(x1,x2,x3) and the triangle (x5,x6,x7)(x5,x6,x7) have twisted angle π3.