The final publication is available at link.springer.com via http://dx.doi.org/10.1007/s10569-017-9782-8We study planar central configurations of the five-body problem where three bodies, (Formula presented.) and (Formula presented.), are collinear and ordered from left to right, while the other two, (Formula presented.) and (Formula presented.), are placed symmetrically with respect to the line containing the three collinear bodies. We prove that when the collinear bodies form an Euler central configuration of the three-body problem with (Formula presented.), there exists a new family, missed by Gidea and Llibre (Celest Mech Dyn Astron 106:89–107, 2010), of stacked five-body central configuration where the segments (Formula presented.) and (Formula presented.) do not intersect.Peer ReviewedPostprint (author's final draft
We show the existence of a family of stacked central configurations in the planar five-body problem with a special property. Three bodies m 1 , m 2 and m 3 , ordered from left to right, are collinear and form an Euler central configuration, and the other two bodies m 4 and m 5 , together with m 2 are at the vertices of an equilateral triangle and form a Lagrange central configuration.
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