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On Strictly Convex Central Configurations of the 2n-Body Problem

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We consider planar central configurations of the Newtonian 2n-body problem consisting in two twisted regular n-gons of equal masses. We prove the conjecture that for $$n\ge 5$$n≥5 all convex central… Click to show full abstract

We consider planar central configurations of the Newtonian 2n-body problem consisting in two twisted regular n-gons of equal masses. We prove the conjecture that for $$n\ge 5$$n≥5 all convex central configurations of two twisted regular n-gons are strictly convex.

Keywords: central configurations; body problem; convex central; strictly convex

Journal Title: Journal of Dynamics and Differential Equations
Year Published: 2019

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