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 \(n\ge 5\) all convex central configurations of two twisted regular n-gons are strictly convex.
KeywordsCentral configuration Convex central configuration n-Body problem Twisted central configuration
Mathematics Subject Classification70F10 70F15
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