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A Four-Body Convex Central Configuration with Perpendicular Diagonals Is Necessarily a Kite

Published 27 Oct 2016 in math.CA, math-ph, and math.MP | (1610.08654v1)

Abstract: We prove that any four-body convex central configuration with perpendicular diagonals must be a kite configuration. The result extends to general power-law potential functions, including the planar four-vortex problem.

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