A Four-Body Convex Central Configuration with Perpendicular Diagonals Is Necessarily a Kite
classification
🧮 math.CA
math-phmath.MP
keywords
configurationcentralconvexdiagonalsfour-bodykiteperpendicularextends
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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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