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

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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Bibliographic Details
Published in:	Qualitative theory of dynamical systems Vol. 17; no. 2; pp. 367 - 374
Main Authors:	Corbera, Montserrat, Cors, Josep M., Roberts, Gareth E.
Format:	Journal Article Publication
Language:	English
Published:	Cham Springer International Publishing 01.07.2018 Springer Nature B.V
Subjects:	37 Dynamical systems and ergodic theory 37N Applications 70 Mechanics of particles and systems 70F Dynamics of a system of particles, including celestial mechanics Central configuration Classificació AMS Configurations Difference and Functional Equations Dynamical Systems and Ergodic Theory Enginyeria mecànica Many-body problem Matemàtiques i estadística Mathematics Mathematics and Statistics n-Body problem n-Vortex problem Problema dels cossos múltiples Àrees temàtiques de la UPC Body problem 70F10 Central configuration Vortex problem 70F15 37N05
ISSN:	1575-5460, 1662-3592
Online Access:	Get full text
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