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

作者：Corbera Montserrat; Cors Josep M; Roberts Gareth E^*

来源：Qualitative Theory of Dynamical Systems, 2018, 17(2): 367-374.

DOI：10.1007/s12346-017-0238-z

• Central configuration
• n-Body problem
• n-Vortex problem

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.

• 出版日期2018-7