A note on the energy of relative equilibria of point vortices

Hassan Aref
2007 Physics of Fluids  
Analytical formulas are derived for the energy of simple relative equilibria of identical point vortices such as the regular polygons, both open and centered, and the various known configurations consisting of nested regular polygons with or without a vortex at the center.
doi:10.1063/1.2795276 fatcat:zlfruna6p5e37ksrynhy6ap4au