Virginia TechAref, Hassanvan Buren, M.2013-12-042013-12-042005-05-01Aref, Hassan and van Buren, Martin, “Vortex triple rings,” Phys. Fluids (1994-present), 17, 057104 (2005), DOI:http://dx.doi.org/10.1063/1.18981431070-6631http://hdl.handle.net/10919/24387We determine equilibrium configurations of interacting point vortices in which identical vortices are arranged on concentric circles and/or form a set of nested regular polygons with or without a vortex at the center. A new analytical method is developed that uses moments of the vortex positions and yields particularly simple results for equilibria of this kind. A complete determination of all triple-ring equilibria is given and numerous previously unknown configurations are identified. Several equilibria previously reported in the literature, found by numerical solution, are characterized analytically.application/pdfenIn CopyrightRotating superfluidVorticesArticle - Refereedhttp://scitation.aip.org/content/aip/journal/pof2/17/5/10.1063/1.1898143https://doi.org/10.1063/1.1898143