2026-04-14T03:27:47Zhttps://recercat.cat/oai/request

oai:recercat.cat:10256/171242024-06-18T12:17:51Zcom_2072_452955com_2072_2054col_2072_453069

00925njm 22002777a 4500 dc Barrabés Vera, Esther author Cors Iglesias, Josep Maria author 2019-08-15 We consider planar central configurations of the Newtonian κn-body problem consisting in κ groups of regular n-gons of equal masses, called (κ,n)-crown. We derive the equations of central configurations for a general (κ,n)-crown. When κ=2 we prove the existence of a twisted (2,n)-crown for any value of the mass ratio. Moreover, for n=3,4 and any value of the mass ratio, we give the exact number of twisted (2,n)-crowns, and describe their location. Finally, we conjecture that for any value of the mass ratio there exist exactly three (2,n)-crowns for n≥5 http://hdl.handle.net/10256/17124 Mecànica celest Celestial mechanics Problema dels cossos múltiples Many-body problem On central configurations of the κn-body problem