2026-04-17T14:12:36Zhttps://recercat.cat/oai/requestoai:recercat.cat:10256/171242024-06-18T12:17:51Zcom_2072_452955com_2072_2054col_2072_453069
RECERCAT
author
Barrabés Vera, Esther
author
Cors Iglesias, Josep Maria
2024-06-18T12:17:51Z
2024-06-18T12:17:51Z
2019-08-15
http://hdl.handle.net/10256/17124
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
Tots els drets reservats info:eu-repo/semantics/openAccess
Mecànica celest
Celestial mechanics
Problema dels cossos múltiples
Many-body problem
On central configurations of the κn-body problem
info:eu-repo/semantics/article info:eu-repo/semantics/submittedVersion peer-reviewed