2026-04-14T06:33:44Zhttps://recercat.cat/oai/requestoai:recercat.cat:10256/197072024-06-18T12:18:15Zcom_2072_452955com_2072_2054col_2072_453069
RECERCAT
author
Barrabés Vera, Esther
author
Cors Iglesias, Josep Maria
author
Fernandes, A.C.
author
Vidal, Claudio
2024-06-18T12:18:14Z
2024-06-18T12:18:14Z
info:eu-repo/date/embargoEnd/2022-07-102021-07-10
http://hdl.handle.net/10256/19707
We study convexity and symmetry of central configurations in the five body problem when three of the masses ara located at the vertices of an equilateral triangle, that we call Lagrange plus two central configurations. First, we prove that the two bodies out of the vertices of the triangle cannot be placed on certain lines. Next, we give a geometrical characterization of such configurations in the sense as that of Dziobek, and we describe the admissible regions where the two remaining bodies can be placed. Furthermore, we prove that any Lagrange plus two central configuration is concave. Finally, we show numerically the existence of non-symmetric central configurations of the five body problem
Tots els drets reservats info:eu-repo/semantics/openAccess
Mecànica celest
Celestial mechanics
Lagrange, Espais de
Lagrange spaces
Geometria diferencial
Geometry, Differencial
Problema dels cossos múltiples
Many-body problem
Convexity and symmetry of central configurations in the five-body problem: Lagrange plus two
info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion peer-reviewed