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Trapezoid central configurations

Autor
Corbera, M.; Cors, J.; Llibre, J.; E. Pérez-Chavela
Tipus d'activitat
Article en revista
Revista
Applied mathematics and computation
Data de publicació
2019-04-01
Volum
346
Pàgina inicial
127
Pàgina final
142
DOI
https://doi.org/10.1016/j.amc.2018.10.066 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/125162 Obrir en finestra nova
https://arxiv.org/abs/1712.07155 Obrir en finestra nova
URL
https://www.sciencedirect.com/science/article/abs/pii/S0096300318309329 Obrir en finestra nova
Resum
We classify all planar four–body central configurations where two pairs of the bodies are on parallel lines. Using cartesian coordinates, we show that the set of four–body trapezoid central configurations with positive masses forms a two–dimensional surface where two symmetric families, the rhombus and isosceles trapezoid, are on its boundary. We also prove that, for a given position of the bodies, in some cases a specific order of the masses determines the geometry of the configuration, n...
Paraules clau
4-body problem, Convex central configurations, Trapezoidal central configurartions

Participants

  • Corbera, Montserrat  (autor)
  • Cors Iglesias, Josep Maria  (autor)
  • Llibre Saló, Jaume  (autor)
  • Perez Chavela, Ernesto  (autor)