Loading...
Loading...

Go to the content (press return)

Trapezoid central configurations

Author
Corbera, M.; Cors, J.; Llibre, J.; E. Pérez-Chavela
Type of activity
Journal article
Journal
Applied mathematics and computation
Date of publication
2019-04-01
Volume
346
First page
127
Last page
142
DOI
https://doi.org/10.1016/j.amc.2018.10.066 Open in new window
Repository
http://hdl.handle.net/2117/125162 Open in new window
https://arxiv.org/abs/1712.07155 Open in new window
URL
https://www.sciencedirect.com/science/article/abs/pii/S0096300318309329 Open in new window
Abstract
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...
Citation
Corbera, M., Cors, J., Llibre, J., E. P. Trapezoid central configurations. "Applied mathematics and computation", 1 Abril 2019, vol. 346, p. 127-142.
Keywords
4-body problem, Convex central configurations, Trapezoidal central configurartions

Participants

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