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Ejection-collision orbits in the symmetric collinear four–body problem

Autor
Alvarez-Ramírez, M.; Barrabés, E.; Medina, M.; Olle, M.
Tipus d'activitat
Article en revista
Revista
Communications in nonlinear science and numerical simulation
Data de publicació
2019-06-15
Volum
71
Pàgina inicial
82
Pàgina final
82
DOI
https://doi.org/10.1016/j.cnsns.2018.10.026 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/126895 Obrir en finestra nova
URL
https://www.sciencedirect.com/science/article/pii/S1007570418303484?via%3Dihub Obrir en finestra nova
Resum
In this paper, we consider the collinear symmetric four-body problem, where four masses and a¿>¿0, are aligned in this order and move symmetrically about their center of mass. We introduce regularized variables to deal with binary collisions as well as McGehee coordinates to study the quadruple collision manifold for a negative value of the energy. The paper is mainly focused on orbits that eject from (or collide to) quadruple collision. The problem has two hyperbolic equilibrium points, loca...
Citació
Alvarez-Ramírez, M., Barrabés, E., Medina, M., Olle, M. Ejection-collision orbits in the symmetric collinear four–body problem. "Communications in nonlinear science and numerical simulation", 15 Juny 2019, vol. 71, p. 82.
Paraules clau
Binary collisions, Collinear four-body problem, Ejection/collision orbits, Escape criteria, Invariant manifolds
Grup de recerca
SD - Sistemes Dinàmics de la UPC

Participants