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Coorbital periodic orbits in the three body problem

Autor
Cors, J.; Hall, G.
Tipus d'activitat
Article en revista
Revista
SIAM journal on applied mathematics
Data de publicació
2003-05
Volum
2
Número
2
Pàgina inicial
219
Pàgina final
237
DOI
https://doi.org/10.1137/S1111111102411304 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/21120 Obrir en finestra nova
URL
http://www.siam.org/journals/siads/2-2/41130.html Obrir en finestra nova
Resum
We consider the dynamics of coorbital motion of two small moons about a large planet which have nearly circular orbits with almost equal radii. These moons avoid collision because they switch orbits during each close encounter. We approach the problem as a perturbation of decoupled Kepler problems as in Poincar ́ e’s periodic orbits of the first kind. The perturbation is large but only in a small region in the phase space. We discuss the relationship required among the small quantities (radia...
Citació
Cors, J.; Hall, G. Coorbital periodic orbits in the three body problem. "SIAM journal on applied mathematics", Maig 2003, vol. 2, núm. 2, p. 219-237.
Paraules clau
coorbital motion, periodic orbits of the first kind, three body problem

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