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Exchange and capture orbits in the planar restricted parabolic 3-body problem

Autor
Alvarez, M.; Delgado, J.; Cors, J.
Tipus d'activitat
Presentació treball a congrés
Nom de l'edició
IV International Symposium on Hamiltonian Systems and Celestial Mechanics
Any de l'edició
2001
Data de presentació
2001-04
Llibre d'actes
New advances in celestial mechanics and hamiltonian systems: HAMSYS 2001
Pàgina inicial
1
Pàgina final
28
DOI
https://doi.org/10.1007/978-1-4419-9058-7_1 Obrir en finestra nova
URL
http://link.springer.com/book/10.1007/978-1-4419-9058-7 Obrir en finestra nova
Resum
Two attracting bodies m 1,m 2 move in parabolic orbits and a third massless body mo = 0 moves in the plane under the attraction of the primaries. We obtain the equations of motion of the massless particle in a rotating-pulsating coordinate system where the primaries remain fixed. Introducing an appropriate time scaling we obtain two invariant subsystems corresponding to final evolutions as time goes to±8. We show that the set of initial conditions leading to parabolic escape of the infinitesima...
Paraules clau
3-body problem, capture orbit, exchange orbit

Participants