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Dynamics of the parabolic restricted three-body problem

Author
Barrabés, E.; Cors, J.; Olle, M.
Type of activity
Journal article
Journal
Communications in nonlinear science and numerical simulation
Date of publication
2015-12-01
Volume
29
Number
1-3
First page
400
Last page
415
DOI
https://doi.org/10.1016/j.cnsns.2015.05.025
Project funding
DINAMICA ASOCIADA A CONEXIONES ENTRE OBJETOS INVARIANTES. APLICACIONES A ASTRODINAMICA, NEUROCIENCIA Y OTROS CAMPOS
Dinámica asociada a conexiones entre objetos invariantes. Aplicaciones a astrodinámica, neurociencia y otros campos
Repository
http://hdl.handle.net/2117/78941
Abstract
The main purpose of the paper is the study of the motion of a massless body attracted, under the Newton's law of gravitation, by two equal masses moving in parabolic orbits all over in the same plane, the planar parabolic restricted three body problem. We consider the system relative to a rotating and pulsating frame where the equal masses (primaries) remain at rest. The system is gradient like and has exactly ten hyperbolic equilibrium points lying on the boundary invariant manifolds correspond...
Citation
Barrabés, E., Cors, J., Olle, M. Dynamics of the parabolic restricted three-body problem. "Communications in nonlinear science and numerical simulation", 01 Desembre 2015, vol. 29, núm. 1-3, p. 400-415.
Keywords
Final evolutions, Global dynamics, Invariant manifolds, Parabolic restricted three-body problem
Group of research
SD - UPC Dynamical Systems