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Oscillatory orbits in the restricted elliptic planar three body problem

Author
Guardia, M.; Martin, P.; Sabbagh, L.; Martinez-seara, M.
Type of activity
Journal article
Journal
Discrete and continuous dynamical systems. Series A
Date of publication
2017-01-01
Volume
37
Number
1
First page
229
Last page
256
DOI
https://doi.org/10.3934/dcds.2017009 Open in new window
Repository
http://hdl.handle.net/2117/97768 Open in new window
https://arxiv.org/abs/1506.04551 Open in new window
URL
http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=13287 Open in new window
Abstract
The restricted planar elliptic three body problem models the motion of a massless body under the Newtonian gravitational force of two other bodies, the primaries, which evolve in Keplerian ellipses. A trajectory is called oscillatory if it leaves every bounded region but returns infinitely often to some fixed bounded region. We prove the existence of such type of trajectories for any values for the masses of the primaries provided the eccentricity of the Keplerian ellipses is small.
Citation
Guardia, M., Martín, P., Sabbagh, L., Martinez-seara, Tere. Oscillatory orbits in the restricted elliptic planar three body problem. "Discrete and Continuous Dynamical Systems- Series A", 1 Gener 2017, vol. 37, núm. 1, p. 229-256.
Group of research
SD - UPC Dynamical Systems

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