Oscillatory orbits in the restricted elliptic planar three body problem
PublisherSouthwest Missouri State University
Rights accessOpen Access
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.
CitationGuardia, 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.