Astronomy and Astrophysics – Astronomy
Scientific paper
Jan 2012
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2012hell.conf...22c&link_type=abstract
10th Hellenic Astronomical Conference, Proceedings of the conference held at Ioannina, Greece, 5-8 September 2011. Edited by Io
Astronomy and Astrophysics
Astronomy
Scientific paper
We consider the circular restricted three-body problem including the effect of the larger primary's oblateness and study periodic and chaotic motions of the third body. The grid research technique is applied to obtain a global solution in the space of initial conditions, which consists of symmetric periodic orbits up to a certain multiplicity, as well as escape and collision orbits. Standard differential correction procedures are then applied in order to compute some family characteristics accurately. To study the chaotic motion we use the Poincare surface of section technique and we extend to three-dimensions by appropriately perturbing the initial conditions of an orbit on the surface of section. The regular or chaotic nature of a 3D orbit is found by computing the maximum Lyapunov characteristic exponent. An application for the Saturn-Titan system is also made.
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