06-22 Marian Gidea, Josep J. Masdemont
Geometry of homoclinic connections in a planar circular restricted three-body problem (2844K, pdf) Jan 25, 06
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Abstract. The stable and unstable invariant manifolds associated with Lyapunov orbits about the libration point $L_1$ between the primaries in the planar circular restricted three-body problem with equal masses are considered. The behavior of the intersections of these invariant manifolds for values of the energy between the one of $L_1$ and that of the other collinear libration points $L_2$ and $L_3$ is studied using symbolic dynamics. Homoclinic orbits are classified according to the number of turns about the primaries.

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