- 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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