Marian Gidea, Josep J. Masdemont
Geometry of homoclinic connections in a planar circular restricted three-body problem
(2844K, pdf)
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.