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.