Geometry of homoclinic Connections in a Planar Circular Restricted Three-Body Problem

Abstract. The stable and unstable invariant manifolds associated with Lyapunov orbits about the libration point L1 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 L1 and that of the other collinear libration points L2 and L3 is studied using symbolic dynamics. Homoclinic orbits are classified according to the number of turns about the primaries.

• Type: Journal
• Year: 2007
• Where: IJBC
• Authors: Marian Gidea, Josep J. Masdemont
• Keywords: Circular Restricted Three-body Problem, IJBC 2007, Invariant Manifolds, Unstable Invariant Manifolds