Existence of Chaos Associated with Weak Ballistic Capture and Applications
New results are stated to prove that under certain conditions weak capture gives rise to complicated chaotic dynamics due to the existence of a so called hyperbolic invariant set. Included in the dynamics is the existence of permanent capture. Low energy transfers to the moon using weak capture were first operationally demonstrated in 1991.
chaos weak ballistic capture hyperbolicity permanent capture lunar transfer three-body problem