WANG-SANG KOON AND
SHANE ROSS
Control and Dynamical Systems
Mail Code 107-81
California Institute of Technology
Pasadena, CA 91125, USA
koon@cds.caltech.edu
shane@cds.caltech.edu
Abstract:
We apply dynamical systems techniques to the
problem of heteroclinic connections and resonant
transitions in the restricted three-body problem.
These phenomena have been of concern to areas
such as resonant capture of comets and trajectory
design for newer space missions, like Genesis.
We show that the invariant manifold structures
associated to libration points L1,L2 and
the heteroclinic connections between their
periodic orbits are fundamental tools that aid
in understanding dynamical channels throughout
the solar system.