TITLE
Invariant Manifolds, The Spatial Three-Body Problem and Space Mission Design

AUTHORS
G. Gomez
Departament de Matemātica Aplicada i Anālisi
Universitat de Barcelona, 08007 Barcelona, Spain
e-mail: gerard@maia.ub.es

W.S. Koon
Control and Dynamical Systems
California Institute of Technology
MC 107-81, Pasadena, California 91125, USA
e-mail: koon@cds.caltech.edu 

M.W. Lo 
Navigation and Mission Design
Jet Propulsion Laboratory, California Institute of Technology
M/S 301-140L Pasadena, California 91109, USA
e-mail: mwl@hari.jpl.nasa.gov

J.E. Marsden 
Control and Dynamical Systems
California Institute of Technology
MC 107-81, Pasadena, California 91125, USA
e-mail: marsden@cds.caltech.edu

J. Masdemont 
Departament de Matemātica Aplicada I
ETSEIB
Universitat Politčcnica de Catalunya
Diagonal 647, 08028 Barcelona, Spain
e-mail: josep@barquins.upc.es

S.D. Ross
Control and Dynamical Systems
California Institute of Technology
MC 107-81, Pasadena, California 91125, USA
e-mail: shane@cds.caltech.edu

ABSTRACT
The invariant manifold structures of the collinear libration
points for the spatial restricted three-body problem provide the
framework for understanding complex dynamical phenomena from a
geometric point of view. In particular, the stable and unstable
invariant manifold "tubes" associated to libration point orbits are
the phase space structures that provide a conduit for orbits between
primary bodies for separate three-body systems. These invariant
manifold tubes can be used to construct new spacecraft trajectories,
such as a "Petit Grand Tour" of the moons of Jupiter. The current work
extends the results to the spatial case.