Dynamical Systems, ThreeBody Problem and Space Mission Design
MAJOR RESULTS

Perform a thorough study on dynamical channels
within the threebody context, leading to the foundational paper
on tube dynamics. (pdf)

Offer a dynamical system explanation for the phenomenon of
temporary capture and resonant transition of short period comets.
(pdf)
(pdf)

Use tube dynamics for the design of future space missions, such as
(a) low energy transfer to the Moon, (pdf)
and
(b) low energy transfer between Jovian moons.
(pdf)

Extend the planar results to the spatial case,
receiving an award for
the best paper prize at AIAA Astrodynamics Specialist Conference,
Quebec City, Canada, August 2001 for
the work ``Invariant Manifold, the
Spatial ThreeBody Problem and Space Mission Design.''
(pdf)
(pdf)
 Work on
halo orbit mission correction maneuvers using optimal control.
(pdf)
BOOK
 Koon, W.S., M.W. Lo, J.E. Marsden, S.D. Ross, Dynamical Systems, the ThreeBody Problem and Space Mission Design, in
preparation.
PAPERS
 Transport in Dynamical Astronomy and Multibody Problems, International Journal of Bifurcation and Chaos, 15, 699727. (Dellnitz, M., O. Junge, W.S. Koon, F. Lekien, M.W. Lo, J.E. Marsden, K. Padberg, R. Preis, S.D. Ross, and B. Thiere [2005], pdf)
 Connecting orbits and invariant manifolds in the spatial threebody problem, Nonlinearity, volume 17, issue 5, pages 1571  1606. (Gomez, G., W.S. Koon, M.W. Lo, J.E. Marsden, J. Masdemont and S.D. Ross [2004], pdf)
 Geometric Mechanics and the Dynamics of Asteroid Pairs, New Trends in Astrodynamics and Applications, University of Maryland, College Park. (Koon, W.S., J.E. Marsden, S.D. Ross, M.W. Lo, and D.J. Scheeres [2003], pdf)
 Design of a MultiMoon Orbiter, AAS/AIAA Space Flight Mechanics Meeting, 913 February 2003, Ponce, Puerto Rico, Paper AAS 03143. (Ross, S.D., W.S.Koon, M.W. Lo, and J.E. Marsden [2003], pdf)
 Invariant Manifolds, the Spatial ThreeBody Problem and Petit Grand Tour of Jovian Moons, Libration Point Orbits and Applications (Eds. G Gomez, M.W. Lo and J.J. Masdemont), World Scientific, 2003. (Gomez, G., W.S. Koon, M.W. Lo, J.E. Marsden, J. Masdemont and S.D. Ross [2002], pdf)
 Constructing a Low Energy Transfer between Jovian Moons, Contemporary Mathematics, American Mathematical Society, 292, 129145. (Koon, W.S., M.W. Lo, J.E. Marsden and S.D. Ross [2002], pdf)
 Invariant Manifolds, the Spatial ThreeBody Problem and Space Mission Design, the proceedings of AIAA/AAS Astrodynamics Specialist Meeting, Quebec City, Quebec, Canada, August, 2001. (Gomez, G., W.S. Koon, M.W. Lo, J.E. Marsden, J. Masdemont and S.D. Ross [2001], pdf)
 Low Energy Transfer to the Moon, Celestial Mechanics and Dynamical Astronomy, 81, 6373. (Koon, W. S., M.W. Lo, J. E. Marsden and S.D. Ross [2001], pdf)
 Resonance and Capture of Jupiter Comets, Celestial Mechanics and Dynamical Astronomy, 81, 2738. (Koon, W.S., M.W. Lo, J. E. Marsden and S.D. Ross [2001], pdf)
 Halo Orbit Mission Correction Maneuvers Using Optimal Control, Automatica, 38, 571583. (Serban, R, W.S. Koon, M.W. Lo, J.E. Marsden, L.R. Petzold, S.D. Ross and R.S. Wilson [2001], pdf)
 Heteroclinic Connections between Periodic Orbits and Resonance Transitions in Celestial Mechanics, Chaos, 10, 427469. (Koon, W.S., M.W. Lo, J.E. Marsden and S.D. Ross [2000], pdf)
 Shoot the Moon, AAS/AIAA Astrodynamics Specialist Conference, Florida, 2000, AAS 00166. (Koon, W.S., M.W. Lo, J.E. Marsden and S.D. Ross [2000], pdf)
 Optimal Control for Halo Orbit Missions, Proc. IFAC Workshop, Princeton University, NJ, 16. (Serban, R, W.S. Koon, M.W. Lo, J.E. Marsden, L.R. Petzold, S.D. Ross and R.S. Wilson [2000], pdf)
 The Genesis Trajectory and Heteroclinic Connections, AAS/AIAA Astrodynamics Specialist Conference, Girdwood, Alaska, 1999, AAS99451. (Koon, W.S., M.W. Lo, J.E. Marsden and S.D. Ross [1999], pdf)
 Dynamical systems, the Threebody Problem and Space Mission Design, Proc. Equadiff99, Berlin, Germany. (Koon, W.S., M.W. Lo, J.E. Marsden and S.D. Ross [1999], pdf)
PRESENTATIONS
 Design of Low Energy Space Missions using Dynamical Systems Theory, invited speaker at the CIMMS Workshop on Engineering in the Space Sciences: Dynamics, Computations, Communications, and Autonomy,October 78, 2004, Caltech. (pdf)
 Tube Dynamics, Lobe Dynamics, and a Low Energy Tour of Jupiter's Moons, invited speaker at the International Symposium on Geometrical Structures of Phase Space in MultiDimensional Chaos: Applications to Chemical Reaction Dynamics in Complex Systems, October 2003, Kyoto, Japan.
(pdf)
 Invariant Manifolds, the Spatial ThreeBody Problem and Petit Grand Tour of Jovian Moons, invited speaker at the International Conference on Libration Point Orbits and Applications, June 2002, Parador d'Aiguablava, Spain. (pdf)
 J2 Dynamics and Formation Flight, invited speaker at the Invariant and SymmetryPreserving Integrators for NBody Simulation, University of Leicester, April 2526, 2002.
 Invariant Manifolds, the ThreeBody Problem and Low Energy Transfer to the Moon, invited speaker at the Astrodynamics Workshop, University of Surrey, April 2223, 2002.
 Invariant Manifolds, the ThreeBody Problem and a Petit Grand Tour of Jovian Moons, invited speaker at the Workshop on Classical NBody Systems and Applications, Mathematics Research Center, University of Warwick, April 1420, 2002.
 Invariant Manifolds, the ThreeBody Problem and a Petit Grand Tour of Jovian Moons, invited speaker at the Workshop on Dynamical Systems in Celestial Mechanics and Climate Dynamics, Institute for Mathematics and its Applications,University of Minnesota, October 29November 2, 2001.
 J2 Dynamics and Formation Flight, AIAA Guidance, Navigation, and Control Conference, Montreal, Quebec, Canada, August, 2001. (pdf)
 Invariant Manifolds, the Spatial ThreeBody Problem and Space Mission Design, AIAA/AAS Astrodynamics Specialist Meeting, Quebec City, Quebec, Canada, August, 2001. (pdf)
 Low Energy Transfer to the Moon, invited speaker at the meeting of the American Astronomical Society  Division on Dynamical Astronomy, April 2225, 2001, Houston, Texas.(pdf)
 Comets, Nonlinear Dynamics and Space Mission Design, Applied Mathematics Seminar, Department of Mathematics, University of California at Berkeley, February 27, 2001.
 Halo Orbit Mission Correction Maneuvers Using Optimal Control, Applied Mathematics Seminar, Department of Applied Mathematics, Hong Kong Polytechnic University, September 8, 2000.
 Dynamical Systems, ThreeBody Problem and Space Mission Design, Physics Seminar, Department of Physics, Hong Kong Baptist University, September 7, 2000.
 Dynamical Systems, ThreeBody Problem and Space Mission Design, Mathematics Colloquium, Department of Mathematics, Hong Kong University of Science and Techonology, September 4, 2000.
 Optimal Control for Halo Orbit Missions, SIAM Pacific Rim Dynamical Systems Conference, August 913, 2000, Maui, Hawaii, USA.
(pdf) (avi).
 Dynamical Systems, ThreeBody Problem and Space Mission Design, invited speaker at USEuropean Celestial Mechanics Workshop, July 37, 2000, Poznan, Poland. (pdf) (mpg1) (mpg2).
 Comets, Nonlinear Dynamics and Space Mission Design, Applied Mathematics Seminar, Department of Mathematics, University of California at Davis, June 1999.
 Heteroclinic Connections between Periodic Orbits and Resonance Transitions in Celestial Mechanics, Fifth SIAM Conference on Application of Dynamcial Systems, May 2327, 1999, Snowbird, Utah, USA. (pdf) (mpg1) (mpg2) (mpg3).
 Heteroclinic Connections between Periodic Orbits and Resonance Transitions in Celestial Mechanics, Control and Dynamical Systems Seminar, February 1999, California Institute of Technology.