Dynamical Systems, Three-Body Problem and Space Mission Design

• Perform a thorough study on dynamical channels within the three-body 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 Three-Body Problem and Space Mission Design.'' (pdf) (pdf)
  
• Work on halo orbit mission correction maneuvers using optimal control. (pdf)
  
  

• Koon, W.S., M.W. Lo, J.E. Marsden, S.D. Ross, Dynamical Systems, the Three-Body Problem and Space Mission Design, in preparation.
  
  

• Transport in Dynamical Astronomy and Multibody Problems, International Journal of Bifurcation and Chaos, 15, 699-727. (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 three-body 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 Multi-Moon Orbiter, AAS/AIAA Space Flight Mechanics Meeting, 9-13 February 2003, Ponce, Puerto Rico, Paper AAS 03-143. (Ross, S.D., W.S.Koon, M.W. Lo, and J.E. Marsden [2003], pdf)
  
  
• Invariant Manifolds, the Spatial Three-Body 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, 129-145. (Koon, W.S., M.W. Lo, J.E. Marsden and S.D. Ross [2002], pdf)
  
  
• Invariant Manifolds, the Spatial Three-Body 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, 63-73. (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, 27-38. (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, 571-583. (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, 427-469. (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 00-166. (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, 1-6. (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, AAS99-451. (Koon, W.S., M.W. Lo, J.E. Marsden and S.D. Ross [1999], pdf)
  
  
• Dynamical systems, the Three-body Problem and Space Mission Design, Proc. Equadiff99, Berlin, Germany. (Koon, W.S., M.W. Lo, J.E. Marsden and S.D. Ross [1999], pdf)
  
  

• 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 7-8, 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 Multi-Dimensional Chaos: Applications to Chemical Reaction Dynamics in Complex Systems, October 2003, Kyoto, Japan. (pdf)
  
  
• Invariant Manifolds, the Spatial Three-Body 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 Symmetry-Preserving Integrators for N-Body Simulation, University of Leicester, April 25-26, 2002.
  
  
• Invariant Manifolds, the Three-Body Problem and Low Energy Transfer to the Moon, invited speaker at the Astrodynamics Workshop, University of Surrey, April 22-23, 2002.
  
  
• Invariant Manifolds, the Three-Body Problem and a Petit Grand Tour of Jovian Moons, invited speaker at the Workshop on Classical N-Body Systems and Applications, Mathematics Research Center, University of Warwick, April 14-20, 2002.
  
  
• Invariant Manifolds, the Three-Body 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 29-November 2, 2001.
  
  
• J2 Dynamics and Formation Flight, AIAA Guidance, Navigation, and Control Conference, Montreal, Quebec, Canada, August, 2001. (pdf)
  
  
• Invariant Manifolds, the Spatial Three-Body 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 22-25, 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, Three-Body Problem and Space Mission Design, Physics Seminar, Department of Physics, Hong Kong Baptist University, September 7, 2000.
  
  
• Dynamical Systems, Three-Body 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 9-13, 2000, Maui, Hawaii, USA. (pdf) (avi).
  
  
• Dynamical Systems, Three-Body Problem and Space Mission Design, invited speaker at US-European Celestial Mechanics Workshop, July 3-7, 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 23-27, 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.