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The computation of finite-time Lyapunov exponents on unstructured meshes and for non-Euclidean manifolds, Chaos: An Interdisciplinary Journal of Nonlinear Science, in press (December 2009, special issue on Lagrangian coherent structures).
(F. Lekien and S.D. Ross [2009])
| (movie)

Detecting dynamical boundaries from kinematic data in biomechanics, Chaos: An Interdisciplinary Journal of Nonlinear Science, in press (December 2009, special issue on Lagrangian coherent structures).
(S.D. Ross, M.L. Tanaka, and C. Senatore [2009])
(abstract) | (pdf)

Detection and characterization of transport barriers in complex flows via ridge extraction of the finite time Lyapunov exponent field, submitted
(C. Senatore and S.D. Ross [2009])
(abstract) | (movie)

Mathematical modeling and simulation of seated stability, Journal of Biomechanics, accepted.
(M.L. Tanaka, S.D. Ross and M.A. Nussbaum [2009])
(abstract) | (pdf) | (movies)

Optimal capture trajectories using multiple gravity assists, Communications in Nonlinear Science and Numerical Simulations 14(12), 4168-4175. doi:10.1016/j.cnsns.2008.12.009
(S. Jerg, O. Junge, S.D. Ross [2009])
(abstract) | (pdf) | (journal permalink) | (software)

Evaluation of the threshold of stability for the human spine, Journal of Biomechanics 42(8), 1017-1022. doi:10.1016/j.jbiomech.2009.02.008
(M.L. Tanaka, M.A. Nussbaum and S.D. Ross [2009])
(abstract) | (pdf) | (journal permalink)

Separatrices and basins of stability from time series data: an application to biodynamics, Nonlinear Dynamics 58(1-2), 1-21. doi:10.1007/s11071-008-9457-9
(M.L. Tanaka and S.D. Ross [2009])
(abstract) | (pdf) | (movies) | (journal permalink) | (software)

Designing trajectories in a planet-moon environment using the controlled Keplerian map, Journal of Guidance, Control, and Dynamics 32(2), 436-443. doi:10.2514/1.38320
(P. Grover and S.D. Ross [2009])
(abstract) | (pdf) | (movies) | (journal permalink) | (software)

Revisiting the stability of 2D passive biped walking: Local behavior, Physica D: Nonlinear Phenomena 237(23), 3038-3045. doi:10.1016/j.physd.2008.07.008
(J.A. Norris, A.P. Marsh, K.P. Granata, S.D. Ross [2008])
(abstract) | (pdf) | (movies) | (journal permalink)

Optimal capture trajectories using multiple gravity assists, 2nd Conference on Nonlinear Science and Complexity, July 28-31, 2008, Porto, Portugal.
(S.D. Ross, S. Jerg, O. Junge [2008])
(abstract) | (pdf) | (software)

Particle segregation by Stokes number for small neutrally buoyant spheres in a fluid, Physical Review E 78, 036308. doi:10.1103/PhysRevE.78.036308
(P. Tallapragada and S.D. Ross [2008])
(abstract) | (pdf) | (movies) | (journal permalink)

Locating Separatrices And Basins Of Stability In Biodynamic Systems, ASME 2008 Summer Bioengineering Conference, SBC2008-193215.
(M. Tanaka and S.D. Ross [2008])
(extended abstract)

Fuel-efficient navigation in complex flows, Proc. of 2008 American Control Conference, 1244-1248.
(C. Senatore and S.D. Ross [2008])
(abstract) (pdf) | (movies) | (paper permalink)

Designing trajectories in a planet-moon environment using the controlled Keplerian map, 18th AAS/AIAA Space Flight Mechanics Meeting, Galveston, Texas
(P. Grover and S.D. Ross [2008])
(pdf) | (software)

Fuel-optimal trajectories in a planet-moon environment using multiple gravity assists, Proc. of 2007 International Symposium on Space Flight Dynamics.
(S.D. Ross and P. Grover [2007])
(abstract) | (pdf) | (software)

Multiple gravity assists, capture, and escape in the restricted three-body problem, SIAM Journal on Applied Dynamical Systems 6(3), 576-596.
(S.D. Ross and D.J. Scheeres [2007])
(abstract) | (pdf) | (related talk) | (journal permalink) | (software)

Positive feedback in powered exoskeletons: improved metabolic efficiency at the cost of reduced stability?, Proc. of the ASME International Design Engineering Technical Conference & Computers and Information in Engineering Conference, Las Vegas, NV, Sept. 4-7, 2007. Paper DETC2007-35657.
(J.A. Norris, A.P. Marsh, K.P. Granata, S.D. Ross [2007])
(abstract) | (pdf)

Chaotic advection in the restricted four-vortex problem on a sphere, Physica D: Nonlinear Phenomena 223(1), 36-53.
(P.K. Newton and S.D. Ross [2006])
(abstract) | (pdf) | (journal permalink)

Optimal flapping and rowing strokes for self-propulsion in a perfect fluid, Proc. of 2006 American Control Conference, 4118-4122.
(S.D. Ross [2006])
(abstract) | (pdf) | (movies) | (talk) | (paper permalink)

The interplanetary transport network, American Scientist 94(3), 230-237.
(S.D. Ross [2006])
(abstract) | (journal permalink) | email for more info

Application of tube dynamics to non-statistical reaction processes, Few-Body Systems 38, 167-172.
(F. Gabern, W.S. Koon, J.E. Marsden, S.D. Ross and T. Yanao [2006])
(abstract) | (pdf) | (journal permalink) | (software)

New methods in celestial mechanics and mission design, Bulletin of the American Mathematical Society 43(1), 43-73.
(J.E. Marsden and S.D. Ross [2006])
(abstract) | (pdf) | (journal permalink) | (software)

Theory and computation of non-RRKM lifetime distributions and rates in chemical systems with three or more degrees of freedom, Physica D: Nonlinear Phenomena 211(3-4), 391-406.
(F. Gabern, W.S. Koon, J.E. Marsden and S.D. Ross [2005])
(abstract) | (pdf) | (journal permalink)

Transport of Mars-crossing asteroids from the quasi-Hilda region, Physical Review Letters 94, 231102.
(Dellnitz, M., O. Junge, M.W. Lo, J.E. Marsden, K. Padberg, R. Preis, S.D. Ross and B. Thiere [2005])
(abstract) | (pdf) | (journal permalink)

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])
(abstract) | (pdf) | (journal permalink)

Connecting orbits and invariant manifolds in the spatial restricted three-body problem, Nonlinearity 17, 1571-1606.
(Gomez, G., W.S. Koon, M.W. Lo, J.E. Marsden, J. Masdemont and S.D. Ross [2004])
(abstract) | (pdf) | (related talk) | (journal permalink)

Cylindrical manifolds and tube dynamics in the restricted three-body problem, Ph.D. thesis, California Institute of Technology.
(Ross, S.D. [2004])
(abstract) | (pdf) | (related talk) | (thesis permalink) | (software) | (book)

Geometric mechanics and the dynamics of asteroid pairs, Annals of the New York Academy of Science 1017, 11-38.
(Koon, W.S., J.E. Marsden, S.D. Ross, M.W. Lo, and D.J. Scheeres [2004])
(abstract) | (pdf) | (journal permalink)

Application of dynamical systems theory to a very low energy transfer, AAS/AIAA Space Flight Mechanics Conference, Maui, Hawaii, Paper AAS 04-289
(Ross, S.D, W.S. Koon, M.W. Lo, and J.E. Marsden [2004])
(abstract) | (pdf) | (movies: intermoon transfer)

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])
(abstract) | (pdf) | movies: inter-moon transfer | Petit grand tour | Earth to Moon

Statistical theory of interior-exterior transition and collision probabilities for minor bodies in the solar system, Libration Point Orbits and Applications (Eds. G Gomez, M.W. Lo and J.J. Masdemont), World Scientific, 2003, pp. 637-652.
(Ross, S.D. [2003]).
(abstract) | (pdf)

Statistical theory of asteroid escape rates, Physical Review Letters 89(1), 011101.
(Jaffe, C., S. D. Ross, M. W. Lo, J. Marsden, D. Farrelly, and T. Uzer [2002])
(abstract) | (pdf) | (journal permalink) | (Phys. Rev. Focus article)

Constructing a low energy transfer between Jovian moons, Contemporary Mathematics 292, 129-145.
(Koon, W.S., M.W. Lo, J.E. Marsden and S.D. Ross [2002])
(abstract) | (pdf)

Halo orbit mission correction maneuvers using optimal control, Automatica 38(4), 571-583.
(Serban, R., W.S. Koon, M.W. Lo, J.E. Marsden, L.R. Petzold, S.D. Ross and R.S. Wilson [2002])
(abstract) | (pdf) | (movies)

Low-Energy Transfer from Near-Earth to Near-Moon Orbit, NASA Tech Brief 26(3).
(Koon, W.S., M.W. Lo, J.E. Marsden and S.D. Ross [2002])
(abstract) | (pdf) | (movies)

The Lunar L1 Gateway: Portal to the Stars and Beyond, AIAA Space 2001 Conference, Albuquerque, New Mexico, 2001.
(Lo, M.W. and S.D. Ross [2001])
(abstract) | (pdf) | (movies)

Near-Earth Asteroid Mining, Caltech Internal Report
(Ross, S.D. [2001])
(abstract) | (pdf)

Nuclear Thermal Rockets: The Physics of the Fission Reactor, Caltech Internal Report
(Ross, S.D. [2001])
(abstract) | (pdf)

Invariant manifolds, the spatial three-body problem and space mission design, AAS/AIAA Astrodynamics Specialist Conference, Quebec City, Canada, 2001.
(Gomez, G., W.S. Koon, M.W. Lo, J.E. Marsden, J. Masdemont, and S.D. Ross [2001])
(abstract) | (pdf) | (movies) | Chosen as Best Paper of the Conference

Resonance and capture of Jupiter comets, Celestial Mechanics and Dynamical Astronomy 81(1-2), 27-38.
(Koon, W.S., M.W. Lo, J.E. Marsden and S.D. Ross [2001])
(abstract) | (pdf) | (comet movies)

Low energy transfer to the moon, Celestial Mechanics and Dynamical Astronomy 81(1-2), 63-73.
(Koon, W.S., M.W. Lo, J.E. Marsden and S.D. Ross [2001])
(abstract) | (pdf) | (movies)

Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics, Chaos: An Interdisciplinary Journal of Nonlinear Science, 10(2), 427-469.
(Koon, W.S., M.W. Lo, J.E. Marsden and S.D. Ross [2000])
(abstract) | (pdf) | (journal permalink) | (comet movies) | (Jupiter tour movies) | (software) | (book)

Dynamical systems, the three-body problem and space mission design, International Conference on Differential Equations, (Eds. B. Fiedler, K. Groger and J. Sprekels), World Scientific, 2000, pp. 1167-1181.
(Koon, W.S., M.W. Lo, J.E. Marsden and S.D. Ross [2000])
(pdf)

Shoot the Moon, Spaceflight Mechanics 2000, AAS Vol. 105, Part II, 1017-1030.
(Koon, W.S., M.W. Lo, J.E. Marsden and S.D. Ross [2000])
(abstract) | (pdf) | (movies)

Optimal control for halo orbit missions, Proceedings of IFAC Workshop, Princeton University, New Jersey, 2000, 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, Astrodynamics 1999, AAS Vol. 103, Part III, 2327-2343.
(Koon, W.S., M.W. Lo, J.E. Marsden and S.D. Ross [1999])
(pdf)

Low energy interplanetary transfers using invariant manifolds of L1, L2 and halo orbits, AAS/AIAA Space Flight Mechanics Meeting, Monterey, California, 1998, Paper AAS 98-136.
(Lo, M.W. and S.D. Ross [1998])
(abstract) | (pdf) | (Space Flight Mechanics 1998, vol. 99)

Surfing the solar system: invariant manifolds and the dynamics of the solar system, JPL IOM 312/97, 2-4.
(Lo, M.W. and S.D. Ross [1997])

Surfing the interplanetary tides, Bulletin of the American Astronomical Society, 29(3), 1021.
(Lo, M.W. and S.D. Ross [1997])
(abstract) | (pdf)

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