Temporary Satellite Capture of Short-Period Jupiter Family Comets from the Perspective of Dynamical Systems

The Journal of the Astronautical Sciences - Tập 49 Số 4 - Trang 539-557 - 2001
Kathleen C. Howell1, Belinda G. Marchand1, Martin W. Lo2
1School of Aeronautics and Astronautics, Purdue University, West Lafayette, USA
2Jet Propulsion Laboratory, California Institute of Technology, Pasadena, USA

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39P/OTERMA. Available at: http://www.comets.amsmeteors.org/comets/pcomets/039p.html, April 27th, 1995.

KAZIMIRCHAK-POLONSKAYA, E. I. “The Major Planets as Powerful Transformers of Cometary Orbits,” The Motion, Evolution of Orbits, and Origin of Comets, International Astronomical Union: Symposium No. 45, 1972, pp. 373–397.

CARUSI, A. and POZZI, F. “Planetary Close Encounters Between Jupiter and About 3000 Fictitious Minor Bodies,” The Moon and the Planets, Holland: D. Reidel Publishing Company, 1978, Vol. 19, pp. 71–87.

CARUSI, A. and VALSECCHI, G. B. “Numerical Simulations of Close Encounters Between Jupiter and Minor Bodies,” Asteroids, Edited by Tom Gehrels, The University of Arizona Press, 1979, pp. 391–415.

CARUSI, A. and VALSECCHI, G. B. “Planetary Close Encounters: Importance of Nearly Tangent Orbits,” The Moon and the Planets, Holland: D. Reidel Publishing Company, 1980, Vol. 22, pp. 113–124.

CARUSI, A. and VALSECCHI, G. B. “Temporary Satellite Captures of Comets by Jupiter,” Astronomy and Astrophysics, Vol. 94, 1981, pp. 226–228.

CARUSI, A., KRESÁK, L., and VALSECCHI, G. B. “Perturbations by Jupiter of a Chain of Objects Moving in the Orbit of Comet Oterma,” Astronomy and Astrophysics, Vol. 99, 1981, pp. 262–269.

CARUSI, A., PEROZZI, E., and VALSECCHI, G. B. “Low Velocity Encounters of Minor Bodies with the Outer Planets,” Dynamical Trapping and Evolution in the Solar System, Holland: D. Reidel Publishing Company, 1983, pp. 377–395.

CARUSI, A., KRESÁK, L., PEROZZI, E., and VALSECCHI, G. B. “First Results of the Integration of Motion of Short-Period Comets Over 800 Years,” Dynamics of Comets: Their Origin and Evolution—Edited by A. Carusi and G. B. Valsecchi, Holland: D. Reidel Publishing Company, 1985, pp. 319–340.

CARUSI, A. and VALSECCHI, G. B. “Dynamics of Comets,” Chaos, Resonance, and Collective Dynamical Phenomena in the Solar System—Proceedings of the 152nd Symposium of the International Astronomical Union, July 15–19, 1991, pp. 255–268.

HOREDT, G. P. “Capture of Planetary Satellites,” The Astronomical Journal, Vol. 81, No. 8, August 1976, pp. 675–678.

HEPPENHEIMER, T. A. “On the Presumed Capture Origin of Jupiter’s Outer Satellites,” Icarus, Vol. 24, 1975, pp. 172–180.

HEPPENHEIMER, T. A. and PORCO, C. “New Contributions to the Problem of Capture,” Icarus, Vol. 30, 1977, pp. 385–401.

LO, M. W. and ROSS, S. D. “SURFing the Solar System: Invariant Manifolds and the Dynamics of the Solar System,” JPL IOM 312/97, 2–4, 1997.

KOON, W. S., LO, M.W., MARSDEN, J. E., and ROSS, S. D. “Heteroclinic Connections Between Periodic Orbits and Resonance Transitions in Celestial Mechanics,” presented to the Society for Industrial and Applied Mathematics (SIAM), Snowbird, Utah, May 1999.

WIGGINS, S. Introduction to Applied Nonlinear Dynamical Systems and Chaos, New York: Springer-Verlag, 1990.

GUCKENHEIMER, J. and HOLMES, P. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, New York: Springer-Verlag, 1983.

NAYFEH, A. H. and MOOK, D. T. Nonlinear Oscillations, New York: John Wiley and Sons, 1995.

PERKO, L. Differential Equations and Dynamical Systems, New York: Springer-Verlag, 1996.

HALE, J. K. and KOÇAK, H. Dynamics and Bifurcations, New York: Springer-Verlag, 1991.

NAYFEH, A. H. and BALACHANDRAN, B. Applied Nonlinear Dynamics, New York: John Wiley and Sons, 1995.

KHALIL, H. K. Nonlinear Systems, New Jersey: Prentice Hall, 1996.

PARKER, T. S. and CHUA, L. O. Practical Numerical Algorithms for Chaotic Systems, New York: Springer-Verlag, 1989.

SZEBEHELY, V Theory of Orbits: The Restricted Problem of Three Bodies, New York: Academic Press, 1967.

HOWELL, K. C. and PERNICKA, H. J. “Numerical Determination of Lissajous Trajectories in the Restricted Three-Body Problem,” Celestial Mechanics, Vol. 41, 1988, pp. 107–124.

HOWELL, K. C., MAINS, D. L., and BARDEN, B. T. “Transfer Trajectories from Earth Parking Orbits to Sun-Earth Halo Orbits,” AAS Paper 94-160, AAS/AIAA Spaceflight Mechanics Conference, Cocoa Beach, Florida, February 14–16, 1994.

HOWELL, K. C., BARDEN, B. T., and WILSON, R. S. “Trajectory Design Using a Dynamical Systems Approach with Applications to GENESIS,” AAS Paper 97-709, AAS/AIAA Astrodynamics Specialists Conference, Sun Valley, Idaho, August 4–7, 1997.

GÓMEZ, G., JORBA, A., MASDEMONT, J., and SIMÓ, C. “Final Report: Study Refinement of Semi-Analytical Halo Orbit Theory,” ESOC Contract Report, Technical Report 8625/89/D/ MD(SC), Barcelona, Spain, April 1991.