Escaping trajectories in the Hill three-body problem and applications

Journal of Guidance, Control, and Dynamics

Volumn 26, Issue 2, 2003, Pages 224-232

  Villac, B F ^a   Scheeres, D J ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; NUMERICAL ANALYSIS; NUMERICAL METHODS; ORBITAL TRANSFER; SPACE RESEARCH;

PLANETARY SATELLITE ORBITERS; POINCARE MAP;

SATELLITES;

EID: 0037352112     PISSN: 07315090     EISSN: 15333884     Source Type: Journal    
DOI: 10.2514/2.5062     Document Type: Article

References (12)

1. Conley, C. C., "Low Energy Transit Orbits in the Restricted Three-Body Problem," SIAM Journal of Applied Mathematics, Vol. 16, No. 4, 1968, pp. 732-746.
2. Belbruno, E. A., "Sun-Perturbed Earth-to-Moon Transfers with Ballistic Capture," Journal of Guidance, Control, and Dynamics, Vol. 16, No. 4, 1993, pp. 770-775.
3. Koon, W. S., Lo, M. W., Marsden, J. E., and Ross, S. D., "Heteroclinic Connections Between Periodic Orbits and Resonance Transitions in Celestial Mechanics," Chaos, Vol. 10, No. 2, 2000, pp. 427-469.
4. Koon, W. S., Lo, M. W., Marsden, J. E., and Ross, S. D., "Low Energy Transfer to the Moon," Celestial Mechanics and Dynamical Astronomy, Vol. 81, No. 1, 2001, pp. 63-73.
5. Hénon, M., and Petit, J. M., "Series Expansions for Encounter-Type Solutions of Hill's Problem," Celestial Mechanics and Dynamical Astronomy, Vol. 38, No. 1, 1986, pp. 67-100.
6. Hill, G. W., "Researches in the Lunar Theory," American Journal of Mathematics, Vol. 1, No. 1, 1878, pp. 5-26.
7. Scheeres, D. J., Guman, M. D., and Villac, B. F., "Stability Analysis of Planetary Satellite Orbiters: Application to the Europa Orbiter," Journal of Guidance, Control, and Dynamics, Vol. 24, No. 4, 2001, pp. 778-787.
8. Hénon, M., "Numerical Exploration of the Restricted Problem. V. Hill's Case: Periodic Orbits and Their Stability," Astronomy and Astrophysics, Vol. 1, No. 2, 1969, pp. 223-238.
9. Montenbruck, O., and Gill, E., Satellite Orbits: Models, Methods, and Applications, Springer-Verlag, Berlin, 2000, p. 55.
10. Arnol'd, V. I., Dynamical Systems III, Encyclopedia of Mathematical Sciences, Springer-Verlag, Berlin, 1988, pp. 72-75.
11. Seidelmann, Kenneth P., Explanatory Supplement of the Astronomical Almanac, Univ. Science Books, Mill Valley, CA, 1992, pp. 708-711.
12. Wiggins, S., Introduction to Applied Nonlinear Dynamical Systems and Chaos, Springer-Verlag, New York, 1990, pp. 64-192.