Geometric analysis of free-return trajectories following a gravity-assisted flyby

Journal of Spacecraft and Rockets

Volumn 42, Issue 1, 2005, Pages 138-151

  Russell, Ryan P ^a,b   Ocampo, Cesar A ^a,b  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^b W R Woolrich Laboratories   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

GRAVITATION; NUMERICAL ANALYSIS; SPACE RESEARCH; SPACECRAFT; VECTORS; WAKES;

FREE-RETURN TRAJECTORIES; GEOMETRIC ANALYSIS; GRAVITY-ASSISTED FLYBY; HYPERBOLIC ENERGY;

TRAJECTORIES;

EID: 14544282552     PISSN: 00224650     EISSN: 15336794     Source Type: Journal    
DOI: 10.2514/1.5571     Document Type: Article

References (15)

1. Patel, M. R., Longuski, J. M., and Sims, Jon A., "Mars Free Return Trajectories," Journal of Spacecraft and Rockets, vol. 35, no. 3, 1998, pp. 350-354.
2. Miele, A., Wang, T., and Mancuso, S., "Optimal Free-Return Trajectories for Moon Missions and Mars Missions," Journal of the Astronautical Sciences, vol. 48, no. 2-3, 2000, pp. 183-206.
3. Wolf, A. A., "Free-Return Trajectories for Mars Missions," American Astronautical Society, AAS Paper 91-123, Feb. 1991.
4. Hollister, W. M., "Periodic Orbits for Interplanetary Flight," Journal of Spacecraft and Rockets, vol. 6, no. 4, 1969, pp. 366-369.
5. Uphoff, C. W., "The Art and Science of Lunar Gravity Assist," Advances in Astronautical Sciences, vol. 69, Orbital Mechanics and Mission Design, edited by J. Teles, Univelt, Inc., San Diego, CA, 1989, pp. 333-346.
6. Uphoff, C., and Crouch, M. A., "Lunar Cycler Orbits with Alternating Semi-Monthly Transfer Windows," Journal of the Astronautical Sciences, vol. 41, no. 2, 1993, pp. 189-205.
7. Uphoff, C., Roberts, P. H., and Friedman, L. D., "Orbit Design Concepts for Jupiter Orbiter Missions," Journal of Spacecraft and Rockets, vol. 13, no. 6, 1976, pp. 348-355.
8. Menning, M. D., "Freefall Periodic Orbits Connecting Earth and Venus," M.S. Thesis, Dept. of Aeronautics and Astronautics, Massachusetts Inst. of Technology, Cambridge, MA, July 1968.
9. Rall, C. S., "Freefall Periodic Orbits Connecting Earth and Mars," Ph.D. Dissertation, Dept. of Aeronautics and Astronautics, Massachusetts Inst. of Technology, Cambridge, MA, Oct. 1969.
10. Byrnes, D. V., McConaghy, T. T., and Longuski, J. M., "Analysis of Various Two Synodic Period Earth-Mars Cycler Trajectories," American Astronautical Society, AAS Paper 2002-4423, Aug. 2002.
11. Russell, R., and Ocampo, C., "Systematic Method for Constructing Earth-Mars Cyclers Using Free-Return Trajectories," Journal of Guidance, Control, and Dynamics, vol. 27, no. 3, 2004, pp. 321-335.
12. Prussing, J. E., and Conway, B. A., Orbital Mechanics, Oxford Univ. Press, New York, 1993. pp. 63-80.
13. Battin, R. H., An Introduction to the Mathematics and Methods of Astrodynamics, rev. ed., AIAA, Reston, VA, 1999, p. 241.
14. Prussing, J. E., "A Class of Optimal Two-Impulse Rendezvous Using Multiple-Revolution Lambert Solutions," Journal of the Astronautical Sciences, vol. 48, Nos. 2 and 3, 2000, pp. 131-148.
15. Shen, H., and Tsiotras, P., "Using Battin's Method to Obtain Multiple-Revolution Lambert's Solutions," American Astronautical Society, AAS Paper 03-568, Aug. 2003.