Artificial equilibrium points in the low-thrust restricted three-body problem

Journal of Guidance, Control, and Dynamics

Volumn 30, Issue 5, 2007, Pages 1563-1568

  Morimoto, Mutsuko Y ^a,c   Yamakawa, Hiroshi ^b,d,e   Uesugi, Kuninori ^a,f  

^a JAPAN AEROSPACE EXPLORATION AGENCY   (Japan)

^b KYOTO UNIVERSITY   (Japan)

^c Research Institute for Sustainable Humanosphere ^*  (Japan)

^d KYOTO UNIVERSITY   (Japan)

^e AIAA   (United States)

^f JAPAN AEROSPACE EXPLORATION AGENCY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EARTH (PLANET); EQUATIONS OF MOTION; PROBLEM SOLVING; SUN; THREE DIMENSIONAL;

ARTIFICIAL EQUILIBRIUM POINTS; CONTROL ACCELERATION; MASS RATIO SYSTEMS; THREE BODY PROBLEMS;

SPACE RESEARCH;

EID: 35348964743     PISSN: 07315090     EISSN: 15333884     Source Type: Journal    
DOI: 10.2514/1.26771     Document Type: Article

References (16)

1. Farquhar, R. W., "Lunar Communications with Libration-Point Satellites," Journal of Spacecraft and Rockets, Vol. 4, No. 10, 1967, pp. 1383-1384.
2. Heppenheimer, T. A., "Optimal Controls for Out-of Plane Motion About the Translunar Libration Point," Journal of Spacecraft and Rockets, Vol. 17, No. 9, 1970, pp. 1088-1092.
3. Breakwell, J.V., Kamel, A.A., and Ratner, M.J., "Station-Keeping for a Translunar Communication Station," Celestial Mechanics, Vol. 10, No. 3, 1974, pp. 357-373.
4. Breakwell, J. V., and Brown, J. V., "The 'Halo' Family of 3-Dimensional Periodic Orbits in the Earth-Moon Restricted 3-Body Problem," Celestial Mechanics, Vol. 20, Nov. 1979, pp. 389-404.
5. Wiesel, W., and Shelton, W., "Modal Control of an Unstable Periodic Orbit," Journal of the Astronautical Sciences, Vol. 31, No. 1, 1983, pp. 63-76.
6. Richardson, D. L., "Analytic Construction of Periodic Orbits About the Collinear Points," Celestial Mechanics, Vol. 22, Oct. 1980, pp. 241-253.
7. Simó, C., Gómez, G., Llibre, J., Martínez, R., and Rodriguez, J., "On the Optimal Station Keeping Control of Halo Orbits," Acta Astronautica, Vol. 15, Nos. 6/7, 1987, pp. 391-397.
8. Dusek, H. M., "Motion in the Vicinity of Libration Points of a Generalized Restricted Three-Body Model," Methods in Astrodynamics and Celestial Mechanics, Progress in Astronautics and Aeronautics, Vol. 17, 1966, pp. 37-54.
9. Simmons, J. F. L., McDonald, A. J. C., and Brown, J. C., "The Restricted 3-Body Problem with Radiation Pressure," Celestial Mechanics, Vol. 35, Feb. 1985, pp. 145-187.
10. McInnes, C. R., McDonald, A. J., Simmons, J. F. L., and MacDonald, E., "Solar Sail Parking in Restricted Three-Body Systems," Journal of Guidance, Control, and Dynamics, Vol. 17, No. 2, 1994, pp. 399-406.
11. McInnes, C. R., "Dynamics, Stability and Control of Displaced Non-Keplerian Orbits," Journal of Guidance, Control, and Dynamics, Vol. 21, No. 5, 1998, pp. 799-805.
12. Broschart, S. B., and Scheeres, D. J., "Control of Hovering Spacecraft Near Small Bodies: Application to Asteroid 25143 Itokawa," Journal of Guidance, Control, and Dynamics, Vol. 28, No. 2, 2005, pp. 343-354.
13. Morimoto, M., Yamakawa, H., and Uesugi, K., "Periodic Orbits with Low-Thrust Propulsion in the Restricted Three-Body Problem," Journal of Guidance, Control, and Dynamics, Vol. 29, No. 5, 2006, p. 1131-1139.
14. Robinson, C., Dynamical Systems: Stability, Symbolic Dynamics, and Chaos, 2nd ed., CRC Press, Boca Raton, FL, 1999, Chap. 5.
15. Boccaletti, D., and Pucacco, G., "Perturbative and Geometrical Methods," Theory of Orbits, Vol. 2, Springer-Verlag, Berlin, 1999, pp. 99-106.
16. Henrici, P., "Power Series, Integration, Conformal Mapping, Location of Zeros," Applied and Computational Complex Analysis, Vol. 1, Wiley, New York, 1988, pp. 439-443.