Families of orbits in the vicinity of the collinear libration points

AIAA/AAS Astrodynamics Specialist Conference and Exhibit

Volumn , Issue , 1998, Pages 1-22

  Howell, K C ^a  

^a Purdue University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASTROPHYSICS; EARTH (PLANET); INTERPLANETARY FLIGHT;

COLLINEAR LIBRATION POINTS; FUTURE SPACECRAFT; NUMERICAL COMPUTATIONS; PERIODIC SOLUTION; QUASI-PERIODIC ORBITS; SPACE MISSION DESIGN; SPACECRAFT TRAJECTORIES; THREE-BODY PROBLEM;

ORBITS;

EID: 84983111475     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.1998-4465     Document Type: Conference Paper

References (29)

1. K.C. Howell and R.W. Farquhar, "John Breakwell, the Restricted Problem, and Halo Orbits," Acta Astronautica, Vol. 29, No. 6, 1993, pp. 485-488
2. R.W. Farquhar, "The Control and Use of Libration- Pqint Satellites," NASA TR T-346, 1970
3. H. Poincare, Les Methodes Nouvelles de la Mecanique Celeste, Vol. I, 1892; New Methods of Celestial Mechanics (English Translation), Vol. 13, History of Modern Physics and Astronomy, American Institute of Physics, 1993
4. F.R. Moulton, Periodic Orbits, Carnegie Institution of Washington Publications, No. 161, Washington, 1920
5. V. Szebehely, Theory of Orbits: The Restricted Problem of Three Bodies, Academic Press, New York, 1967
6. C.L. Goudas, "Three-Dimensional Periodic Orbits and Their Stability," Icarus, Vol. 2, 1963, pp. 1-18
7. T.A. Bray and C.L. Goudas, "Three-Dimensional Periodic Oscillations about LI, L%, and LS," Advances in Astronomy and Astrophysics (Z. Kopal, Editor), Vol. 5, Academic Press, New York, 1967, pp.71-130
8. M. Henon, "Vertical Stability of Periodic Orbits in the Restricted Problem, I. Equal Masses," Astronomy and Astrophysics, Vol. 28, 1973, pp. 415-426
9. P.G. Kazantzis, "The Structure of Periodic Solutions in the Restricted Problem of Three Bodies: Sun-Jupiter Case," Astrophysics and Space Science, Vol. 59, 1978, pp. 355-371
10. I.A. Robin and V.V. Markellos, "Numerical Determination of Three-Dimensional Periodic Orbits Generated From Vertical Self-Resonant Satellite Orbits," Celestial Mechanics, Vol. 21, 1980, pp. 395-434
11. UM. Michalodimitrakis, "A New Type of Connection between the Families of Periodic Orbits of the Restricted Problem," Astronomy and Astrophysics, Vol. 64, 1978, pp. 83-86
12. S. S. Ichtiaroglou and M. Michalodimitrakis, "Three- Body Problem: The Existence of Families of Three- Dimensional Periodic Orbits which Bifurcate from Planar Periodic Orbits," Astronomy and Astrophysics, Vol. 81, 1980, pp. 30-32
13. C.G. Zagouras and P.G. Kazantzis, "Three- Dimensional Periodic Oscillations Generating From Plane Periodic Ones Around the Collinear Lagrangian Points," Astrophysics and Space Science, Vol. 61, 1979, pp. 389-409
14. C. Marchal, The Three-Body Problem, Elsevier Science Publishing Company, New York, 1990
15. B.T. Barden and K.C. Howell, "Formation Flying in the Vicinity of Libration Point Orbits," Paper No. AAS 98-169, AAS/AIAA Space Flight Mechanics Meeting, Monterey, California, February 1998
16. K.C. Howell and H.J. Pernicka, "Numerical Determination of Lissajous Trajectories in the Restricted Three-Body Problem," Mechanics, Vol. 41, 1988, pp. 107-124
17. Celestial G. Gomez, A. Jorba, J. Masdemont, and C. Simo, "Study Refinement of Semianalytical Halo Orbit Theory," Final Report, No:8625/89/D/MD(SC), 1991
18. ESOC Contract C. Simo, "Effective Computations in Hamiltonian Dynamics," in Cent ans apres les Methodes Nouvelles de H. Poincare, Societe Mathematique de France, 1996, pp 1-23
19. G. Gomez, J. Masdemont, and C. Simo, "Lissajous Orbits Around Halo Orbits," Paper No. 97-106, AAS/AIAA Space Flight Mechanics Meeting, Huntsville, Alabama, February 1997
20. R.W. Farquhar, D.P. Muhonen, and D.L. Richardson, "Mission Design for a Halo Orbiter of the Earth," Journal of Spacecraft and Rockets, Vol. 14, 1977, pp. 170-177
21. D.L. Richardson, "Halo-Orbit Formulation for the ISEE-3 Mission," Journal of Guidance and Control, Vol. 3, No. 6, November-December 1980, pp. 543-548
22. D.L. Richardson, "Analytic Construction of Periodic Orbits About the Collinear Points," Celestial Mechanics, Vol. 22, 1980, pp. 241-253
23. R.W. Farquhar and A.A. Kamel, "Quasi-Periodic Orbits About the Translunar Libration Point," Celestial Mechanics, Vol. 7, 1973, pp. 458-473
24. J.V. Breakwell and J.V. Brown, "The 'Halo' Family of 3-Dimensional Periodic Orbits in the Earth-Moon Restricted 3-Body Problem," Celestial Mechanics, Vol. 20, 1979, pp. 389-404
25. K.C. Howell, "Three-Dimensional, Periodic, 'Halo' Orbits," Celestial Mechanics, Vol. 32, 1984, pp.53-71
26. J.V. Breakwell and K.C. Howell, "Almost Rectilinear Halo Orbits," Celestial Mechanics, Vol. 32, 1984, pp. 29-52
27. G. Gomez, A. Jorba, J. Masdemont, and C. Simo, "Study of the Transfer from the Earth to a Halo Orbit Around the Equilibrium Point Lj," Celestial Mechanics and Dynamical Astronomy, Vol. 56, No. 4, 1993, pp. 541-562
28. K.C. Howell, B.T. Barden, and M.W. Lo, "Application of Dynamical Systems Theory to Trajectory Design for a Libration Point Mission," Journal of the Astronautical Sciences, Vol. 45, No.2, April-June 1997, pp. 161-178
29. JJ. Guzman, D.S. Cooley, K.C. Howell, and D. Folta, "Trajectory Design Strategies for Libration Point Missions that Incorporate Invariant Manifolds and SWTNGBY," Paper No. AAS 98-349, AAS/GSFC International Symposium on Space Flight Dynamics, Greenbelt, Maryland, May 1998.