Designing capture trajectories to unstable periodic orbits around Europa

Advances in the Astronautical Sciences

Volumn 124 II, Issue , 2006, Pages 1479-1498

  Russell, Ryan P ^a,b,c   Lam, Try ^a,b,c  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^b AIAA   (United States)

^c AAS ^*  (Norway)

Author keywords

[No Author keywords available]

Indexed keywords

CAPTURE TRAJECTORIES; LIMITED CONTROL AUTHORITY; LOW THRUST MISSIONS; UNSTABLE PERIODIC ORBITS;

CONTROL THEORY; DATABASE SYSTEMS; MATHEMATICAL MODELS; PARAMETER ESTIMATION; PERTURBATION TECHNIQUES; SPACECRAFT;

TRAJECTORIES;

EID: 34247155779     PISSN: 00653438     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (37)

1. Scheeres, D.J., Guman, M.D., 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.
2. Lara, M., San-Juan, J.F., "Dynamic Behavior of an Orbiter Around Europa." Journal of Guidance, Control and Dynamics, Vol. 28, No. 2, 2005, pp. 291-297.
3. Aiello, J., "Numerical Investigation of Mapping Orbits about Jupiter's Icy Moons," paper AAS 2005-377, presented at the Astrodynamics Specialists Conference, Lake Tahoe, California, August 2005.
4. Lam, T., Whiffen, G. J., "Exploration of Distant Retrograde Orbits around Europa," Paper AAS 05-110, presented at the 15th Spaceflight Mechanics Meetings, Copper Mountain, Colorado, January 2005.
5. Paskowitz, M. E., Scheeres, D.J., "Transient Behavior of Planetary Satellite Orbiters", AAS paper 05- 358, presented at the 2005 AAS/AIAA Astrodynamics Specialist Conference in Lake Tahoe, California, August 2005.
6. Whiffen, G. J., "An investigation of a Jupiter Galilean moon orbiter trajectory", Paper AAS 03-544. Presented at the AAS/AIAA Astrodynamics Specialist Conference, Big Sky, Montana, August, 2003.
7. Whiffen, G. J, "Jupiter Icy Moons Orbiter Reference Trajectory," Paper AAS 06-186, presented at the AAS/AIAA Space Flight Mechanics Meeting, Tampa, Florida, 2006.
8. Lam, T., Hirani, A. N., "Characteristics of Transfers to and Captures at Europa," Paper AAS 06-188, presented at the AAS/AIAA Space Flight Mechanics Meeting, Tampa, Florida, 2006.
9. Koon, W.S., Lo, M. W., Marsden, J.E., Ross S.D., "Low Energy Transfer to the Moon," Celestial Mechanics and Dynamical Astronomy, Vol. 81, No. 1-2, Sept. 2001, pp. 63-73.
10. Lo, M.W., Anderson, R.L., Whiffen, G.J., "The Role of Invariant Manifolds in Low Thrust Trajectory Design," Paper AAS 04-228, AAS/AIAA Spaceflight Dynamics Conference, Maui, Hawaii, February 8-12
11. Lo, M. W., Parker, J. S., "Unstable Resonant Orbits near Earth and Their Applications in Planetary Missions," Paper AAS 04-5304, AIAA/AAS Astrodynamics Specialist Conference and Exhibit, Providence, RI, Aug. 16-19 2004.
12. Gómez, G., Koon, W. S., Lo, M. W., Marsden J. E., Masdemont J., Ross S. D., "Connecting orbits and invariant manifolds in the spatial restricted three-body problem," Nonlinearity, Vol. 17, No. 5, September 2004, pp. 1571-1606.
13. Gomez, G., Koon, W.S., Lo, M.W., Marsden, J.E., Masdemont, J., Ross, S.D., "Invariant Manifolds, The Spatial Three-Body Problem and Space Mission Design," Paper AAS 01-301, AAS/AIAA Astrodynamics Specialist Conference, Quebec City, Canada, Paper AAS 01-301, July 2001.
14. Senet, J., Ocampo, C., "Low-Thrust Variable Specific Impulse Transfers and Guidance to Unstable Periodic Orbits," Journal of Guidance, Control, and Dynamics, Vol. 28, No. 2, 2005, pp. 280-290.
15. Serban, R., Koon, S.K., Lo, M.W., Marsden, J.E., Petzold, L.R., Ross, S.D., Wilson, R.S., "Halo Orbit Mission Correction Maneuvers Using Optimal Control," Automatica, Vol 38, No. 4, April 2001, pp. 571-583.
16. Howell, K.C., Barden, B.T., Lo, M.W., "Application of Dynamical Systems Theory to Trajectory Design for a Libration Point Mission," The Journal of the Astronautical Sciences; Vol. 45, No. 2, April-June 1997, pp. 161-178.
17. Belbruno, E., "A Low Energy Lunar Transportation System Using Chaotic Dynamics", AAS paper 05382, presented at the 2005 AAS/AIAA Astrodynamics Specialist Conference in Lake Tahoe, California, August 2005.
18. Lo, M. W., "The Lunar LI Gateway: Portal to the Stars and Beyond," Paper 2001-4768, Presented at the AIAA Space Conference, Albuquerque, New Mexico, 2001.
19. Villac, B., Lara, M., "Stability Maps, Global dynamics, and Transfers", AAS paper 05-378, presented at the 2005 AAS/AIAA Astrodynamics Specialist Conference in Lake Tahoe, California, August 2005.
20. Farquhar, R.W., Muhonen, D.P., Newman, C.R., Heuberger, H.S., "Trajectories and Orbital Maneuvers for the First Libration Point Satellite," Journal of Guidance and, Control, Vol. 3, No. 6, 1980, pp. 549-554.
21. Sharer, P., Harrington, T., "Trajectory Optimization for the ACE Halo Orbit Mission", AAS paper 963601, presented at the AAS/AIAA Astrodynamics Conference in San Diego, California, July 1996.
22. Roberts, C.E., "The SOHO Mission LI Halo Orbit Recovery From the Attitude Control Anomalies", presented at the Libration Point Orbits and Applications Conference, Parador d'Aiguablava, Girona, Spain, 10-14 June 2002.
23. Koon, W.S., Lo, M.W., Marsden, J.E, Ross, S.D., "The Genesis Trajectory and Heteroclinic Connections", AAS paper 99-451, presented at the 2005 AAS/AIAA Astrodynamics Specialist Conference in Girdwood, Alaska, August 1999.
24. Howell, K.C., Barden, B.T., Wilson, R.S., Lo, M.W., "Trajectory Design Using a Dynamical Systems Approach with Applications to Genesis," Paper AAS 97-709, presented at the AAS/AIAA Astrodynamics Specialist Conference, Sun Valley, Idaho, August 1997.
25. Russell, R. P., "Global Search for Planar and Three-dimensional Periodic Orbits Near Europa," Paper AAS 2005-290, presented at the 2005 AAS/AIAA Astrodynamics Specialist Conference, Lake Tahoe, California, August 2005.
26. Hirani, A.H., Lo, M.W. "Surface Structure of an Invariant Manifold of a Halo Orbit," Paper AAS 2005-379, presented at the 2005 AAS/AIAA Astrodynamics Specialist Conference, Lake Tahoe, California, August 2005.
27. Lara, M., Russell, R.P., Villac, B., "On Parking Solutions Around Europa", AAS paper 05-384, presented at the 2005 AAS/AIAA Astrodynamics Specialist Conference in Lake Tahoe, California, August 2005.
28. Jupiter, The Planet, Satellites, and Magnetosphere, edited by F. Bagenal, T. Dowling, W. McKinnon, Cambridge Planetary Society, Cambridge, United Kingdom, 2004. pp. 36, 347.
29. Battin, R. H., An Introduction to the Mathematics and Methods of Astrodynamics, American Institute of Aeronautics and Astronautics, Inc., New York, 1987, pg. 453.
30. Applied Nonlinear Dynamics, Nayfeh, A. H., Balachandran, B., John Wiley and Sons, Inc., New York, 1995. Sec. 3.2.
31. Foundations of Applied Mathematics, Greenberg, M.D., Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1978. pg. 333.
32. Broucke, R., "Stability of Periodic Orbits in the Elliptic, Restricted Three-Body Problem," AIAA Journal, Vol. 7, No. 6, 1969, pp. 1003-1009.
33. Lara, M., Russell, R.P., "On the Design of a Science Orbit about Europa," Paper AAS 06-168, presented at the AAS/AIAA Space Flight Mechanics Meeting, Tampa, Florida, 2006.
34. Standish, E. M., JPL Planetary and Lunar Ephemerides, CD-ROM, Willman-Bell Inc., Richmond, VA, 1997.
35. Seidelmann, P.K., Abalakin, V.K., Bursa, M., Davies, M.E., Bergh, C. de, Lieske, J.H., Oberst, J., Simon, J.L., Standish, E.M., Stooke, P., Thomas, P.C., "Report of the IAU/IAG Working Group on Cartographic Coordinates and Rotational Elements of the Planets and Satellites: 2000," Celestial Mechanics and Dynamical Astronomy, Vol. 82, Issue 1, 2002, pp. 83-111.
36. Geophysical Geodesy, Lambeck, K., Clarendon Press, Oxford, 1988. Sec. 2.2.
37. Whiffen, G. J., Sims, J. A., "Application of the SDC optimal control algorithm to low-thrust escape and capture trajectory optimization", Paper AAS 02-208. Presented at the AAS/AIAA Space Flight Mechanics Meeting, San Antonio, Texas, 2002.