Formation design in eccentric orbits using linearized equations of relative motion

Journal of Guidance, Control, and Dynamics

Volumn 29, Issue 1, 2006, Pages 146-159

  Lane, Christopher ^a,b,c   Axelrad, Penina ^a,b,c  

^a UNIVERSITY OF COLORADO   (United States)

^b University of Colorado at Boulder   (United States)

^c AIAA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EQUATIONS OF MOTION; LINEAR EQUATIONS; LINEARIZATION; SATELLITE COMMUNICATION SYSTEMS; SET THEORY; SPACE FLIGHT;

CIRCULAR ORBITS; ECCENTRIC ORBITS; LINEARIZED EQUATIONS;

ORBITS;

EID: 32544431541     PISSN: 07315090     EISSN: 15333884     Source Type: Journal    
DOI: 10.2514/1.13173     Document Type: Review

References (20)

1. Ticker, R. L., and McLennan, D., "The New Millennium Program Space Technology 5 (ST5)," Proceedings of Space 2000: The 7th International Conference and Exposition on Engineering, Construction, Operations, and Business in Space, American Society of Civil Engineers, Reston, VA, 2000, pp. 469-175.
2. Carpenter, K. G., Schrijver, C. J., Lyon, R. G., Mundy, L. G., Allen, R. J., Armstrong, J. T., Danchi, W. C., Karovska, M., Marzouk, J., Mazzuca, L. M., Mozurkewich, D., Neff, S. G., Pauls, T. A., Rajagopal, J. K., Solyar, G., and Zhang, X., "Stellar Image (SI) Mission Concept," Proceedings of the Society of Photo-Optical Instrumentation Engineers, edited by J. C. Blades and O. H. Siegmund, Vol. 4854, Society of Photo-Optical Instrumentation Engineers, Bellingham, WA, 2003, pp. 293-302.
3. NASA Announcement of Opportunity, "Terrestial Planet Finder (TPF)," No. NRA-03-OSS-01-TPF, URL: http://research.hq.nasa.gov/code-S/nra/ current/AO-03-OSS-01/index.html [cited 3 March 2003].
4. NASA Announcement of Opportunity, "Magnetospheric Multiscale Mission (MMS)," No. AO-03-OSS-01, URL: http://research.hq.nasa.gov/code_s/dynamic. cfm?op_fy=2003 [cited 3 Jan. 2003].
5. Fridlund, M., and Gondoin, P., "The Darwin Mission," Interferometry in Space, Society of Photo-Optical Instrumentation Engineers, Bellingham, WA, pp. 394-404.
6. Lawden, D. F., Journal of the British Interplanetary Society, Vol. 13, No. 2, 1954, pp. 87-101.
7. Tschauner, J., and Hempel, P., "Optimale Beschleunigungs-propgramme fur des rendezvous Manover," Astronautica Acta, Vol. 10, Nos. 5-6, 1964, pp. 296-307.
8. Carter, T. E., "New Form for the Optimal Rendezvous Equations Near a Keplerian Orbit," Journal of Guidance, Control, and Dynamics, Vol. 13, No. 1, 1990, pp. 183-186.
9. Garrison, J. L., Gardner, T. G., and Axelrad, P., "Relative Motion in Highly Elliptical Orbits," Proceedings of the 5th AAS/AIAA Spaceflight Mechanics Conference, edited by R. J. Proulx, J. J. F. Liu, P. K. Seidelmann, and S. Alfano, Vol. 89, American Astronautical Society, San Diego, CA, 1995, pp. 1359-1376.
10. Gim, D. W., and Alfriend, K. T., "State Transition Matrix of Relative Motion for the Perturbed Noncircular Reference Orbit," Journal of Guidance, Control, and Dynamics, Vol. 26, No. 6, 2003, pp. 956-971.
11. Sabol, C., McLaughlin, C. A., and Luu, K. K., "Meet the Cluster Orbits with Perturbations of Keplerian Elements (COWPOKE) Equations," Advances in the Astronautical Sciences, Vol. 114, Pt. 1, 2003, pp. 573-594.
12. Melton, R. G., "Time-Explicit Representation of Relative Motion Between Elliptical Orbits," Journal of Guidance, Control, and Dynamics, Vol. 23, No. 4, 2000, pp. 604-610.
13. Sabol, C., Bums, R., and McLaughlin, C. A., "Satellite Formation Flying Design and Evolution," Journal of Spacecraft and Rockets, Vol. 38, No. 2, 2001, pp. 270-278.
14. Lovell, T. A., and Tragesser, S. G., "Analysis of the Reconfiguration and Maintenance of Close Spacecraft Formations," Spaceflight Mechanics 2003, Vol. 1, San Diego, CA, 2003, pp. 595-609.
15. Hill, G. W., "Researches in the Lunar Theory," American Journal of Mathematics, Vol. 1, 1878, pp. 5-26, 129-147, 245-260.
16. Inalhan, G., Tillerson, M., and How, J. P., "Relative Dynamics and Control of Spacecraft Formations in Eccentric Orbits," Journal of Guidance, Control, and Dynamics, Vol. 25, No. 1, 2002, pp. 48-59.
17. Broucke, R. A., "Solution of the Elliptic Rendezvous Problem with the Time as Independent Variable," Journal of Guidance, Control, and Dynamics, Vol. 26, No. 4, 2003, pp. 615-621.
18. Battin, R. H., An Introduction to the Mathematics and Methods of Astrodynamics, AIAA Education Series, AIAA, New York, 1987, Chap. 3.
19. Vallado, D. A., Fundamentals ofAstrodynamics and Applications, 2nd ed., Microcosm Press, El Segundo, CA, 2001, Chaps. 3, 5, 6, 8, 9.
20. Schaub, H., and Alfriend, K. T., "J2 Invariant Relative Orbits for Spacecraft Formations," Celestial Mechanics and Dynamical Astronomy, Vol. 79, No. 2, 2001, pp. 77-95.