Nonlinear Modeling of Spacecraft Relative Motion in the Configuration Space

Journal of Guidance, Control, and Dynamics

Volumn 27, Issue 1, 2004, Pages 154-157

  Gurfil, Pini ^a,b   Kasdin, N Jeremy ^a,b  

^a PRINCETON UNIVERSITY   (United States)

^b Department of Mechanical Engineering ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; FUNCTIONS; LAGRANGE MULTIPLIERS; MOTION ESTIMATION; ORBITS; PARAMETER ESTIMATION; PROBLEM SOLVING; SPACECRAFT; TIME SERIES ANALYSIS; VECTORS;

HIGH-ORDER APPROXIMATIONS; RELATIVE POSITION VECTOR; SPACECRAFT FORMATION DYNAMICS;

NONLINEAR SYSTEMS;

EID: 1042298574     PISSN: 07315090     EISSN: 15333884     Source Type: Journal    
DOI: 10.2514/1.9343     Document Type: Article

References (10)

1. Clohessy, W. H., and Wiltshire, R. S., "Terminal Guidance System for Satellite Rendezvous," Journal of Astronautical Sciences, Vol. 27, No. 9, 1960, pp. 653-678.
2. 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. 48-60.
3. Gim, D. W., and Alfriend, K. T., "The State Transition Matrix of Relative Motion for the Perturbed Non-Circular Reference Orbit," American Astronomical Society, Paper AAS 01-222, Washington, D.C., Feb. 2001.
4. Alfriend, K. T., and Schaub, H., "Dynamics and Control of Spacecraft Formations: Challenges and Some Solutions," Journal of Astronautical Sciences, Vol. 48, No. 2, 2000, pp. 249-267.
5. Hill, G. W., "Researches in the Lunar Theory," American Journal of Mathematics, Vol. 1, 1878, pp. 5-26.
6. Schaub, H., Vadali, S. R., and Alfriend, K. T., "Spacecraft Formation Flying Control Using Mean Orbital Elements," Journal of Astronautical Sciences, Vol. 48, No. 1, 2000, pp. 69-87.
7. Schaub, H., and Alfriend, K., "Hybrid Cartesian and Orbit Elements Feedback Law for Formation Flying Spacecraft," Journal of Guidance, Control, and Dynamics, Vol. 25, No. 2, 2002, pp. 387-393.
8. Karlgaard, C. D., and Lutze, F. H., "Second-Order Relative Motion Equations," American Astronomical Society, Paper AAS 01-464, Washington, D.C., July 2001.
9. Alfriend, K. T., Yan, H., and Vadali, S. R., "Nonlinear Considerations in Satellite Formation Flying," AIAA Paper 2002-4741, Aug. 2002.
10. Battin, R. H., An Introduction to the Mathematics and Methods of Astrodynamics, AIAA, Reston, VA, 1999, Chap. 10, pp. 485-488.