Linearized dynamic equations for spacecraft subject to J2 perturbations

Journal of Guidance, Control, and Dynamics

Volumn 26, Issue 4, 2003, Pages 657-659

  Ross, I Michael ^a  

^a NAVAL POSTGRADUATE SCHOOL   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACCELERATION; DYNAMICS; EQUATIONS OF MOTION; GRAVITATION; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; RELATIVITY; SPACECRAFT; VECTORS;

REFERENCE FRAMES;

ORBITS;

EID: 0041766613     PISSN: 07315090     EISSN: 15333884     Source Type: Journal    
DOI: 10.2514/2.5095     Document Type: Review

References (10)

1. Carter, T. E., "State Transition Matrices for Terminal Rendezvous Studies: Brief Survey and New Examples," Journal of Guidance, Control, and Dynamics, Vol. 21, No. 1, 1998, pp. 148-155.
2. Kaplan, M. H., Modern Spacecraft Dynamics and Control, Wiley, New York, 1976, p. 111.
3. Magnus, W., and Winkler, S., Hill's Equation, Interscience, New York, 1966.
4. Clohessy, W. H., and Wiltshire, R. S., "Terminal Guidance System for Satellite Rendezvous," Journal of the Aerospace Sciences, Vol. 27, No. 9, 1960, pp. 653-658.
5. Alfriend, K. T., Schaub, H., and Gim, D.-W., "Gravitational Perturbations, Nonlinearity and Circular Orbit Assumption Effects on Formation Flying Control Strategies," American Astronautical Society, Paper AAS 00-012, Jan. 2000.
6. Vadalli, S. R., Alfriend, K. T., and Vaddi, S. S., "A New Concept for Constellation Control of Formation Flying Satellites," American Astronautical Society, Paper AAS 01-218, Feb. 2001.
7. Gim, D.-W., and Alfriend, K. T., "The State Transition Matrix of Relative Motion for the Perturbed Non-Circular Reference Orbit," American Astronautical Society, Paper AAS 01-222, Feb. 2001.
8. 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.
9. Kane, T. R., Likins, P. W., and Levinson, D. A., Spacecraft Dynamics, McGraw-Hill, New York, 1983, p. 213.
10. Char, B. W., Geddes, K.O., Gonnet, G. H., Leong, B. L., Monagan, M. B., and Watt, S. M., First Leaves: A Tutorial Introduction to Maple V, Springer-Verlag, New York, 1992.