The state transition matrix for relative motion of formation flying satellites

Advances in the Astronautical Sciences

Volumn 112 II, Issue , 2002, Pages 1021-1042

  Gim, Dong Woo ^a   Alfriend, Kyle T ^a  

^a Texas AandM University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASTRONOMICAL SATELLITES; EQUATIONS OF MOTION; GRAVITATIONAL EFFECTS; INTEGRATION; LAGRANGE MULTIPLIERS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; NUMERICAL METHODS; SPACE FLIGHT;

EQUINOCTIAL VARIABLE; FORMATION FLYING SATELLITE; NON-SINGULAR VARIABLE; STATE TRANSITION MATRIX;

ORBITS;

EID: 0036910295     PISSN: 00653438     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (9)

1. Alfriend K. T., Schaub, H. and Gim, D.-W., "Gravitational Perturbations, Nonlinearity and Circular Orbit Assumption Effects on Formation Flying Control Strategies", Paper No. AAS 00-012, 23rd Annual AAS Guidance and Control Conference, Breckenridge, CO, Feb. 2000.
2. Battin, R.H., An Introduction to the Mathematics and Methods of Astrodynamics, AIAA, Inc., New York, 1987.
3. Brouwer D., "Solution of the Problem of Artificial Satellite Theory without Drag", The Astronomical Journal, Vol. 64, No. 1274, Nov. 1959, pp. 378-397.
4. Clohessy, W.H. and Wiltshire, R.S., "Terminal Guidance System for Satellite Rendezvous", Journal of the Aerospace Science, Vol. 27, No. 9, Sept. 1960, pp. 653-658.
5. Garrison, J.L., Gardner, T.G. and Axelrad, P., "Relative Motion in Highly Elliptical Orbits", Paper No. AAS 95-194, 1995 Space Flight Mechanics Conference, Albuquerque, NM, Feb. 1995.
6. Gim, D.-W. and Alfriend K. T., "The State Transition Matrix of Relative Motion for the Perturbed Non-Circular Reference Orbit", 2001 AAS/AIAA Space Flight Mechanics Meeting, Feb. 11-16, 2001, Santa Barbara, CA.
7. Melton, R.G., "Time-Explicit Representation of Relative Motion Between Elliptical Orbits", AAS/AIAA Astrodynamics Specialist Conference, Sun Valley, ID, Aug. 1997.
8. Tschauner, J. and Hempel, P., "Rendezvous zu einem in Elliptischer Bahn um Laufenden Ziel", Astronautica Acta, Vol. 11, No. 5, pp. 312-321.
9. Vadali, S.R., Schaub, H. and Alfriend, K.T., "Initial Conditions and Fuel-Optimal Control for Formation Flying of Satellites", Paper No. AIAA-99-4265, AIAA GN&C Conference, Portland, OR, Aug. 9-12, 1999.