Unconstrained optimal transformation matrix

IEEE Transactions on Aerospace and Electronic Systems

Volumn 34, Issue 1, 1998, Pages 338-340

  Markley, F Landis ^a   Bar Itzhack, Itzhack Y ^b  

^a NASA GODDARD SPACE FLIGHT CENTER   (United States)

^b TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; FUNCTIONS; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; MATRIX ALGEBRA; STATISTICAL METHODS;

UNCONSTRAINED OPTIMAL TRANSFORMATION MATRIX;

SATELLITE COMMUNICATION SYSTEMS;

EID: 0031674302     PISSN: 00189251     EISSN: None     Source Type: Journal    
DOI: 10.1109/7.640293     Document Type: Article

References (12)

1. Wahba, G. (1965) A least squares estimate of spacecraft attitude. SIAM Review, 7, 3 (July 1965), 409.
2. Farrell, J. L., & Stuelpnagel, J. C.; Wessner, R. H.; Velman, J. R.; Brock, J. E. (1966) A least squares estimate of spacecraft attitude. SIAM Review, 8, 3 (July 1966), 384-386.
3. Davenport, P. B. (1965) A vector approach to the algebra of rotations with applications. NASA, X-546-65-437, Nov. 1965.
4. Keat, J. (1977) Analysis of least squares attitude determination routine DOAOP. Computer Sciences Corporation, CSC/TM-77/6034, Feb. 1977.
5. Lerner, G. M. (1978) Three-axis attitude determination. In J. R. Wertz (Ed.), Spacecraft Attitude Determination and Control. Dordrecht, Holland: D. Reidel, 1978.
6. Shuster, M. D., and Oh, S. D. (1981) Three-axis attitude determination from vector observations. Journal of Guidance and Control, 4, 1 (Jan.-Feb. 1981), 70-77.
7. Markley, F. L. (1988) Attitude determination using vector observations and the singular value decomposition. Journal of the Astronautical Sciences, 36, 3 (July-Sept. 1988), 245-258.
8. Markley, F. L. (1993) Attitude determination using vector observations: A fast optimal matrix algorithm. Journal of the Astronautical Sciences, 41, 2 (Apr.-June 1993), 261-280.
9. Davenport, P. B. (1971) Attitude determination and sensor alignment via weighted least squares affine transformations. AAS/AIAA Astrodynamics Specialists Conference, Fort Lauderdale, FL, Aug. 1971, Paper 71-396.
10. Bar-Itzhack, I. (1992) Polar decomposition for attitude determination from vector observations. Flight Mechanics/Estimation Theory Symposium, Goddard Space Flight Center, Greenbelt, MD, May 1992, NASA Conference Publication 3186, 243-257.
11. Brock, J. E. (1968) Optimal matrices describing linear systems. AIAA Journal, 6, 1 (July 1968), 1292-1296.
12. Black, H. D. (1964) A passive system for determining the attitude of a satellite. AIAA Journal, 2, 7 (July 1964), 1350-1351.