How to estimate attitude from vector observations

Advances in the Astronautical Sciences

Volumn 103, Issue PART III, 2000, Pages 1979-1996

  Markley, F Landis ^a   Mortari, Daniele ^b  

^a NASA GODDARD SPACE FLIGHT CENTER   (United States)

^b SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0345795726     PISSN: 00653438     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Article

References (37)

1. Wahba, Grace, "A Least Squares Estimate of Spacecraft Attitude," SIAM Review, Vol. 7, No. 3, July 1965, p. 409.
2. Shuster, Malcolm D., "Maximum Likelihood Estimate of Spacecraft Attitude," Journal of the Astronautical Sciences, Vol. 37, No. 1, January-March 1989, pp. 79-88.
3. Horn, Roger A. and Charles R. Johnson, Matrix Analysis, Cambridge, UK, Cambridge University Press, 1985.
4. Farrell, J. L. and J. C. Stuelpnagel, "A Least Squares Estimate of Spacecraft Attitude," SIAM Review, Vol. 8, No. 3, July 1966, pp. 384-386.
5. Wessner, R. H., ibid.
6. Velman, J. R., ibid.
7. Brock, J. E., ibid.
8. Brock, John E., "Optimal Matrices Describing Linear Systems," AIAA Journal, Vol. 6, No. 7, July 1968, pp. 1292-1296.
9. Markley, F. Landis and Itzhack Y. Bar-Itzhack, "Unconstrained Optimal Transformation Matrix," IEEE Transactions on Aerospace and Electronic Systems Vol. 34, No. 1, January 1998, pp. 338-340.
10. Keat, J., "Analysis of Least-Squares Attitude Determination Routine DOAOP," CSC Report CSC/TM-77/6034, February 1977.
11. Lerner, Gerald M., "Three-Axis Attitude Determination," in Spacecraft Attitude Determination and Control, ed. by James R. Wertz, Dordrecht, Holland, D. Reidel, 1978.
12. Markley, F. Landis, "Parameterizations of the Attitude," in Spacecraft Attitude Determination and Control, ed. by James R. Wertz, Dordrecht, Holland, D. Reidel, 1978.
13. Shuster, Malcolm D., "A Survey of Attitude Representations," Journal of the Astronautical Sciences, Vol. 41, No. 4, October-December 1993, pp. 439-517.
14. Golub, Gene H. and Charles F. Van Loan, Matrix Computations, Baltimore, MD, The Johns Hopkins University Press, 1983.
15. Shuster, M. D. "Approximate Algorithms for Fast Optimal Attitude Computation," AIAA Paper 78-1249, AIAA Guidance and Control Conference, Palo Alto, CA, August 7-9, 1978.
16. Shuster, M. D. and S. D. Oh, "Three-Axis Attitude Determination from Vector Observations," Journal of Guidance and Control, Vol. 4, No. 1, January-February 1981, pp. 70-77.
17. Shuster, Malcolm D. and Gregory A. Natanson, Quaternion Computation from a Geometric Point of View," Journal of the Astronautical Sciences, Vol. 41, No. 4, October-December 1993, pp. 545-556.
18. Markley, F. Landis, "Attitude Determination Using Vector Observations and the Singular Value Decomposition," AAS Paper 87-490, AAS/AIAA Astrodynamics Specialist Conference, Kalispell, MT, August 1987.
19. Markley, F. Landis, "Attitude Determination Using Vector Observations and the Singular Value Decomposition," Journal of the Astronautical Sciences, Vol. 36, No. 3, July-Sept. 1988, pp. 245-258.
20. Markley, F. Landis, "Attitude Determination Using Vector Observations: a Fast Optimal Matrix Algorithm," Flight Mechanics/Estimation Theory Symposium, Goddard Space Flight Center, Greenbelt, MD, May 1992, NASA Conference Publication 3186.
21. Markley, F. Landis, "Attitude Determination Using Vector Observations: a Fast Optimal Matrix Algorithm," Journal of the Astronautical Sciences, Vol. 41, No. 2, April-June 1993, pp. 261-280.
22. Mortari, Daniele, "ESOQ: A Closed-Form Solution to the Wahba Problem," Paper AAS 96-173, AAS/AIAA Space Flight Mechanics Meeting, Austin, TX, February 11-15, 1996.
23. Mortari, Daniele, "ESOQ: A Closed-Form Solution to the Wahba Problem," Journal of the Astronautical Sciences, Vol. 45, No.2 April-June 1997, pp. 195-204.
24. Mortari, Daniele, "n-Dimensional Cross Product and its Application to Matrix Eigenanalysis," Journal of Guidance, Control, and Dynamics, Vol. 20, No. 3, May-June 1997, pp. 509-515.
25. Mortari, Daniele, "ESOQ2 Single-Point Algorithm for Fast Optimal Attitude Determination," Paper AAS 97-167, AAS/AIAA Space Flight Mechanics Meeting, Huntsville, AL, February 10-12, 1997.
26. Mortari, Daniele, "Second Estimator of the Optimal Quaternion," Journal of Guidance, Control, and Dynamics (in press).
27. Black, H. D. "A Passive System for Determining the Attitude of a Satellite," AIAA Journal, Vol. 2, No. 7, July 1964, pp. 1350-1351.
28. Markley, F. Landis, "Attitude Determination Using Two Vector Measurements," Flight Mechanics Symposium, Goddard Space Flight Center, Greenbelt, MD, May 1999, NASA Conference Publication NASA/CP-19989-209235, pp. 39-52.
29. Shuster, Malcolm D., "A Simple Kalman Filter and Smoother for Spacecraft Attitude," Journal of the Astronautical Sciences, Vol. 37, No. 1, January-March 1989, pp. 89-106.
30. Bar-Itzhack, Itzhack Y., "REQUEST: A Recursive QUEST Algorithm for Sequential Attitude Determination," Journal of Guidance, Control, and Dynamics, Vol. 19, No. 5, September-October 1996, pp. 1034-1038.
31. Lefferts, E. J., F. L. Markley, and M. D. Shuster, "Kalman Filtering for Spacecraft Attitude Estimation," Journal of Guidance, Control, and Dynamics, Vol. 5, No. 5, Sept.-Oct. 1982, pp. 417-429.
32. Reynolds, R. G., "Quaternion Parameterization and Global Attitude Estimation," Flight Mechanics/Estimation Theory Symposium, Goddard Space Flight Center, Greenbelt, MD, May 1997, NASA Conference Publication 3345, pp. 347-355.
33. Reynolds, R. G., "Quaternion Parameterization and a Simple Algorithm for Global Attitude Estimation," Journal of Guidance, Control, and Dynamics, Vol. 21, No. 4, July-August 1998, pp. 669-671.
34. Shuster, Malcolm D., private communication.
35. Abramowitz, Milton, and Irene A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, New York, NY, Dover Publications, Inc., 1965, Chapter 26.
36. Deutschmann, J., "Comparison of Single Frame Attitude Determination Methods," Goddard Space Flight Center Memo to Thomas H. Stengle, July 26, 1993.
37. Markley, F. L., "New Quaternion Attitude Estimation Method," Journal of Guidance, Control, and Dynamics, Vol. 17, No. 2, March-April 1994, pp. 407-409.