Attitude analysis in Flatland: The plane truth

Journal of the Astronautical Sciences

Volumn 52, Issue 1-2, 2004, Pages 195-209

  Shuster, Malcolm D ^a  

^a Acme Spacecraft Company   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ATTITUDE ANALYSIS; EUCLIDEAN PLANE; GIBBS VECTOR; SINGLE AXIS; ATTITUDE DETERMINATION; EUCLIDEAN PLANES; SINGLE-AXIS;

AERODYNAMICS; ALGORITHMS; ERROR ANALYSIS; HAMILTONIANS; KALMAN FILTERING; MATHEMATICAL MODELS; MATRIX ALGEBRA; PROBLEM SOLVING; TWO DIMENSIONAL; AEROSPACE ENGINEERING; ASTRONOMY;

SPACECRAFT; GEOMETRY;

EID: 14744301598     PISSN: 00219142     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper

References (29)

1. ABBOTT, E. A. Flatland, a Romance of Many Dimensions, New York, Dover Publications, 1884.
2. ALTMANN, S. L. Rotations, Quaternions, and Double Groups, Oxford, Oxford University Press, 1986.
3. ALTMANN, S. L. "Hamilton, Rodrigues, and the Quaternion Scandal," Mathematics Magazine, Vol. 62, pp. 291-307, 1989.
4. VAN DER WAERDEN, B. L. A History of Algebra, New York and Heidelberg, Springer-Verlag, 1985.
5. SHUSTER, M. D. "A Survey of Attitude Representations," The Journal of the Aeronautical Sciences, Vol. 41, No. 4, pp. 439-517, October-December 1993.
6. SHUSTER, M. D. "Attitude Analysis in Flatland: The Plane Truth," Proceedings, Flight Mechanics/Estimation Theory Symposium, NASA Goddard Space Flight Center, Greenbelt, Maryland, May 1992, pp. 259-274.
7. BLACK, H. D. "A Passive System for Determining the Attitude of a Satellite," AIM Journal, Vol. 2, pp. 1350-1351, 1964.
8. SHUSTER, M. D. and OH, S. D. "Three-Axis Attitude Determination from Vector Observations," Journal of Guidance, Control, and Dynamics, Vol. 4, No. 1, pp. 70-77, 1981.
9. SHUSTER, M. D. "Attitude Determination in Higher Dimensions," Journal of Guidance, Control, and Dynamics, Vol. 16, No. 2, March-April 1993, pp. 393-395.
10. WAHBA, G. "Problem 65-1: A Least Squares Estimate of Spacecraft Attitude," SIAM Review, Vol. 7, No. 3, July 1965, p. 409.
11. KEAT, J. "Analysis of Least Squares Attitude Determination Routine, DOAOP," Computer Sciences Corporation, CSC/TM-77/6034, February 1977.
12. SHUSTER, M. D. "Maximum Likelihood Estimation of Spacecraft Attitude," The Journal of the Astronautical Sciences, Vol. 37, 1989, pp. 79-88.
13. MARKLEY, F. L. "Attitude Determination Using Vector Observations and the Singular Value Decomposition," The Journal of the Astronautical Sciences, Vol. 36, pp. 245-258, 1988.
14. MARKLEY, F. L. "Attitude Determination Using Vector Observations: A Fast Optimal Matrix Algorithm," The Journal of the Astronautical Sciences, Vol. 41, No. 2, April-June 1993, pp. 261-280.
15. MORTARI, D. "ESOQ: A Closed-Form Solution to the Wahba Problem," The Journal of the Astronautical Sciences, Vol. 45, No. 2, April-June 1998, pp. 328-334.
16. MORTARI, D. "Second Estimator of the Optimal Quaternion," Journal of Guidance, Control, and Dynamics, Vol. 23, No. 5, September-October 2000, pp. 885-888.
17. MARKLEY, F. L. and MORTARI, D. "Quaternion Attitude Estimation Using Vector Observations," The Journal of the Astronautical Sciences, Vol. 48, Nos. 2 and 3, April-September 2000, pp. 359-380.
18. SHUSTER, M. D. "The Quaternion in the Kalman Filter," presented as paper AAS-93-553 at the AAS/AIAA Astrodynamics Specialists Conference, Victoria, British Columbia, Canada, August 16-19, 1993; Advances in the Astronautical Sciences, Vol. 85, 1993, pp. 25-37.
19. SHUSTER, M. D. "Constraint in Attitude Estimation, Part I: Constrained Estimation," The Journal of the Astronautical Sciences, Vol. 51, No. 1, January-March 2003, pp. 51-74.
20. SHUSTER, M. D. "Constraint in Attitude Estimation, Part II: Unconstrained Estimation," The Journal of the Astronautical Sciences, Vol. 51, No. 1, January-March 2003, pp. 75-101.
21. MORTARI, D., MARKLEY, F. L., and JUNKINS, J. L. "Optimal Linear Attitude Estimator of Spacecraft Attitude (OLAE)," presented as paper AAS-00-129 at the AAS/AIAA Spaceflight Mechanics Meeting, Clearwater, Florida, January 23-26, 2000; Advances in the Astronautical Sciences, Vol. 105, 2000, pp. 465-477.
22. SHUSTER, M. D. "Man, Like These Attitudes Are Totally Random!: I. Quaternions," presented as paper AAS-01-125 at the AAS/AIAA Spaceflight Mechanics Meeting, Santa Barbara, California, February 11-15, 2001; Advances in the Astronautical Sciences, Vol. 108, December 2001, pp. 383-396.
23. SHUSTER, M. D. "Man, Like These Attitudes Are Totally Random!: II. Other Representations," presented as paper AAS-01-126 at the AAS/AIAA Spaceflight Mechanics Meeting, Santa Barbara, California, January 2001; Advances in the Astronautical Sciences, Vol. 108, December 2001, pp. 397-408.
24. SHUSTER, M. D. "Uniform Attitude Probability Distribution," The Journal of the Astronautical Sciences, Vol. 51, No. 4, October-December 2004.
25. SHUSTER, M. D. "In Quest of Better Attitudes," presented as paper AAS-01-250 at the 11th AAS/AIAA Spaceflight Mechanics Meeting, Santa Barbara, California, February 11-15, 2001; Advances in the Astronautical Sciences, Vol. 108, 2001, pp. 2089-2117.
26. SHUSTER, M. D. and NATANSON, G. A. "Quaternion Computation from a Geometric Point of View," The Journal of the Astronautical Sciences, Vol. 41, No. 4, October-December 1993, pp. 545-556.
27. FRANKLIN, G. F., POWELL, J. D., and EMAMI-NAEINI, A. Feedback Control of Dynamics Systems, Addison-Wesley, 1991.
28. FARRENKOPF, R. A. "Analytic Steady-State Solutions for Two Common Spacecraft Attitude Estimators," Journal of Guidance and Control, Vol. 1, No. 4, July-August 1978, pp. 282-284.
29. MARKLEY, F. L. and REYNOLDS, R. G. "Analytic Steady-State Accuracy of a Spacecraft Attitude Estimator," Journal of Guidance, Control, and Dynamics, Vol. 23, No. 6, November-December 2000, pp. 1065-1067.