ESOQ: A closed-form solution to the Wahba problem

Journal of the Astronautical Sciences

Volumn 45, Issue 2, 1997, Pages 195-204

  Mortari, Daniele ^a,b  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

^b AAS ^*  (Norway)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ESTIMATION; OPTIMIZATION; POSITION MEASUREMENT; PROBLEM SOLVING; SPACECRAFT; VECTORS;

ATTITUDE DETERMINATION; ATTITUDE ESTIMATION; CLOSED FORM SOLUTIONS; CLOSED-FORM EXPRESSION; FOUR-DIMENSIONAL SPACE; NONSINGULAR MATRIX; SPACECRAFT ATTITUDE ESTIMATION; VECTOR OBSERVATIONS;

VECTOR SPACES; ALGORITHMS;

SPACECRAFT ORIENTATION; WAHBA PROBLEM;

EID: 0031108406     PISSN: 00219142     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. WAHBA, G. "A Least-Squares Estimate of Spacecraft Attitude," SIAM Review, Vol. 7, No. 3, 1965, p. 409.
2. MARKLEY, F.L. "Attitude Determination Using Vector Observations and the Singular Value Decomposition," Journal of the Astronautical Sciences, Vol. 36, No. 3, July-September 1988, pp. 245-258.
3. WERTZ, J.R. (editor) Spacecraft Attitude Determination and Control, D. Reidel Publishing Co., Dordrecht, The Netherlands, 1st ed., Vol. 73, 1973, pp. 427-428.
4. SHUSTER, M.D., and OH, S.D. "Three-Axis Attitude Determination from Vector Observations," Journal of Guidance and Control, Vol. 4, No. 1, 1981, pp. 70-77.
5. MORTARI, D. "Energy Approach Algorithm for Attitude Determination from Vector Observations," Journal of the Astronautical Sciences, Vol. 45, No. 1, January-March 1997, pp. 1-20.
6. MORTARI, D. "Euler-2 and Euler-n Algorithms for Attitude Determination from Vector Observations," Space Technology, Vol. 16, Nos. 5-6, 1996, pp. 317-321.
7. MORTARI, D. "Euler-q Algorithm for Attitude Determination from Vector Observations," Advances in the Astronautical Sciences, Vol. 93, Pt. II, 1995, pp. 1009-1020.
8. MORTARI, D. "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.
9. PRESS, W.H., FLANNERY, B.P., TEULOSKY, S.A., and VETTERLING, W.T. Numerical Recipes, Cambridge University Press, 1986, pp. 145-146.
10. ABRAMOWITZ, M., and STEGUN, I.A. (editor) Handbook of Mathematical Functions, Dover Publications Inc., New York, IX Edition, December 1972, pp. 17-18.