naa a22 4500 51077413X CHVBK 20180411083224.0 cr unu---uuuuu 180411e20131201xx s 000 0 eng 10.1007/s40295-015-0049-x doi (NATIONALLICENCE)springer-10.1007/s40295-015-0049-x Markley F. Aerospace Engineer Emeritus, Attitude Control Systems Engineering Branch, NASA Goddard Space Flight Center, Greenbelt, MD, USA aut Equivalence of Two Solutions of Wahba's Problem [Elektronische Daten] [F. Markley] Many attitude estimation methods are based on an optimization problem posed in 1965 by Grace Wahba. All these methods yield the same optimal estimate, except for inevitable computer roundoff errors. This note shows shows that Shuster's Quaternion Estimator (QUEST) and Mortari's Estimator of the Optimal Quaternion (ESOQ) are essentially identical even in the presence of roundoff errors. It also shows some connections between two other algorithms for solving Wahba's problem: Davenport's q method and the Singular Value Decomposition (SVD) method. American Astronautical Society (Outside the U.S.), 2015 Attitude estimation nationallicence Wahba's problem nationallicence The Journal of the Astronautical Sciences Springer US; http://www.springer-ny.com 60/3-4(2013-12-01), 303-312 0021-9142 60:3-4<303 2013 60 40295 https://doi.org/10.1007/s40295-015-0049-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s40295-015-0049-x text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Markley F. Aerospace Engineer Emeritus, Attitude Control Systems Engineering Branch, NASA Goddard Space Flight Center, Greenbelt, MD, USA aut NATIONALLICENCE 773 0- The Journal of the Astronautical Sciences Springer US; http://www.springer-ny.com 60/3-4(2013-12-01), 303-312 0021-9142 60:3-4<303 2013 60 40295 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer