Unconstrained optimal transformation matrix

We generalize Brock's minimization of the loss function proposed by Wahba to give a least-squares estimate of satellite attitude. We follow Brock in relaxing Wahba's requirement that the minimizing attitude matrix be orthogonal, and discuss the statistical properties of our new solution an...

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Bibliographic Details
Published in:IEEE transactions on aerospace and electronic systems 1998-01, Vol.34 (1), p.338-340
Main Authors: Markley, F.L., Bar-Itzhack, I.Y.
Format: Article
Language:English
Subjects:
Constraint optimization
Loss measurement
Protection
Quaternions
Satellites
Space vehicles
Symmetric matrices
US Government
Weight measurement
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Summary:We generalize Brock's minimization of the loss function proposed by Wahba to give a least-squares estimate of satellite attitude. We follow Brock in relaxing Wahba's requirement that the minimizing attitude matrix be orthogonal, and discuss the statistical properties of our new solution and its relation to existing attitude estimation algorithms.
ISSN:0018-9251
1557-9603
DOI:10.1109/7.640293