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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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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description 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.
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source IEEE Electronic Library (IEL) Journals
subjects Constraint optimization
Loss measurement
Protection
Quaternions
Satellites
Space vehicles
Symmetric matrices
US Government
Weight measurement
title Unconstrained optimal transformation matrix
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