DocumentCode
1151359
Title
A Norm and Orthogonality Preserving Algorithm
Author
Hyslop, Gregory L.
Author_Institution
McDonnell Douglas Astronautics Company
Issue
6
fYear
1987
Firstpage
731
Lastpage
737
Abstract
The numerical solution of differential equations for directioncosine matrices and quaternions is fundamental to many inertialnavigation systems. Algorithms based on Padé approximants areshown to preserve the normality of quaternions and orthogonality ofdirection cosine matrices. An error analysis shows improvedperformance over conventional algorithms.
Keywords
Bibliographies; Differential equations; Error analysis; Inertial navigation; Polynomials; Quaternions;
fLanguage
English
Journal_Title
Aerospace and Electronic Systems, IEEE Transactions on
Publisher
ieee
ISSN
0018-9251
Type
jour
DOI
10.1109/TAES.1987.310910
Filename
4104429
Link To Document