A Norm and Orthogonality Preserving Algorithm

A Norm and Orthogonality Preserving Algorithm

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 sh...

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Veröffentlicht in:IEEE transactions on aerospace and electronic systems 1987-11, Vol.AES-23 (6), p.731-737
1. Verfasser: Hyslop, Gregory L.
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
Bibliographies
Differential equations
Error analysis
Exact sciences and technology
Inertial navigation
Polynomials
Quaternions
Radiolocalization and radionavigation
Telecommunications
Telecommunications and information theory
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Zusammenfassung: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.
ISSN:0018-9251
1557-9603
DOI:10.1109/TAES.1987.310910