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Embedding of attitude determination in n-dimensional spacesThe problem of attitude determination in n-dimensional spaces is addressed. The proper parameters are found, and it is shown that not all three-dimensional methods have useful extensions to higher dimensions. It is demonstrated that Rodriguez parameters are conveniently extendable to other dimensions. An algorithm for using these parameters in the general n-dimensional case is developed and tested with a four-dimensional example. The correct mathematical description of angular velocities is addressed, showing that angular velocity in n dimensions cannot be represented by a vector but rather by a tensor of the second rank. Only in three dimensions can the angular velocity be described by a vector.
Document ID
19880063016
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Bar-Itzhack, Itzhack Y.
(NASA Goddard Space Flight Center Greenbelt, MD, United States)
Markley, F. Landis
(NASA Goddard Space Flight Center Greenbelt, MD, United States)
Date Acquired
August 13, 2013
Publication Date
January 1, 1988
Subject Category
Numerical Analysis
Report/Patent Number
AIAA PAPER 88-4146
Meeting Information
Meeting: AIAA Guidance, Navigation and Control Conference
Location: Minneapolis, MN
Country: United States
Start Date: August 15, 1988
End Date: August 17, 1988
Sponsors: AIAA Guidance
Accession Number
88A50243
Distribution Limits
Public
Copyright
Other

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