Embedding of attitude determination in n-dimensional spaces
Embedding of attitude determination in n-dimensional spaces
- New search for: Bar-Itzhack, Itzhack Y.
- New search for: Markley, F. Landis
- New search for: Bar-Itzhack, Itzhack Y.
- New search for: Markley, F. Landis
The 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 information
Embedding of attitude determination in n-dimensional spaces
AIAA Guidance, Navigation and Control Conference ; 1988 ; Minneapolis, MN, United States
1988-01-01
Conference paper
No indication
English
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