Angular velocity tensor: Difference between revisions

Revision as of 07:32, 8 April 2008

Revision as of 13:07, 31 July 2008

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==Coordinate-free description==

At aany given time instanceinstant, <math>t</math>, the angular velocity tensor is a linear map between the position vectors <math> \mathbf{r}(t) </math>

and their velocity vectors <math> \mathbf{v}(t) </math> of a rigid body rotating around the origoorigin:

:<math> \mathbf{v} = T\mathbf{r} </math>