Angular velocity tensor: Difference between revisions

Revision as of 11:30, 14 June 2007

Revision as of 12:33, 14 June 2007

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</math>

Itwhere hasA theis an [[orientation matrix]]. It importantallows propertyus thatto whenexpress the [[cross product]]

:<math>\boldsymbol\omega(t) \times A(t)\mathbf{r}_0 </math>

isas written with thea matrix multiplication. (AIt is, anby [[orientation matrix]])definition, this matrix is a [[skew-symmetric matrix]] with zeros on the main diagonal and plus and minus the components of the angular velocity as the other elements,.

is written with the matrix multiplication (A is an [[orientation matrix]]), this matrix is a [[skew-symmetric matrix]] with zeros on the main diagonal and plus and minus the components of the angular velocity as the other elements,

== See also ==