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direction cosine matrix to quaternions (Definition)

The fourth quaternion can be found through the definition given for the axis of rotation (see axis angle of rotation), $\alpha$

$\displaystyle q_4 = +/- \dfrac{1}{2} \sqrt{A_{11} + A_{22} + A_{33} + 1}$ (1)



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Cross-references: axis angle of rotation

This is version 2 of direction cosine matrix to quaternions, born on 2005-08-29, modified 2005-08-29.
Object id is 91, canonical name is DirectionCosineMatrixToQuaternions.
Accessed 1658 times total.

Classification:
Physics Classification: 45.40.-f (Dynamics and kinematics of rigid bodies)
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