Euler angle sequences
EulerAngleSequences
2005-08-14 16:36:29
2005-08-14 16:36:29
Definition
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A list of the Euler angle rotation matrics for different sequences
1-2-3
$ R_3(\psi)R_2(\theta)R_1(\phi) = \left[ \begin{array}{ccc}
c_{\psi} c_{\theta} & c_{\psi} s_{\theta} s_{\phi} + s_{\psi} c_{\phi} & -c_{\psi} s_{\theta} c_{\phi} + s_{\psi} s_{\phi} \\
-s_{\psi} c_{\theta} & -s_{\psi} s_{\theta} s_{\phi} + c_{\psi} c_{\phi} & s_{\psi} s_{\theta} c_{\phi} + c_{\psi} s_{\phi} \\
s_{\theta} & -c_{\theta} s_{\phi} & c_{\theta} c_{\phi} \end{array} \right] $