Revision as of 19:56, 11 June 2021

Euler Angles

$[\begin{matrix} x \\ y \\ z \end{matrix}]$

$Z_{1} X_{2} Z_{3}$

$=$

$[\begin{matrix} (c_{1} c_{3} - c_{2} s_{1} s_{3}) & (- c_{1} s_{3} - c_{2} C_{3} s_{1}) & (s_{1} s_{2}) \\ (c_{3} s_{1} + c_{1} c_{2} s_{3}) & (c_{1} c_{2} c_{3} - s_{1} s_{3}) & (- c_{1} s_{2}) \\ (s_{2} s_{3}) & (c_{3} s_{2}) & (c_{2}) \end{matrix}]$

@@ Line 17: / Line 17: @@
 <math>
 \begin{bmatrix}
-(c_1c_3 - c_2s_1s_3) ~~~~~ (-c_1s_3 - c_2C_3s_1) ~~~~~~ (s_1s_2) \\
+(c_1c_3 - c_2s_1s_3) & (-c_1s_3 - c_2C_3s_1) & (s_1s_2) \\
-(c_3s_1 + c_1c_2s_3) ~~~~~ (c_1c_2c_3 - s_1s_3)  ~~~~ (-c_1s_2) \\
+(c_3s_1 + c_1c_2s_3) & (c_1c_2c_3 - s_1s_3)  & (-c_1s_2) \\
-(s_2s_3)~~~~~~~~~~~(c_3s_2) ~~~~~~~~~~~~~~~~ (c_2)
+(s_2s_3) & (c_3s_2) & (c_2)
 \end{bmatrix}
 </math>

Appendix/Mathematics/EulerAngles: Difference between revisions

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Euler Angles

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Appendix/Mathematics/EulerAngles: Difference between revisions

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Euler Angles

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