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Fixed syntax errors in the latex code.
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iamazadi committed Sep 10, 2024
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2 changes: 1 addition & 1 deletion docs/src/reactionwheelunicycle.md
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Expand Up @@ -84,7 +84,7 @@ Description = "How the reaction wheel unicycle works."

``{\Omega}_w = \begin{bmatrix} 0 \\ \dot{\theta} \\ 0 \\ 0 \end{bmatrix} + \begin{bmatrix} \dot{\alpha} \\ 0 \\ 0 \\ 0 \end{bmatrix} + {}_g^{w2}T \times \begin{bmatrix} 0 \\ 0 \\ \dot{\delta} \\ 0 \end{bmatrix} = \begin{bmatrix} 0 \\ \dot{\theta} \\ 0 \\ 0 \end{bmatrix} + \begin{bmatrix} \dot{\alpha} \\ 0 \\ 0 \\ 0 \end{bmatrix} + {}_{w2}^gT^{-1} \times \begin{bmatrix} 0 \\ 0 \\ \dot{\delta} \\ 0 \end{bmatrix} = \begin{bmatrix} \dot{\alpha} \\ \dot{\theta} + \dot{\delta} sin(\alpha) \\ \dot{\delta} cos{\alpha} \end{bmatrix}``

``{\Omega}_c = \begin{bmatrix} 0 \\ \dot{\beta} \\ 0 \\ 0 \end{bmatrix} + {}_{w2}^cT \times \begin{bmatrix} \dot{\alpha} \\ 0 \\ 0 \\ 0 \end{bmatrix} + {}_g^cT \times \begin{bmatrix} 0 \\ 0 \\ \dot{\delta} \\ 0 \end{bmatrix} = \begin{matrix} 0 \\ \dot{\beta} \\ 0 \\ 0 \end{bmatrix} + {}_c^{w2T^{-1} \times \begin{bmatrix} \dot{\alpha} \\ 0 \\ 0 \\ 0 \end{bmatrix} + {}_c^gT^{-1} \times \begin{bmatrix} 0 \\ 0 \\ \dot{\delta} \\ 0 \end{bmatrix} = \begin{bmatrix} \dot{\alpha} cos{\beta} - \dot{\delta} cos(\alpha) sin(\beta) \\ \dot{\beta} + \dot{\delta} sin(\alpha) \\ \dot{\alpha} sin(\beta) + \dot{\delta} cos(\alpha) cos(\beta) \end{bmatrix}``
``{\Omega}_c = \begin{bmatrix} 0 \\ \dot{\beta} \\ 0 \\ 0 \end{bmatrix} + {}_{w2}^cT \times \begin{bmatrix} \dot{\alpha} \\ 0 \\ 0 \\ 0 \end{bmatrix} + {}_g^cT \times \begin{bmatrix} 0 \\ 0 \\ \dot{\delta} \\ 0 \end{bmatrix} = \begin{bmatrix} 0 \\ \dot{\beta} \\ 0 \\ 0 \end{bmatrix} + {}_c^{w2}T^{-1} \times \begin{bmatrix} \dot{\alpha} \\ 0 \\ 0 \\ 0 \end{bmatrix} + {}_c^gT^{-1} \times \begin{bmatrix} 0 \\ 0 \\ \dot{\delta} \\ 0 \end{bmatrix} = \begin{bmatrix} \dot{\alpha} cos(\beta) - \dot{\delta} cos(\alpha) sin(\beta) \\ \dot{\beta} + \dot{\delta} sin(\alpha) \\ \dot{\alpha} sin(\beta) + \dot{\delta} cos(\alpha) cos(\beta) \\ 0 \end{bmatrix}``

``{}_r^{w2}T = {}_{w2}^gT \times {}_r^gT``

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