From 909a8d4b0b75d2ec92a32a040adbc4b46816252c Mon Sep 17 00:00:00 2001 From: Mohammad Javad Azadi Date: Tue, 10 Sep 2024 09:42:47 -0700 Subject: [PATCH] Fixed syntax errors in the latex code. --- docs/src/reactionwheelunicycle.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/docs/src/reactionwheelunicycle.md b/docs/src/reactionwheelunicycle.md index 4e68809..d93bbde 100644 --- a/docs/src/reactionwheelunicycle.md +++ b/docs/src/reactionwheelunicycle.md @@ -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``