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I have the following differential equation: $$ \alpha R^T (d_s^0 \times T_s^0) = \ddot{R}^T d_s^0$$ where $\alpha$ is a constant, $d_s^0 \perp T_s^0$ known constant vectors and $R^T$ is a rotation matrix. I don't know how to solve for $\ddot{R}^T$

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    Double dot is some notation for double derative wrt time..? Could with good to clarify as there can often be a large variation of notation used on this side.2017-02-16
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    Yes $\ddot{R^T}$ is the double derivative with respect to time2017-02-16

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