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-#+TITLE:Polar Coordinates
-#+SETUPFILE: ../math_options.org
-#+LATEX_HEADER: \usepackage{bm}
-#+LATEX_HEADER: \usepackage{mathtools}
-#+LATEX_HEADER: \newcommand{\deriv}[2]{\frac{\text{d}#1}{\text{d}#2}}
-#+LATEX_HEADER: \newcommand{\unitv}[1]{\bm{\hat{e}}_#1}
-
-* Disclaimer
-This site as of now just a technology demonstration and its claims
-should not be taken as true (even though I myself am pretty confident
-they are)
-* Coordinate transformations
-\begin{align*}
-x &= r \cos\theta\\
-y &= r \sin\theta
-\end{align*}
-
-* Local unit vectors
-\begin{align*}
-\unitv{r} &= \cos\theta \unitv{x} + \sin\theta \unitv{y}\\
-\unitv{\theta} &= -\sin\theta \unitv{x} + \cos\theta \unitv{y}
-\end{align*}
-
-* Kinematic in polar coordinates
-** Time derivatives of the local unit vectors
-\begin{align*}
-\deriv{\unitv{r}}{t} &= \dot{\theta}\unitv{\theta}\\
-\deriv{\unitv{\theta}}{t} &= -\dot{\theta}\unitv{r}
-\end{align*}
-** Position vector and its time derivatives
-\begin{align*}
-\bm{r} &= r\unitv{r}\\
-\bm{v} &= \dot{r}\unitv{r} + r\dot\theta\unitv{\theta}\\
-\bm{a} &= \left(\ddot{r} - r\dot\theta^2\right)\unitv{r}
-+ \left(2\dot{r}\dot\theta + r\ddot\theta\right)\unitv{\theta}
-\end{align*}