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= \frac{\mathbf{r}\cdot\dot{\mathbf{r}}}{r}|}}is the radial velocity and = \frac{\mathbf{r}\cdot\ddot{\mathbf{r}}}{r} - \frac{(\mathbf{r}\cdot\dot{\mathbf{r}})^2}{r^3} + \frac{\dot{\mathbf{r}}\cdot\dot{\mathbf{r}}}{r}|}}is the radial acceleration. If one substitutes this into the Weber force , one obtains with and the alternative representation{r^3}\left(1 + \frac{v^2}{c^2} -\frac{3}{2} \left(\frac{\mathbf{r}}{r}\cdot\frac{\mathbf{v}}{c}\right)^2 +\frac{\mathbf{r}\cdot\mathbf{a}}{c^2}\right). |}}For

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