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Display information for equation id:math.1411.172 on revision:1411
* Page found: Symmetrien und Erhaltungsgrößen (eq math.1411.172)
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Hash: 29d02de6409a586ef85dfb308816d203
TeX (original user input):
\begin{align}
& m\ddot{r}\dot{r}-\frac{{{l}^{2}}}{m{{r}^{3}}}\dot{r}+\dot{r}V\acute{\ }(r)=0 \\
& m\ddot{r}\dot{r}=\frac{d}{dt}\left( \frac{m}{2}{{{\dot{r}}}^{2}} \right) \\
& \frac{{{l}^{2}}}{m{{r}^{3}}}\dot{r}=\frac{d}{dt}\left( -\frac{{{l}^{2}}}{2m{{r}^{2}}} \right) \\
& \dot{r}V\acute{\ }(r)=\frac{d}{dt}V(r) \\
\end{align}
TeX (checked):
{\begin{aligned}&m{\ddot {r}}{\dot {r}}-{\frac {{l}^{2}}{m{{r}^{3}}}}{\dot {r}}+{\dot {r}}V{\acute {\ }}(r)=0\\&m{\ddot {r}}{\dot {r}}={\frac {d}{dt}}\left({\frac {m}{2}}{{\dot {r}}^{2}}\right)\\&{\frac {{l}^{2}}{m{{r}^{3}}}}{\dot {r}}={\frac {d}{dt}}\left(-{\frac {{l}^{2}}{2m{{r}^{2}}}}\right)\\&{\dot {r}}V{\acute {\ }}(r)={\frac {d}{dt}}V(r)\\\end{aligned}}
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