- #1

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$$ \sum \vec{r}\wedge m\vec{v}=F(\vec{r},t)$$

It seems that for a general lagrangian we can't derive angular momentum conservation unless additional hypotheses are introduced concerning the form of the lagrangian function. For instance if we work with the concrete lagrangian ##L=\sum \frac{1}{2}mv^2-U(\vec{r},\dots)## we do get ##F(\vec{r},t)=const##, however for a general lagrangian, as I said before, we don't know. All this also applies to special relativity mechanics.

I would appreciate any comments.