For each of the potentials below check if a circular orbit is possible or not.
- $\displaystyle{ -V_0 {\exp(-\alpha r)\over r}}$
- $\displaystyle -{ \alpha \over r^4}$
- $\displaystyle -{\alpha \over r^2}$
If the orbit exists, relate the radius of the orbit to the angular momentum and energy.
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4727:Diamond Point
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