Hi
Let a classical particle with unit mass subjected to a radial potential V and moving in a plane.
The Hamiltonian is written using polar coordinates (r,\phi)
H(r,\phi) = \frac{1}{2}(\dot{r}^2+r^2\dot{\phi}^2) - V(r)
I consider the angular momentum modulus C=r^2\dot{\phi},
and I...