##-\frac{KM^2}{r^2}+Mr\dot{θ}^2 = M\ddot{r} ##?
The particle , with origin at the center of the sphere .
'r' is the distance from the origin(center of sphere) to the particle . Is it wrong ?
In polar coordinates ,taking origin to be at the center of moving sphere ,the force equation is ##-\frac{KM^2}{r^2}+r\dot{θ}^2 = \ddot{r}## . Am I right ? I am fairly new with polar coordinates . What should be the next step ? Should I conserve angular momentum with respect to the Center of Mass ?