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[QUE/ME-12001] Circular Orbits

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Consider a particle moving in a spherically symmetric potential \[ V(r) = \frac{1}{2}m \omega^2 r^2 + \frac{\lambda^2}{2mr^2}\] Obtain condition for circular orbits for angular momentum \(L\ne0\).

When angular momentum is zero, \(L=0\) will there be a circular orbit?
Assume angular momentum is zero, \(L=0\), and that the condition for circular orbit to holds, discuss possible types of motion that can take place.

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4727:Diamond Point

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