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A particle of mass m is moving in an attractive inverse cubed force given by

F = -K/r^3, where K>0

a) Find V(r) and plot V(r) versus r.

b) Discuss the motion qualitatively by the method of effective potential.

C) Find E and L when the particle is moving in a circular orbit.

d) Find the time period of the orbit.

e) If the orbit is perturbed slightly, what will be the period of small oscillations?