Determine the energy of the orbiting object

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Reference no: EM13332477

An object of mass m moves in a circular orbital under the influence of an harmonic oscillator potential U(r)=1/2(alpha)r^2 where alpha is constant and r is measured from the center of the circle. Since the center of circular orbit and the force center coincide, the force must always be directed radially inward toward the center of the circle. Use this fact to show that the orbital period is independent of the radius of the orbit.

Determine the energy of the orbiting object and its angular momentum as functions of the orbital radius r.

Reference no: EM13332477

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