Communications Satellite Is In Circular Orbit Around Earth

A communications satellite is in a circular orbit around Earth at radius R and velocity v. A rocket accidentally fires quite suddenly, giving the rocket an outward radial velocity v in addition to its original velocity.
(a) Calculate the ratio of the new energy and angular momentum to the old.
(b) Describe the subsequent motion of the satellite and plot T(r), V(r), U(r), and E(r) after the rocket fires.

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