A booster rocket on a satellite that is in a circular oribit around Earth fires suddenly, and it is found that the velocity of rocket has an outward radial velocity v in addition to its original velocity. Find (a) Calculate the new energy and angular momentum, and the ratio of new to old values. (b) Plot kinetic, potential and total energy of after the rocket burn as a function of time.

A booster rocket on a satellite that is in a circular oribit around Earth fires suddenly, and it is found that the velocity of rocket has an outward radial velocity v in addition to its original velocity. Find (a) Calculate the new energy and angular momentum, and the ratio of new to old values. (b) Plot kinetic, potential and total energy of after the rocket burn as a function of time.