1. The problem statement, all variables and given/known data Ok so I'm told that there is a satellite mass m in a circular orbit of radius ro around the earth (of mass M). I'm told the speed of the satellite is vo. So i've shown that Eo = total energy of satellite = -1/2mvo^2 Now im told that whilst the satellite is in its circular orbit, there is an impulse that leaves its angular momentum unchanged but increases its kinetic energy by 1% I'm told to find the difference between the maximum and minimum distances from the centre of the earth.. 2. Relevant equations 3. The attempt at a solution So I know that after the impulse, it will follow an elliptical path. Energy eqn for non-circular orbit is: 1/2 m (dr/dt)^2 + J^2/2mr^2 - GMm/r = E So I know J = J initial = mvoro but all i know is that its kinetic energy has increased by 1%, not its total, so how can i get an expression for E to solve the problem? thanks!