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Homework Statement
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 I am 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..
Homework Equations
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!