A satellite of mass m is in a circular orbit with orbital radius R around a planet of mass M.

1) Find the impulse (=sudden change in momentum p) that must be given to the satellite so that it just barely escapes to infinity, if the impulse is delivered tangential to the circular orbit. -- 2 possible answer

2) Find the impulse p that must be given to the satellite so that it just barely escapes to infinity if the impulse is delivered orthogonal to the plane of the circular orbit.