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) Find the impulse Dp 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.