Anti-conservationists decide to get rid of the moon.

a) Calculate the velocity increment \Deltav required for the moon to escape earth. Lunar lovers want the moon closer to earth.

b) Calculate the minimum total velocity increment to bring the moon closer to the Earth by 2x105 km.

c) Compare and explain your answers in a) and b) and calculate the largest % drop in moon orbit radius that could be achieved using the same total velocity increment as the anti-conservationists.