Although, now that I think about it some more, you'd probably want to be very certain of all the math before you turn a nontrivial amount of the Moon's surface

Although, now that I think about it some more, you'd probably want to be very certain of all the math before you turn a nontrivial amount of the Moon's surface into liquid molten rock belching out superheated gas. It would be a bummer if you, for example, were to accelerate the Moon into falling into the Earth (again).