Simply find/discover a vehicle that looks like this (they are all over the moon's surface!!):
There are two seats you can climb into. You want the rear one (without the steering wheel). Climb on using
to prime the missile for launch, then
to initiate the launch. Do this ten times to unlock the achievement.
I recommend discovering this vehicle. There's a good chance the missile will land nearby and blow it up (meaning you'll have to find another or place one with the Discovery Tool).
Also, once one of the other astronauts got in the drivers seat and drove me off the edge of the world, so be aware that they might not like you adding crater holes to their playground!!