NOTE- PLEASE DON'T ANSWER HERE. I'M DELETING HERE AND MOVING TO SPACE EXPLORATION SE. https://space.stackexchange.com/questions/32411/the-dreaded-apocalyptic-asteroid-approaches-earth-but-lands-safely-on-the-moon
AT THE MOMENT I AM UNABLE TO DELETE - THE MODS HAVE BEEN ALERTED
An asteroid approaches and the Moon 'catches' it in the same way that a sports player catches a ball - that is to say by matching the velocity of the hand to that of the ball.
Could a lucky slingshot approach cause this to happen?
Assuming that the Moon has no atmosphere, my intuition tells me that there must be a direction and velocity such that an asteroid can do this. Does mathematics say otherwise?
In orbital mechanics and aerospace engineering, a gravitational slingshot, gravity assist maneuver, or swing-by is the use of the relative movement (e.g. orbit around the Sun) and gravity of a planet or other astronomical object to alter the path and speed of a spacecraft