It's not quite Armageddon, but NASA's revealed a concept video animation detailing how it would find, capture, re-direct, and study a near-Earth asteroid. In the animation by NASA, you can see a crew of astronauts taking off on the Orion spacecraft and using the Moon to swing onto the captured asteroid.
In NASA's plans, Orion would latch onto the robotic asteroid capture vehicle where the astronauts would spacewalk (or maybe space rock climb is a better word) to grab samples from the asteroid. Looks like a lot of fun. [NASA]