Instructions (just a suggestion on how I did it):
Switch to the plane first, by clicking on it, clicking the Command Chip button, and switching to the craft.
Throttle up, and take off at about 55 m/s.
Don't turn around to land until you're about 3 km away from the platform (unless you're really skilled lol)
Put the throttle to zero, set brake slider to 100%
When you're about 900 m away, throttle up with the brake slider still up, this activates the thrust reversers. Don't slow down too much, but slow down to where you're comfortable.
Touch down at the end of the runway so you have plenty of room to slow down. I put the brake torque all the way up so the plane slows a lot faster better.
The yellow command pod has astronauts in it.
Enjoy! (and don't time warp, it makes it sort of go under water.)