Asteroid IIF-441, a class C Asteroid, enters Kerbin’s gravitational sphere of influence… and Retriever 1 burns to match planes!
Then, Retriever expands its orbit past that of the asteroid’s!
Then, with the Asteroid nearing it’s closest point with Kerbin, Retriever 1 burns it’s engine to intercept!
The maneuvers all require extreme precision! Once Retriever is close enough though, it’s fairly similar to docking with a ship in orbit!
Remarkably, Retriever 1 moves in closer to the Asteroid, having matched course!
Using RCS thrusters only, Retriever 1 moves in closer and closer…
…until it docks with the Asteroid!
“… it worked! It worked!”
-Orlas, onboard Kerbin Spaceport
Next, Retriever 1 uses what is left of it’s fuel to capture the asteroid into a circular orbit of Kerbin!
There isn’t enough fuel for a perfect orbit, but a highly elliptical orbit IS achieved, and the asteroid orbits Kerbin! Plans are immediately drawn to launch Retriever 2, to bring the Asteroid in to a closer location… and allow Kerbals to explore it!