In my sci-fi universe (The same as my first question) it is common throughout the asteroid belt to 'Bump' (somehow cut off and then shove a ship off of an asteroid) miners. Usually this is only done to small scale mining operations that haven't established much on the surface of the asteroid (so they can bump the ship and then re purpose the basic mines they built)
In Warlords (The universe name) ships are usually tied down to asteroids by large re purposed docking cables that are drilled into the Asteroid to ancher the ship. To actually mine the miners use either exo-craft or space walk to the surface of the asteroid to establish the first searcher tunnels on the Asteroid.
Now the part that I'm actually stuck on is the 'how'. I've gotten to the simple 'Cut the cables', but how would you then shove the ship away from the Asteroid? Also for bonus points: Is there any way that you could 'Bump' a ship without severely crippling the ship (So they can limp away and not become a liability), destroying it, or killing the crew (both of these would create a scene most likely)?
Note: Most ships make use of Ion drives normally supplemented or working with Fusion Reactors (the fuel for these I'm still trying to figure out, but He3 seems like a good idea). Finally for quick bursts of speed plasma propulsion using H3 is used. Ship sizes are usually pretty large (In my mind) for mining ships usually having a large family (20-30 individuals) as the basic crew. Being around 100-200 meters in length for the average mining vessel.
Image by Kevin Massey.
PS: I'm going to put the science based tag for now because I want a realistic answer to the bumping question (but I don't want someone to spend hours crunching the numbers)