Here's a better Mining tut,
Ok, so mining can be done at any planet that has a mining facility, to find the mining facility type "map mining" or map mini as Quinnr said if you want to save 3 seconds by not typing 2 letters.
once you get there type START, this starts your mining expedition, it cost 500,000 to rent the mining drones / pay for any damage you might do to them. once you're down in the mines a floating platform with all the mining drones will follow you around, use "get drone" or get "drone from platform" to get on from the platform, and then "use drone" to let the drone scan the area, if it finds materials it can mine it will start mining, let it do its job / move on to the next area, take another drone from the platform and set it up. If it doesn't find anything it returns to your hand, set up all the drones digging and let them dig for a little while, then pick them all up and put them back on the platform, with "get drone" and "put drone on platform" You can move further down the mine and re deploy the drones to mine more, use "look drone" to see if the drone is still working / how full it is. Once you're done put all the drones back on the floating platform and return to the entrance to the mine. I don't remember the command for leaveing, it's like "enter transport" or something like that. this will send you back to the space station, once you get back there you will be paid for how much material you got the drones to mine.
don't get lost in the mine, which is something that is very easy to do.