Docking computer was like the very first thing I would buy. That or a mining laser so I could more quickly get the cash to buy the computer. On the C64 version, it would play Blue Danube in a shout out to 2001, and I still remember the horribly flat note in it (it had to be deliberate, the same note is fine in the rest of the piece). Sometimes it would try to dock with the wrong side of the station, but that usually only happened if you turned it on when on the wrong side already.

Before then, just approach the bay straight on and if you go slow enough, you'll dock fine even if it's perpendicular. Probably differs with whatever version you're playing though.