On the other hand, the European Space Station, orbiting around 200 miles up, travels around the planet at about 17141 mph, whilst a satellite in geostationary orbit, around 32000 miles up, only travels at around 9400 mph.If you are following another ship in orbit and want to catch up to dock, what do you do? Fire your engines to speed up, or slow down?
Might surprise some that the answer is the latter. A reduction in speed drops you into a lower orbit, which will mean you get around the moon or planet in les time, ergo you'll catch up. You can then speed up to, erm, slow down as it were.
Space is weird and wonderful.