DuracellEnergizer said:
Maybe Bespin is close enough to Hoth to allow the Falcon to get there on sublight alone. And who knows how much time passed between the scenes of their departure and arrival? They may have spent several weeks en route.
Not likely. To travel from our sun to Pluto would take an average of 340 light minutes (i.e. if the Falcon were traveling at exactly the speed of light, it would take 340 minutes to do so, more than 5 hours). Now the passage of time is unclear, but what is clear is that the Falcon isn't ever travelling nearly that fast, and it has several hangups between systems. And those 340 light minutes are just to the Kuiper belt and the dwarf planet Pluto, not actually out of our solar system. The next closest star to us is Alpha Centauri (actually two stars), which happen to be about 4.37 lightyears away. Travelling at even a rapid sublight pace would take years. Now obviously Hoth is the Sol sytem and Anoat or Bespin aren't Alpha Centauri, but nevertheless, if Star Wars existed in the real universe, likely similar distances would apply. In the distances they talk about in ESB, it's likely that such close stars would in reality be considered binary stars. Alpha Centauri A and B are about as far apart as Uranus from the sun, or about 24 times the distance of earth to the sun (or 24 AU--Pluto's average distance being about 40 AU). This approximately means about 200 light minutes. Now it is unclear how time passes in ESB. Are they stranded for months before arriving at Bespin? I don't think so. It really seems like no more than a few days.
Gosh, I'm really getting into mumbo jumbo. At the end of the day, it's unlikely that such distances could be traversed in so little time on sublight speeds. We just have to accept that we are in a fantasy universe and enjoy a "perfect" movie where solar systems are unreasonably close and people can walk with gas masks inside an asteroid without their blood boiling and their eyeballs bursting. I still love ESB.
In answer to the original question, it seems like just from OT inferences the Jedi were well known. Ben told Luke they were the guardians of peace and justice. Though not the only police force, it seems they would have been a major fighting force of galaxy-wide renown.