OK, You can't find a motor locally and they are really expensive to ship to you..
How bad is the original motor? Are the windings still OK? If the windings are OK you can probably resurrect it. New bearings, staking shafts and journals and of course epoxy like JB weld where they are made up of 90% metal. No telling how long these fixes will last. Vibrators are really rough on bearings, shafts and journals.
It doesn't seem to be possible to open up by normal means; I'd have to cut the casing off. At least the rust has already started that process ;) I had at one point had a theory that perhaps the motor had gotten clogged up by clay, but the shaft spins freely, so I don't think that's the problem; my best bet is some sort of short. I can't assess the winding state with the casing on, apart from to say that clearly at least
something is making it throw breakers when I plug it in (and it doesn't spin either). I can see a bit of the windings (I think its windings) through the ventilation holes - enough to see that they look rather iffy (tarnished / dirty, maybe even "bent"), but not well enough to be able to tell if they're burned out.
Your motor cost in last tread is what i pay for a farm duty 1 Hp.
Does that mean it's expensive or it's cheap?
Both of the grainger links posted in this thread go to the same page for me - the motor selector page, of which I don't know what I'm supposed to punch in, as my motor has no writing on it (probably did at some point in the distant past).
Most Beacon star motors that I remember were not fancy. I did look up replacements for the motor you listed for lortone A O Smith 1/6 hp (just type into your search bar) and you will get other choices.
I don't know what you mean. Typing in "BeaconStar" in the search bar yields no results. Typing "Beacon Star" in the search bar yields things that aren't motors. Typing "lortone A O Smith 1/6 hp" yields "Motor, 3 HP, 460V, 5/8 In. Double Shaft" for $1,275.00 and "Motor 1/2HP 200-230/460V 60Hz 3Ph 1Spd" for $543.50. Punching in the model cited by Diamond Pacific as a possible replacement (690-42-5000) yielded nothing. Tried looking up the model on Diamond Pacific's catalogue... but it says nothing about the motor apart from that it's for their Double Deck lap and that it's described as "110V Motor, Cord, Switch". :Þ Let's see... cross-referencing the Double Deck lap with their website I see that it has a 1/8 hp motor. Although that's certainly not enough information to fill out the Grainger motor-finder page.