My LR is atleast 5 years old and I actually just replaced the motor in it the second time so I thought I'd share a little how I did it. Unfortunately I don't have pics so I hope brief descriptions will help.
For anyone who has had the motor die on your LR, you probably know that the motor isn't sold seperately and there's nothing available online anywhere that is a direct replacement. So you're stuck buying a new LR, or atleast a new base. But if your LR is off warranty and you're a little adventurous and mechanically inclined, you can probably bring it back to life with almost no money. I went down to a store we have here in Canada called Princess Auto and bought a 12v "Johnson motor" as it is called on their website and it costs $9. It looks like this:
It's WAY, WAY bigger that the factory LR motor but I did get it to work. Here's what I had to do:
-cut the shaft off the Johnson motor about 3/8" from the housing.
-remove the brass gear from the original motor. Not easy to do, I used wire cutters to get under the gear and pry it off. You will damage the teeth a bit but that's OK.
-enlarge the shaft hole in the brass gear with a drill bit. Be careful here as you only have one shot. Don't go too big.
-press fit the brass gear to the new motor. I used a bench vise to do this. One jaw on the brass gear, the other on the rear of the motor where the end of the shaft sticks out.
-the mounting holes on the motor and the LR gearbox lined up but I had to source 2 new screws to put them together. I also had to drill the recess holes for the screws in the gearbox a little larger.
-IIRC I also had to shim the motor a bit so the little "neck" around the driveshaft didn't protrude into the gearbox as far.
-after the motor is mounted to the gearbox, the final step is to solder the electrical wires to the new motor. The white wire goes to the positive terminal on the motor. Mine was marked with a red dot.
This new motor has way more power than the original motor but only rotates the globe slightly faster. It doesn't stress and strain like the old motor did no matter how much litter is in the globe! The first one I put in has lasted about 2.5 years and yesterday I replaced it again. Everything else on my LR is in mint shape so I should get a decade plus out of it easy!
One last modification I highly recommend is to upgrade the 12v power adapter. The original one is pretty weak so I replaced mine with a "universal laptop adapter" available cheap on ebay. It provides up to 70 watts and is adjustable from 15 to 24 volts. I found the 15v setting to be more than adequate and it doesn't harm onboard electronics at all.
I hope this information can be of use to other LR owners who come here looking for help. Any questions, just ask! Good luck!