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If they have cracked gears the solution is to replace them. Since the teeth are slightly farther apart at the crack the gear doesn't mesh properly. I don't know if the gears are available, but I'd start there.
It seems like once per revolution, they bind, but in the same spot each time.
If you mean once per revolution of the wheels, then its probably the axle gears. Assuming the other gears are different sizes to give a reduction in speed. There might also be something in the gear. I had a bit of ballast in between the teeth once that caused a bind.
If the locomotive was made by Samhongsa it is a cracked gear for sure. The nylon gears would shrink over time and were notorious for cracking. Back in the day Samhongsa furnished replacement gears made of brass. That's the only fix. If you can't find factory replacements maybe Northwest Shortline has a solution.
If all else fails, you could try 3D printing new gears. They might not be as durable, depending on the material used, but you could print enough to be able to replace them for years to come.
Here's the place I've pointed to for gears a few times. I bet they have what you need:https://shop.kkpmo.com/index.phpIf you take measurements (diameter, number of teeth, bore, and thickness), you can calculate the module and thenpick out the gear you need from the above place. They make them in acetal and brass.
You should be able to measure the axle. If you're using calipers and it comes up with a sensible number you should be good.