[Kevin Sevcik]

We did something along these lines to help out a rookie team with a too slow globe for steering last year. Our solution was to clean and degrease the second stage, then take it over to the machine shop to have them weld the planets in place. After that was a trip to the grinder to remove all the teeth that would have engaged with the ring gear, and you're done. It's somewhere between straight epoxy and lathing down the ring gear in complexity and strength. I did work remarkably well, however. And was quicker than having the ring gear lathed, as the welder wasn't nearly as busy as the machinist.

For epoxying, you might consider a similar solution of leaving the planets in place and grinding off the outer teeth. You could actually slather it with epoxy, reassemble to let the epoxy cure with everything tightly aligned and engaged, and then pull it apart to do the grinding. If the sun and planets are reasonably engaged, it should spread the load much better and result in a much higher strength.

Granted, method B requires a Dremel, and method A requires a Dremel and welder.... But most teams should have a Dremel hanging around somewhere. After all, Dremels are the Leathermans of the power tool world. They do just about everything as long as you're willing to pay for the options and put up with somewhat reduced quality.