With help from online sources, I suspected that a worm gear had failed. Again, with help from online sources, I disassembled the mixer and found that the worm gear was bad. All the other gears appeared to be in good shape. I ordered a new worm gear from AppliancePartsPros.com along with a replacement knob. Both arrived much earlier than expected. I reverse-ordered the disassembly process to put the mixer back in working order. The planetary gear now spun, though I had an apparent issue with the speed which was too fast in the stir speed, and the speed selector didn't seem to have much effect on the speed after it was placed on the stir setting. With some online searching, I was able to fine-tune the speed control and the mixer now works like it did when it was new.