I had a bash at getting the dome motor mounted this week. I got some metal plate and cut some holes and slots in it to suit. Got the motor to fit it reasonably well so added a spring for tension. Then I cut a chunk out of the lower ring to recess the motor assembly and bolted the plate to the bottom ring.
Looks almost like a bought one

If I can get the toothed belt stuck to the track, we'll have a motor driven dome
[edit]
Raining today but not in the dome so I got the belt stuck to the track. The dome is now non slip and motor driven

Encoders and electronics are next to get it under software control.