I think it would be too slow Bill unless we motorised it but getting power to the dome at any position in its 360 degree rotation would be difficult.
I have been considering the same problem for my dome.
Front-runner idea at the moment is a UPS (i.e. a controllable and rechargeable battery) attached to the inside of the dome. Attached to it, also on the inside is a Raspberry Pi which switches power from the UPS to the dome motors – slit and dome azimuth – as required, the Pi being controlled from the main TCS over WiFi. Attached to the UPS on the outside of the dome is a solar panel which keeps the UPS fully charged.
In my case the dome azimuth is already motorized and controllable by the TCS so I need only the slit control but you may need both degrees of freedom to be upgraded.
Perhaps the same idea may work for you.
Paul