"Davoud" wrote in message
...

I'm not very good at spherical geometry, so please bear with me here. I
don't want to go to the expense of controlling the dome's rotation by
computer, but I would like to auto-rotate it. Would it work to simply
install a motorized rotator that would rotate the dome at 15° per hour?

Only if you are at the North or South Pole

At temperate latitudes, consider what's going on.

If you're aimed at Polaris, you don't want the dome to rotate at all.
Polaris stays put.

There will be an area of sky, high in the south, where rotating 15 degrees
per hour would be almost correct, but it's not all that much of the sky.

In the east and west, objects are moving mostly up or down, not sideways.