Since the stars are moving across the sky, how does the telescope stay focused on an object?
The telescope needs to be moved gradually in order to keep the current object in the field of view because due to the earth’s rotation, objects in the sky appear to move across our field of view. Just like the sun, stars enter our field of view from the east and exit to the west. Computer controls keep the telescope tracking at precisely the right rate to keep the star in the field of view.