This was an experimental mount that I built to test a theory. It DOES work as I planned, and I'm putting it up here so that others may be inspired to try their own version. To be honest I don't know if the idea is original to me or if I got the idea from elsewhere.

Next I got a program that gives a satellite's closest approach. The I set my mount so the "polar" axis was set at a spot in the sky that was 90 degrees from that spot. Then the scope would be pointed at the location of the closest approach. The mount then allows the scope to follow the satellite as it travels across the sky.

The mount used a floor jack. The upper end rotated in the lower end. I installed a degree wheel that gave me the azimuth The degree wheel is attached to the lower part, a pointer to the upper portion. I made a degree wheel by gluing two protractors to a piece of plywood and renumbering the degrees on one side so it would read from 0 to 360.

 Then it was simply a matter of pointing the scope at the north star, set the degree wheel to indicate 0 or 360 degrees azimuth and used a protractor to set the altitude at 40 degrees - my latitude. Of course, to be precise these two adjustments must be done 6 hours apart - the azimuth when Polaris is north or south of  the north pole, that altitude when Polaris is directly east or west of the north pole. I later discovered an easier way to set things up - point the scope at a planet and use it's azimuth and altitude to adjust the degree wheel and check the altitude.

Here is my original mount.

Here is my second setup. I set the protractor on top of the scope to set altitude.

Here is a close-up of the degree wheel.

It worked okay at the low powers I was using, but it was a pretty sloppy setup. The pole wasn't perfectly vertical, there was slop between the inner and outer posts, the mirror wasn't perfectly collimated to the tube and the degree wheel was a butchered up hack job. Other than that it was just fine. <g>

Since I wrote the above I discovered that the idea wasn't new to me. There was something called the Baker-Nunn camera that used the same concept to track Earth orbiting satellite. Here and here are links to pages that explain them:

Update

I decided to try this mount with my fork mounted Celestron CPC1100. My telescope mount is made from the core of a mount that once held a 10 ft satellite dish. The mount spins on the pole and the altitude can be changed easily. I found a web page that generates degree wheels of any size. I chose one 8" in diameter, because it would fit on a normal sheet of paper. I mounted it on a piece of 3/4" plywood and covered it with Plexiglas. I attached this securely to the pole and mounted a pointer on the mount which I can turn to "point it" at any azimuth I choose. I'm using a protractor with a level on it to accurately adjust the altitude.

This mount has several advantages to my earlier attempts: the pole is perfectly vertical, the mount fits much more tightly on the pole, the degree wheel is much more accurate than my other ones, and by using the fork mount I can make adjustments as the satellite passes overhead. Before I could only try to turn the mount on the pole to make adjustments. I loosen the clutch on the base to manually track the satellite across the sky. I leave the altitude clutch tight and can make adjustment with my handset.

When I want to use the mount for normal astronomical use, I can just set the azimuth to zero degrees and the altitude to 40 degrees and it should be close enough for visual use.