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 uses a floor jack. The upper end rotates 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 protactors 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 lattitude. 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. I had to be sure the scope was pointed directly
"ahead" so I pointed the scope directly up and used the protractor to
make sure it was pointed at 90 degrees and then marked the mount so I
could reproduce that alignment every time.
Here is my original mount.

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

Here is a closeup of the degree wheel.

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:
dishhead@insightbb.com