What the consumer satellite industry uses to track satellites in the geosynchronous, Clarke Belt is called a modified polar mount. If you mount a dish on a polar mount set to exactly the latitude but with no declination angle, it will sweep out a plane parallel with the equatorial plane but not intersecting it. If you tilt the mast forward, it will intersect the equatorial plane in a straight line.
If you set a polar mount axis to exactly the elevation angle and introduce a declination angle equal to the declination angle of the southernmost satellite, the dish will sweep a cone that intersects the equatorial plane in a perfect circle that intercepts the Clarke Belt just to the due south, but it tracks "inside" of that belt, which is also a circle, over the rest of its travel.
If you set a polar mount axis to exactly the elevation angle, but then set the declination angle equal to the declination angle of the satellite lowest on the horizon, it will sweep a cone that intersects the equatorial plane in a perfect circle that intersects the Clark Belt at the lower ends of the arc only, but tracks slightly above the Clarke Belt between those horizons.
And finally if you then tilt the mast forward by a fraction of a degree, it will track an ellipse that intersects with the Clarke Belt arc at both the southern and horizon azimuths and misses the arc by less than one tenth of a degree elsewhere. That is the track of the so-called modified polar mount. Got it?
