You don't have the correct understanding of the Geostatic System. Robert Sungenis explains it:

"As the universe rotates around its center of mass (where Earth is placed) it also oscillates up 47 degrees and down 47 degrees every six months (which is 23.5 degrees each season). As such, it moves in a spiral motion, and it carries the sun and stars with it in this spiral. They all move together. The reason the universe spirals is the same reason a gyroscope will precess – it is either weighted to one side or there was an initial inertial force to start the spiral. The only difference between the typical gyroscope and the universe is that the former is anchored. Once the universe reaches the limit of sustaining its angular momentum (June 21) it will begin to spiral downwards until it reaches the limit of sustaining its angular momentum (December 21) and will begin to spiral upwards.

...Since space is rotating around a fixed Earth, that rotating space will carry with it whoever is taking pictures of the Earth. As such, the Earth will appear to be rotating in the camera, but in reality the camera is rotating around the Earth.

...The stars are moving with the whole universe and so is the ether, and all of them are pivoting on a 1AU radius (the distance between the Earth and the Sun). The sun is not the center of rotation of the stars. Rather, the stars are aligned with the sun, not the Earth, and both the stars and sun revolve around the Earth. That is why we see the same stars in the same constellations night after night, since their proper motion is negligible compared to their motion with the whole universe. The sun lags behind the stars about 1 degree per day, which is why it travels through the Zodiac in one year."

[link to www.robertsungenis.com]