Einstein didn't chose the Ptolemaic system OTHER THAN to show that according to relativity the coordinate systems are equivalent; i.e. AS A COORDINATE SYSTEM one is not any “better” than the other.
But coordinate systems do not explain what is causing the motion.
The motion is caused by the gravitation of the Sun upon the Earth causing the Earth to move.
Basic physics. Forces are equal. Force = mass * acceleration. Thus the force has a disproportionate and observable effect upon the acceleration of the Earth causing it to orbit the Sun.
Do you consider yourself a Geocentrist?
Do you think the Earth goes around the Sun?
Why do you twist and squirm away from the questions when it is SO OBVIOUS (other than to the obligingly obtuse) that you are arguing geocentrism with every post?
Flawed Research.
So now you are ready to explain the cause of the motion?
Got my popcorn, fire away! (dumb $h!t)
There's more to it than that. If it were simply the gravitational attraction of the Sun on the Earth, the Earth would just be drawn into the Sun and fried.
The gravitational effects of the Sun on the Earth alone would not cause the Earth to move around the Sun.