Is your cognition really that limited? You cannot understand that all motion can be accurately described in an infinite number of different coordinate systems? You don't realize that the origin can be arbitrarily placed anywhere, without changing anything?
What is moving the Sun around the Earth while leaving the Earth motionless? Please show me the math where any object outside our solar system exhibits enough force to influence the earths movement around the sun.
Here is a little help. It is the equation for gravity.
Gravitational Force (Newtons) = (G *m1 * m2)/d^2 where G is the gravitational constant, m1 is mass one, m2 is mass two, and d is distance.
Now please show me where enough force is generated by any planetary or celestial body upon the earth to counteract the observed and calculated force that the Sun exerts upon the Earth. Should be easy enough, after all you claim to have Einstein on your side!