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!
Yeah, that would be the work done by Thirring as referred to in the following excerpt from Max Born that I had previously posted.
"...Thus we may return to Ptolemy's point of view of a 'motionless earth'...One has to show that the transformed metric can be regarded as produced according to Einstein's field equations, by distant rotating masses. This has been done by Thirring. He calculated a field due to a rotating, hollow, thick-walled sphere and proved that inside the cavity it behaved as though there were centrifugal and other inertial forces usually attributed to absolute space. Thus from Einstein's point of view, Ptolemy and Corpenicus are equally right."
Born, Max. "Einstein's Theory of Relativity",Dover Publications,1962, pgs 344 & 345:
George Ellis confirms that geocentrism can only be excluded on philosophical grounds.
"People need to be aware that there is a range of models that could explain the observations,” Ellis argues. “For instance, I can construct you a spherically symmetrical universe with Earth at its center, and you cannot disprove it based on observations.” Ellis has published a paper on this. “You can only exclude it on philosophical grounds. In my view there is absolutely nothing wrong in that. What I want to bring into the open is the fact that we are using philosophical criteria in choosing our models. A lot of cosmology tries to hide that.”
Ellis, George, in Scientific American, "Thinking Globally, Acting Universally", October 1995
That is what you do.