Mathematical perfection? Please show me the math. Point to an object that could pull the Sun around the Earth while leaving the Earth motionless?
You sure are full of yourself and Earth. Glory to Heaven and God, not to Earth and Man.
Your idea is as preposterous as claiming that in the situation where someone is standing at the edge of a city as a semi-truck comes at them at 60 mph; that it makes more sense to have the person and the city moving towards the motionless semi at 60mph.
Sure either works as a mathematic model as far as a reference frame for motion. But looking at the energy dynamics of the situation we see that the engine of the semi is capable of moving the truck at 60mph, while nowhere within observation is there enough energy to move the ENTIRE CITY and the person towards the truck at 60 mph while leaving the truck motionless. Ludicrous stupidity masquerading as Biblical adherence.
Its not just the earth and the sun; its the whole universe.
Changing the center does not change any of the dynamics. (I know, its just a bit too much for your little mind)