Let's analyse the implications of what an geocentric SS means.

It's not difficult to find the distance to any planet using a method called parralax.

So we measure the distance to Neptune, could be any other planet but it's my favorite. Now we know the distance we can use geometry to figure out its speed. Since it is suppose to orbit earth once per 24hours, lets make an equation, making no assumptions at all.

If an object moves in a circular path, we can understand that the distance it travels, divided by the time it takes equals the speed(change in position)/(change in time). Since we know the radius of the sircoolar path, which is the distance from centre to path. We can determine the orbital distance, which is the circumference=2pi*r

so, we get Speed=(2Pi*r)/(time)

I have personally measured Neptune to be approximately 4.7 billion km away from earth, I work as an astronomer, you see.

now the input: Speed=(2*pi*4.7 10^12m)/(24h*60m/h*60s/m) and we get?

Speed=341 793 645 m/s

Clearly this is impossible. Unless neptunians have Alcubierre drive, which I find highly implausible.

To make a model, based on science, which contradicts the most fundamental laws of physics? Let me ask you, is truly egocentric by definition to believe everything revolves around me!