Very good observation MacDorcha! Very simple and elegant I might add. Good job.
But wrong.
Stellar parallax, for example, shows that the Earth actually *is* moving around the Sun and not vice versa. It's not just a "simpler explanation", it's the one that matches the observations and matches all that is known about the physical behavior of matter (including gravity), and does not require invoking "explanations" that are not merely "less simple", but are downright ridiculous and contradicted by other observations.