Do planets actually revolve around the SUN?
The correct answer is that the Earth and the Sun revolve around each other at the center of the mass of the whole system. However, because the Sun is so massive, the center of the mass of the whole system is actually inside the Sun which allow our math to approximate the center of the Sun as the center of mass. What the animation shows is what people before Galileo and Johannes Kepler thought was the way the Universe worked. It is a very complicated system that none the less explained the observed motion of the Planets. However, more careful measurements and direct observation that not everything orbits the Earth, ie moons around the other planets, pretty much debunked the Geocentric theory hundreds of years ago. If you want more proof, know that every one of our space mission is based on the fact that the Earth, along with the rest of the planets, orbit the Sun. The Sun itself does orbits the center of the Milky Way galaxy which orbits the center of mass of the Local Group of galaxies