Yes, the Sun – in fact, our whole solar system – orbits around the center of the Milky Way galaxy at an average speed of average velocity of the solar system is 514,495 miles an hour. At that speed, it takes about 230 million years to make one complete orbit around the galaxy. This amount of time – the time it takes us to orbit the center of the galaxy – is sometimes called a “cosmic year.”
The diameter of the Milky Way is about 100,000 light-years and the Sun is located about 28,000 light-years from the Galactic Center. Our sun is one of about 100 billion stars in the Milky Way, one of the billions of ordinary galaxies in the universe. The Milky Way is a spiral galaxy, with curving arms of stars pinwheeling out from a center. The solar system is about halfway out on one of these arms and is about 26,000 light years from the center. A light year is about 6 trillion miles.