In our solar system, the Sun sits unmoved at the center rather than having an orbit around any celestial body. The Sun is considered the gravitational anchor around which all other objects, including planets, moons, asteroids, and comets, revolve. This concept is known as the heliocentric model of the solar system.
The planets, including Earth, follow elliptical orbits around the Sun. These orbits are a consequence of the gravitational attraction between the Sun and the planets. According to Kepler's laws of planetary motion, each planet's orbit is an ellipse with the Sun at one of the two foci of the ellipse.
The Sun's immense mass creates a gravitational force that keeps the planets in their respective orbits. The combined gravitational forces from the Sun and other celestial bodies in the solar system shape the motions of all objects within it.
It is important to note that while the Sun appears stationary from our perspective on Earth, it does have its own motion within the Milky Way galaxy. The Sun, along with the entire solar system, is orbiting around the center of the Milky Way at an average speed of about 230 kilometers per second. This motion takes the Sun and the solar system approximately 225-250 million years to complete one revolution around the galactic center. However, this orbital motion is different from the daily motion of the Sun and planets within our solar system.