The Sun is not actually the center of our solar system
We have been taught for centuries that the Sun sits at the heart of our planetary neighborhood. While this is a reasonable approximation, the true center of our solar system is actually a specific, invisible point in space known as the barycenter.
While it is common knowledge that the Sun is the gravitational anchor of our system, calling it the center is technically an oversimplability. The true center of mass for our solar system is the barycenter. This point is determined by the gravitational interplay between all celestial bodies, including the Sun, the eight planets, moons, and asteroids.
The mechanism behind this is rooted in Newton's third law: for every action, there is an equal and opposite reaction. Just as the Sun's gravity pulls on the Earth, the Earth pulls back on the Sun with an equal force. This mutual tug-of-war means that the Sun does not remain stationary; instead, the system orbits around a common center of mass.
The location of the barycenter depends on the mass of the bodies involved. If two planets had identical masses, they would orbit a midpoint halfway between them. As one body becomes significantly more massive, the center of rotation shifts closer to that larger mass. Because the Sun is much more massive than the Earth, the barycenter remains very close to the Sun's surface.
In fact, the Sun would require infinite mass for the center of the system to be located exactly at its own center. Because the Sun's mass is finite, and because other planets are also exerting gravitational pulls, the Sun's motion relative to the barycenter is a complex dance. In some instances, the barycenter may not even be located within the Sun's extended volume.
Source: The Sun is NOT the Center of the Solar System
