The concept of a center of the universe is somewhat misleading within the framework of the Big Bang theory. According to our current understanding, the universe does not have a specific center point from which the Big Bang originated.
Instead, the Big Bang occurred everywhere in the universe simultaneously. The expansion of space that followed the Big Bang happened uniformly in all directions, meaning that every point in the universe would perceive itself as the center of the expansion. This idea is often illustrated using the analogy of an inflating balloon, where every point on the balloon's surface moves away from every other point as the balloon expands.
Similarly, in the case of our solar system and galaxy, there is no preferred central location within the universe. Our solar system is located within the Milky Way galaxy, which is just one of billions of galaxies in the observable universe. The Milky Way itself is not positioned at the center of the universe but rather occupies a relatively remote location in the vast cosmic web of galaxies.
It's important to note that the universe is constantly expanding, and as a result, the positions of galaxies, including our own, are continually changing in relation to each other. The distribution of matter and galaxies in the universe is not uniform, forming structures like galaxy clusters and superclusters, but there is no single central point from which the expansion originated.