Our solar system is not stationary but in motion. It is located within the Milky Way galaxy and, like other stars and celestial objects, it undergoes various types of motion.
Rotation: The solar system rotates around its center of mass, which is close to the position of the Sun. This rotation takes approximately 225-250 million years to complete one orbit, known as a cosmic year or galactic year.
Orbit: In addition to rotation, the solar system also orbits around the center of the Milky Way galaxy. The Sun, along with its retinue of planets, asteroids, and other objects, orbits the galactic center in a path shaped like a spiral. It takes roughly 230 million years to complete one revolution around the galactic center.
This motion of the solar system within the Milky Way is a result of the combined gravitational forces from the galaxy's mass distribution. The exact duration of a galactic orbit is uncertain and can vary depending on different estimates and models.
It's important to note that while the solar system is in motion, the distances and scales involved are immense, making the motion relatively slow and imperceptible on human timescales. From our perspective on Earth, the changes in our solar system's position within the Milky Way occur gradually over thousands and millions of years.