* Center of Mass Definition: The center of mass is the point where the entire mass of the system can be considered to be concentrated. It's essentially the balance point of the system.
* Unequal Masses: When the masses are unequal, the balance point shifts towards the heavier object. Imagine a seesaw. If you put a heavier person on one side, you need to move the fulcrum closer to that person to balance it.
* Orbiting Around the Center of Mass: Both objects in the system actually orbit around this common center of mass. The more massive object will have a smaller orbit, while the less massive object will have a larger orbit.
Example:
* The Earth orbits the Sun. The Sun is much more massive than the Earth. The center of mass of the Earth-Sun system is located *inside the Sun*, but not at its center.
* The Earth doesn't actually orbit the exact center of the Sun, but rather this slightly offset center of mass.
Key Takeaway: The center of mass in a two-body system is always closer to the more massive object, and both objects actually orbit around this point.
