* Kepler's Third Law: This law states that the square of a planet's orbital period (the time it takes to complete one revolution around the sun) is proportional to the cube of its average distance from the sun.
* Mathematical Relationship: This relationship can be expressed as: T² ∝ R³
* T = Orbital Period
* R = Average distance from the sun
* Explanation: This means that the farther a planet is from the sun, the larger its orbital radius (R). To maintain the proportionality, the square of its orbital period (T²) must also be larger. This results in a longer period of revolution for the planet.
Think of it like this:
Imagine a planet close to the sun like Mercury. It has a small orbital radius and needs to move faster to stay in orbit. A planet further out, like Neptune, has a much larger orbital radius. To stay in orbit, it moves slower. This slower speed leads to a longer period of revolution.
In summary:
* Gravity: The sun's gravitational pull weakens with distance. A planet further away experiences less gravitational force, requiring it to move slower to stay in orbit.
* Orbital Path: The larger the orbital radius, the longer the distance a planet has to travel to complete one revolution.
Therefore, a planet farther from the sun will always take longer to orbit the sun compared to a planet closer to the sun.