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  • Kepler's Third Law: Planet Distance & Orbital Period Explained
    The relationship between the distance of planets from the Sun and the time it takes them to revolve around it is governed by Kepler's Third Law of Planetary Motion.

    Here's the gist:

    * The farther a planet is from the Sun, the longer its orbital period (the time it takes to complete one revolution).

    More specifically, the law states:

    The square of the orbital period of a planet is proportional to the cube of the semi-major axis of its orbit.

    * Semi-major axis: This is basically the average distance of a planet from the Sun.

    * Orbital period: This is the time it takes for a planet to complete one orbit around the Sun.

    Mathematical expression:

    T² ∝ a³

    Where:

    * T = orbital period

    * a = semi-major axis

    Example:

    * Mars is farther from the Sun than Earth.

    * Mars takes longer to orbit the Sun (687 Earth days) than Earth (365 days).

    Why this relationship exists:

    This relationship arises because of the balance between the Sun's gravitational pull and a planet's inertia (tendency to move in a straight line). Planets farther from the Sun experience a weaker gravitational pull, which means they need to travel slower to maintain their orbit.

    Let me know if you'd like a more detailed explanation or examples!

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