Kepler's third law states that:
A) period of a planet in years is the same number as its semimajor axis in au.
B) square of a planet's period in years is the same number as the cube of its semimajor axis in au.
C) square of a planet's period in years is the same number as the fourth power of its semimajor axis in au.
D) cube of a planet's period in years is the same number as the square of its semimajor axis in au.

Question

Quizplus · Accepted Answer

Kepler's third law, also known as the Law of Harmonies, states that the square of the orbital period of a planet is directly proportional to the cube of the semi-major axis of its orbit. This is mathematically represented as $T^2 \propto a^3$, where $T$ is the period in years and $a$ is the semi-major axis in astronomical units (au).

Kepler's Third Law States That