The square of the orbital period of a planet around the sun is proportional to the cube of the planet's orbital radius. This follows the _____.



A. Law of ellipses B. Law of harmonies C. Law of Kepler

Respuesta :

AL2006

That statement is Kepler's 3rd law of planetary motion.  

It's also often referred to as the "Law of Harmonies".

Answer: The correct answer is option C.

Explanation:

Relationship between orbital period of planet and orbital radius of a planet is given by Kepler's law.

Kepler's third law also known as Law of the periods which states that the square of the orbital period of the planet is directly proportional to the cube of the semi-major axis of its orbit.

Mathematically,

[tex]T^2=\frac{4\pi}{GM}a^3[/tex]

[tex]T^2\propto a^3[/tex]

where,

T = orbital period of the planet

a = orbital radius or semi major axis of the orbit of the planet.

Hence, the answer is Option C.