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Why is Kepler’s 3rd law called the harmonic law?

KOMPAS.com Kepler’s 3rd law was proposed by a German astronomer named Johannes Kepler. Kepler’s 3rd law is often referred to as harmonic law. Why is Kepler’s 3rd law called the harmonic law?

Kepler’s 3rd law is called the harmonic law because it describes how the planets harmonize in solar system.

Kepler’s 1st law describes the shape of orbit planet. The 2nd law of Kepler describes the time of the planet’s orbit. That is, Kepler’s 1st and 2nd laws describe the characteristics of a planet.

Meanwhile, Kepler’s 3rd Law does not only explain the characteristics of one planet. Rather it compares the characteristics of the different planets and how the planets in the solar system move and harmonize as they revolve around the sun.

Also read: Kepler’s Laws of Motion in the Solar System

Kepler’s 3rd Law

Kepler’s 3rd law reads:

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

It is known that the semi-major axis is equal to its average distance from the Sun. Reported from Spacewhat Kepler’s 3rd law actually does is compare the orbital period and radius of one planet’s orbit with that of another planet.

So, Kepler’s 3rd law equation can be written as:

Also read: Why don’t planets collide with each other?

With,
T1: periode planet 1
T2: periode planet 2
r1: planet 1’s average distance from the sun
r2: average distance of planet 2 from the sun

This equation applies to every planet orbiting the sun. According to this equation, the planets with the farthest distance to the sun have long orbital periods and vice versa.


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