Kepler's Harmonic Law of Planetary Motion

Is Kepler's harmonic law of planetary motion accurate?

Do the data below support Kepler's 3rd law?

Answer:

By plotting the data on a logarithmic scale, a linear trend with a slope of 1.5 emerges. This supports the notion that the square of the orbital period is proportional to the cube of the distance, as stated by Kepler's third law.

To test Kepler's 3rd law using the data provided, plot it on a logarithmic scale considering the period as y and distance as x. It should show a linear trend with a slope of 1.5, which indicates that the square of the period is proportional to the cube of the distance. For instance, if we take Earth's period of 365.2 days and distance as 1 AU (Astronomical Unit), we see results fit Kepler's 3rd law.

This law, also known as his 3rd law, states that the square of the orbital period is directly proportional to the cube of the characteristic distance of the planet from the sun. This relationship helps in understanding the motion of planets within our solar system.