Which is the simplified version of Kepler’s third law when one of the planets being compared is Earth?(1 point)

Responses

A) T^2 = r

B) T = r^2

C) T^3 = r^2

D) T^2 = r^3

1 answer

The simplified version of Kepler’s third law when one of the planets being compared is Earth is:

D) T² = r³

In this form, \( T \) is the orbital period of a planet in Earth years, and \( r \) is the semi-major axis of the planet's orbit in astronomical units (AU), which is the average distance from the Earth to the Sun.