Which form of Kepler’s third law can you use to relate the period T and radius r of a planet in our solar system as long as the unit year is used for the period and astronomical unit is used for the radius?(1 point)

Question

Responses

T2=r3
cap t squared is equal to r cubed

T2=r
cap t squared is equal to r

T3=r2
cap t cubed is equal to r squared

T=r2

Answer 1

The correct form of Kepler’s third law that you can use to relate the period \( T \) (in years) and the radius \( r \) (in astronomical units) of a planet in our solar system is:

\[ T^2 = r^3 \]

This means the square of the orbital period (in years) is equal to the cube of the semi-major axis of the orbit (in astronomical units).