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

T3=r2
cap t cubed is equal to r squared

T2=r3
cap t squared is equal to r cubed

T=r2
cap t is equal to r squared

T2=r
cap t squared is equal to r

Answer 1

The correct form of Kepler’s third law that relates the period \( T \) (in years) and the radius \( r \) (in astronomical units) is:

\[ T^2 = r^3 \]

So the appropriate response is:

T² = r³ (cap T squared is equal to r cubed).