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?
The form of Kepler's third law that relates the period T and radius R of a planet in our solar system when the unit year is used for the period and astronomical unit (AU) is used for the radius is:
T² = R³
This form of Kepler's third law states that the square of the period (in years) is directly proportional to the cube of the semi-major axis (in AU) of the planet's orbit.