16. 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? ( = means proportional to in this case)
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1 point
T^2=r
T=r^2
T^2=r^3
T^3=r^2
The correct form of Kepler's third law that can be used to relate the period T and radius r of a planet in our solar system, using the unit year for the period and astronomical unit for the radius, is:
T^2 = r^3
The correct form of Kepler's third law that can be used to relate the period T and radius r of a planet in our solar system is T^2 = r^3.
To relate the period T and radius r of a planet in our solar system, we can use Kepler's third law in the following form: T^2 = r^3.
Kepler's third law states that the square of the orbital period of a planet is directly proportional to the cube of its average distance from the sun. In other words, the ratio of the period squared (T^2) to the radius cubed (r^3) is a constant value.
If we want to relate the period T in years and the radius r in astronomical units (AU), we can use this form of the equation.
So, the correct answer is T^2 = r^3.