Question

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?
A. T3=r2

B. T2=r3

C.T2=r

D.T=r2
B. IS THE CORRECT ANSWER!

Answer 1

T2=r In the form of Kepler's law that can use to relate the period T and radius of the planet in our solar systems

Explanation:

Kepler's third law:

• Kepler's third law states that For all planets, the square of the orbital

     period (T) of a planet is proportional to the cube of the average orbital    radius (R).

• In simple words T (square) is proportional to the R(cube) T²2 ∝1 R³3

• T2 / R3 = constant = 4π ² /GM

      where G = 6.67 x 10-11 N-m2 /kg2

        M = mass of the foci body