Question

Jupiter is 5.2 times farther from the sun than earth is. find jupiter's orbital period in earth years. (use g = 6.67 10-11 n·m2/kg2.) yr

Answer 1

Using Keplers Law, T is proportional to r^ (3/2) 
T^2 is proportional to r^3
 [Tj / Te]^2 = [rj / re]^3
 => Tj^2 = [rj / re]^3 x Te^2
 => Tj^2 = [5.2 / 1.0]^3 x (1.0)^2
 => Tj^2 = 140.6 => Tj = squareroot of 140.608
 => Tj = 11.85 year, which is approximately 12 years
 So the Jupiters orbital period in Earth years is 12 years.