Question

Given the equation P2 = A3, what is the orbital period, in years, for the planet Saturn? (Saturn is located 9.5 AU from the sun.) 5 years 29 years 229 years 500 years

Answer 1

B. 29 years

Step-by-step explanation:

Answer 2

The correct answer is 29 years.

In fact, the equation (Kepler's third law) says

`P^2 = A^2`
where P is the period in years, and A is the distance of Saturn from the Sun, expressed in A.U. We know this distance,
`A=9.5 A.U`, so we can find the period of Saturn P:

`P= √(A^3)= √((9.5 A.U.)^3)=29 years`