jupiter is 5.2 times farther from the sun than earth. find jupiters oribital period in earth years?

Question

i need to use a formula

Answer 1

It's about 11.7

Answer 2

Would it help if I told you that a planets orbital period is proportional to the distance from the sun raised to the 1.5 power? So in this case Jupiters orbital period would be (5.2)^1.5 earth years.

Answer 3

The formula you need is p1/p2 = (r1/r2)^1.5 where the p's are revolutionary periods and the r's are orbital radii. Turn the crank, and Jupiter's period is about 12 years;