# Calculations

Let’s use an example. Jupiter takes 11.8 years to orbit the Sun. It is 5.2 AU from the Sun.

T = 11.8 x 11.8 = 140

R = 5.2 x 5.2 x 5.2 = 140

### EXERCISE

Saturn orbits the Sun in 29.45 years. What is its orbital radius?

Highlight below.

Cube root of 867 = 9.53. r = 9.53 AU

From Image Question

A) 3

^{2}= 9

9 cube root = 2.08

B) Square Root of 10 = 3.16

Distance = 3.16

^{3}=31.5

### Other Sources

Incidentally other astronomers, textbooks and websites uses "P" for Period rather than "T" for Time. Don't worry if you see this being used elsewhere.

### How do I see the answers?

### Image Question

Study the image below.
a) Planet A is 3 AU from the Sun. Using Kepler's Third Law find out the time it takes to orbit the Sun.
b) Planet B takes 10 years to orbit the Sun, Find out the distance from the Sun.

Answers Opposite