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.

T2 = 29.45 x 29.45 = 867
Cube root of 867 = 9.53. r = 9.53 AU

From Image Question
A) 32 = 9
9 cube root = 2.08

B) Square Root of 10 = 3.16
Distance = 3.163=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