What is the period of moon B?Moon A is 1 J.D. from Jupiter and goes around in 1 day. Moon B is 5.1 J.D. from Jupiter. What is the period of Moon B? [0.00 decimal places]

Expert Answers

An illustration of the letter 'A' in a speech bubbles

Kepler's third law of planetary motion gives us the relation between the orbital period and the distance that the body is revolving at as the square of the orbital period of the body being directly proportional to the cube of the distance from the body around which it is revolving. Or t^2 = k* r^3

Here, for Moon A, which is at a distance 1 J.D. from Jupiter, the period of completing 1 orbit is 1 day. So we have 1^2 = k * 1^3

=> k = 1

Now for Moon B, we have the distance of the orbit as 5.1 J.D.

=> t^2 = k* (5.1) ^3

=> t^2 = (5.1) ^3

=> t = (5.1) ^ (3/2)

=> t = 11.51

Therefore the period of the Moon B is 11.51 days.

Approved by eNotes Editorial Team
Soaring plane image

We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

  • 30,000+ book summaries
  • 20% study tools discount
  • Ad-free content
  • PDF downloads
  • 300,000+ answers
  • 5-star customer support
Start your 48-Hour Free Trial