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]
- print Print
- list Cite
Expert Answers
calendarEducator since 2010
write12,544 answers
starTop subjects are Math, Science, and Business
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.
Unlock This Answer Now
Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.