If an asteroid were to be moving in a circular orbit around the Sun with an orbital period of 1/5 that of Jupiter,what would be the radius of its orbit?

Question

Quizplus · Accepted Answer

The orbital period of an asteroid is inversely proportional to the radius of its orbit. Jupiter's orbital period is 11.86 years, so the asteroid's orbital period would be 11.86 / 5 = 2.37 years. The radius of Jupiter's orbit is 5.2 AU, so the radius of the asteroid's orbit would be 5.2 / (2.37^(2/3)) = 1.78 AU.

If an Asteroid Were to Be Moving in a Circular