Question

The orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula P = a Superscript three-halves. If Saturn’s orbital period is 29.5 years, what is its distance from the sun?
9.5 AU
19.7 AU
44.3 AU
160.2 AU

Answer 1

P = a^{3/2} so a = P^{2/3} = 29.5^{2/3} ≈ 9.55 AU, so 9.5 AU.