A new planet-like object is found in the solar system. We determine that it is located 47.3 AU from the Sun, on average. What is the time it will take to complete its orbit?
We can use Kepler: a^3 = P^2, where a is the average distance in AU (known) and P is the orbital period in years:
P^2 = 47.3^3
P = sqrt(47.3^3)
= 325.3 years
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