# Kepler’s Law to Determine Period of Asteroid

**1. The problem statement, all variables and given/known data**

A newly discovered asteroid orbits at twice the Earth-Sun distance. Find its period of orbit (in years).

**2. Relevant equations**

I know that I’m supposed to use Kepler’s third law to determine this.

T^{2} = Kr^{3}

K = 4∏^{2}/GM

and the Earth-Sun distance is of course 1 Au

**3. The attempt at a solution**

I know that the answer should be √8 or about 2.83 years I just don’t know how to get there. So frustrating because I know that this is a simple question.

Could it be that K = 1, and R=2 therefore R^{3} = 8?

http://ift.tt/1jDLndX

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