Kepler’s Law to Determine Period of Asteroid


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.
T2 = Kr3
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 R3 = 8?

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