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Homework Help: Kepler's Law to Determine Period of Asteroid

  1. Mar 25, 2014 #1
    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.
    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?
  2. jcsd
  3. Mar 25, 2014 #2


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    Science Advisor
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    Gold Member

    Think about the relationship between this asteroid's orbit and the Earth's orbit.
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