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16 February, 00:21

Jupiter is 5.2 times farther from the sun than earth is. find jupiter's orbital period in earth years. (use g = 6.67 10-11 n·m2/kg2.) yr

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  1. 16 February, 01:09
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    Using Keplers Law, T is proportional to r^ (3/2)

    T^2 is proportional to r^3

    [Tj / Te]^2 = [rj / re]^3

    => Tj^2 = [rj / re]^3 x Te^2

    => Tj^2 = [5.2 / 1.0]^3 x (1.0) ^2

    => Tj^2 = 140.6 = > Tj = squareroot of 140.608

    => Tj = 11.85 year, which is approximately 12 years

    So the Jupiters orbital period in Earth years is 12 years.
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