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Thread: Planetary Motion

  1. #1
    Senior Member harpazo's Avatar
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    Planetary Motion

    Kepler's Third Law of Planetary Motion states that the square of the period of revolution T of a planet varies directly with the cube of its mean distance a from the Sun. If the mean distance of Earth from the Sun is 93 million miles, what is the mean distance of the planet Mercury from the Sun, given that Mercury has a "year" of 88 days.

    Is the correct formula T^2 = (a^3)k?
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  2. #2
    MHF Contributor MarkFL's Avatar
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    Re: Planetary Motion

    Yes, and you can find the value of k from the orbit of the Earth, and then find a as it applies to Mercury.
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  3. #3
    Senior Member harpazo's Avatar
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    Re: Planetary Motion

    Quote Originally Posted by MarkFL View Post
    Yes, and you can find the value of k from the orbit of the Earth, and then find a as it applies to Mercury.
    Cool. Another correct answer.
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