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24 February, 20:35

If planet A is three times as far from planet C, then the period of its orbit will be __ times as long

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  1. 24 February, 22:38
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    I may be wrong, but I think you're trying to say that Planet-A is

    3 times as far from the sun as Planet-C is.

    If that's the real question, then the answer is that the period of Orbit-A

    is about 5.2 times as long as the period of Orbit-C.

    Orbital period ≈ (proportional to) (the orbital distance) ^ 3/2 power.

    This was empirically demonstrated about 350 years ago by Johannes

    and his brilliant Kepple, and derived about 100 years later by Newton

    from his formula for the forces of gravity.
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