The orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula P = a Superscr

Question

The orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula P = a Superscript three-halves. If Saturn’s orbital period is 29.5 years, what is its distance from the sun?

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Kim Chi 4 years 2021-08-09T01:38:34+00:00 1 Answers 38 views 0

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  1. thugiang
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    2021-08-09T01:39:50+00:00
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    Answer:

    9.54731702 astronomical units

    Step-by-step explanation:

    P=a^{\frac{3}{2} }

    Substitute this value in the equation above:

    29.5=a^{\frac{3}{2} }

    ⇒ (29.5)^{\frac{3}{2} } =a

    ⇒ a=9.54731702 astronomical units

    Hence, its distance from the sun is 9.54731702 astronomical units.

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