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28 July, 01:15

Saturn has an orbital period of 29.46 years. In two or more complete sentences, explain how to calculate the average distance from Saturn to the sun and then calculate it.

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  1. 28 July, 01:17
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    For astronomical objects, the time period can be calculated using:

    T² = (4π²a³) / GM

    where T is time in Earth years, a is distance in Astronomical units, M is solar mass (1 for the sun)

    Thus,

    T² = a³

    a = ∛ (29.46²)

    a = 0.67 AU

    1 AU = 1.496 * 10⁸ Km

    0.67 * 1.496 * 10⁸ Km

    = 1.43 * 10⁹ Km
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