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21 July, 15:12

17. An asteroid orbits the sun at a distance of 2.7 AU. What is its orbital period?

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  1. 21 July, 18:39
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    T = 4.44 years.

    Explanation:

    The third law, also known as harmonic or period, relates the periods of the planets, that is, what it takes to complete a round around the Sun, with its middle radii.

    For a given planet, the square of its orbital period is proportional to the cube of its average distance from the Sun. That is,

    T^2=k⋅r^3

    Where:

    T: Period of the planet. Its unit of measure in the International System is the second (s)

    k: Proportionality constant. Its unit of measure in the International System is the second squared cubic meter match (s2 / m3)

    r: Average distance to the Sun. Due to the properties of the ellipse, it is satisfied that its value coincides with that of the semi-major axis of the ellipse, a. Its unit of measure in the International System is the meter (m)
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