AIR MATH

Math Question

The equation \( T^{2}=A^{3} \) shows the relationship between a planet's orbital period, \( T \), and the planet's mean distance from the sun, \( A \), in astronomical units, \( A U \). If planet \( Y \) is twice the mean distance from the sun as planet \( X \), by what factor is the orbital period increased? \( 2^{\frac{1}{3}} \) \( 2^{\frac{1}{2}} \) \( 2^{\frac{2}{3}} \) \( 2^{\frac{3}{2}} \)

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