Dmaurian
contestada

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, AU. If planet Y is twice the mean distance from the sun as planet X, by what factor is the orbital period increased?

Respuesta :

bawbdmo

So, let planet X's orbital period be T and its mean distance from the sun be A. Also let planet Y's orbital period be T_1, so that means if planet Y's mean distance from the sun were double that of planet X:

[tex] Z^2=(2A)^3\\
Z^2=8A^3\implies\\
Z^2=8T^2 \implies\\
Z=2\sqrt{2}T [/tex]

Which means that the orbital period in planet Y is increased by a factor of [tex] 2\sqrt{2} [/tex]

geoffreycsps

Answer:

2^3/2

Step-by-step explanation:

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