Question

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Answer 1

Answer:

11.85 earth years ≈ 12 earth years

Explanation:

From Kepler's third law of Planetary Motion,

We know,

$\frac{T1^{2} }{T2^{2} } = \frac{d1^{3} }{d2^{3} }$

Let the distance between the earth and the sun be x (d2)

so, the distance between the sun and the Jupiter is 5.2x (d1)

Let the orbital period of earth be T2

Let the orbital period of Jupiter be T1

So, substituting them in the equation

(5.2x)³/x³ = T1²/T2²

(5.2³) = (T1/T2)²

√140.608 = T1/T2

11.85T2 = T1

So, the orbital period of Jupiter is 11.85 times the orbital period of Earth

orbital period of earth = 1 year

orbital period of Jupiter is 11.85 earth years or close to 12 years

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