If earth increase the distance from the sun, what will happen to the period of orbi t(the time it takes to complete one revolution around the Sun)?​

Answer :

skyluke89

The period of the orbit would increase as well

Explanation:

We can answer this question by applying Kepler's third law, which states that:

"The square of the orbital period of a planet around the Sun is proportional to the cube of the semi-major axis of its orbit"

Mathematically,

[tex]\frac{T^2}{a^3}=const.[/tex]

Where

T is the orbital period

a is the semi-major axis of the orbit

In this problem, the question asks what happens if the distance of the Earth from the Sun increases. Increasing this distance means increasing the semi-major axis of the orbit, [tex]a[/tex]: but as we saw from the previous equation, the orbital period of the Earth is proportional to [tex]a[/tex], therefore as [tex]a[/tex] increases, T increases as well.

Therefore, the period of the orbit would increase.

Learn more about Kepler's third law:

brainly.com/question/11168300

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