Question

If a planet's average distance from the sun is 10 AU, what is its orbital period?

Answer 1

|| ▼ Answer ▼ ||

The orbital period is 31.62 years when the average distance from the sun is 10AU

|| ✪ Step-by-step explanation✪ ||

Given:

The average distance of the planet from the sun is r = 10 AU

To find the orbital period.

According to Kepler's third law,

`T^(2)` ∞
`r^(3)`

`T^(2) =kr^(3)`

`T=(3)/(2)`

Here, the constant k is taken to be 1.

Substituting the values, the orbital speed will be

`T=(10)(3)/(2)`

`=31.62~years`

Final Answer: The orbital period is 31.62 years when the average distance from the sun is 10AU

Hope this helps!

If you have any queries please ask.

Answer 2

The period will be 11.18 years

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