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A planet orbits a Sun-like star at an orbital distance of 40 AU. What is its...

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Medical Sciences

A planet orbits a Sun-like star at an orbital distance of 40 AU.What is its orbital period?

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4.1 Ratings (789 Votes)

This problem can be solved by Kepler's law. According to his third law, P^2=a^3 or a^3= p^2

P = period in yrs,

a = the avg distance between the star and the planet in AU.

Since it's given that distance, a = 40 AU,

a^3 = 64000= P^2

or P = square root of 64000= 253 years.
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