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Asteroid Bearcat has a orbital period of 2000 years. What is its semi-major axis in AU?

Asteroid Bearcat has a orbital period of 2000 years. What is its semi-major axis in AU?
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Answer #1

This can be determined by using the Kepler's 3rd law which suggests that T2=a3

Where T= time period/orbital period and a= semi-major axis

2000= a3, (44.72)2= a3, (44.72)2= (44.72)3, 2000= 89434.562

So for 2000 years orbital period, 89434.562 AU is the semi-major axis.

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