An object is located in the solar system at a distance from the Sun equal to 41 AU's . What is the objects orbital period?

Astronomy
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Chapter21: The Birth Of Stars And The Discovery Of Planets Outside The Solar System
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Problem 24E: Kepler’s third law says that the orbital period (in years) is proportional to the square root of the...
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Use Kepler's 3rd Law and the small angle approximation.

a) An object is located in the solar system at a distance from the Sun equal to 41 AU's . What is the objects orbital period?

b) An object seen in a telescope has an angular diameter equivalent to 41 (in units of arc seconds).  What is its linear diameter if the object is 250 million km from you?  Draw a labeled diagram of this situation.

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