SOLUTION: If the average radius of the orbit of Venus is 0.723 AU, then how many years does it take for Venus to complete one orbit of the sun? According to Kepler's third law of planetary m

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Question 145435: If the average radius of the orbit of Venus is 0.723 AU, then how many years does it take for Venus to complete one orbit of the sun? According to Kepler's third law of planetary motion, the ratio T^2/R^3 has the same value for every planet in our solar system. R is the average radius of the orbit of the planet measured in astronomical units (AU), and T is the number of years it takes for one complete orbit of the sun.
This problem is included in a chapter that with radicals and rational exponents. Thanks for any help you can give me!

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
If the average radius of the orbit of Venus is 0.723 AU, then how many years does it take for Venus to complete one orbit of the sun? According to Kepler's third law of planetary motion, the ratio T^2/R^3 has the same value for every planet in our solar system. R is the average radius of the orbit of the planet measured in astronomical units (AU), and T is the number of years it takes for one complete orbit of the sun.
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T^2/(0.723)^3 = 1
T^2 = 0.377933...
T = 0.61476... years
======================
Cheers,
Stan H.

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