(Solution) - German astronomer Johannes Kepler 1571 1630 discovered in 1619 that the -(2025 Original AI-Free Solution)

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German astronomer Johannes Kepler (1571-1630) discovered in 1619 that the mean orbital radius of a planet, measured in astronomical units (AU), is equal to the time of one complete orbit around the sun, measured in years, raised to a power of 2/3.
a. Venus has an orbital time of 0.615. What is its radius?
b. Saturn has a radius of 9.542 AU. How long is its orbital time?
c. Complete this table.