Practice: Io and Ganymede are two of Jupiter’s four Galilean moons. Io orbits at an average distance of 422,000km in 1.77 days. What is Ganymede’s average orbital distance (in km), if it takes 4 times longer to orbit Jupiter?

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Practice: Io and Ganymede are two of Jupiter’s four Galilean moons. Io orbits at an average distance of 422,000km in 1.77 days. What is Ganymede’s average orbital distance (in km), if it takes 4 times longer to orbit Jupiter?

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Concept #1: Kepler's Third Law

Example #1: Jupiter & Neptune's orbits

Practice #1: Io & Ganymede's orbits

The orbit of Uranus is 19.2 times as large as the Earth’s orbit. How long is a Uranian year?
A) 1 Earth year
B) 19 Earth years
C) 84 Earth years
D) 7100 Earth years
E) 7.2 Earth years

How long would our year be if our Sun were one fourth its present mass and the radius of the Earth’s orbit were two times its present value?
1. 12.9099
2. 33.0681
3. 46.7654
4. 32.078
5. 5.65685
6. 60.3738
7. 16.4317
8. 9.0
9. 41.4126
10. 18.0

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