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I used Newton's version of Kepler's third law to calculate Saturn's mass from orbital characteristics of its moon Titan. | Numerade
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Using Newton's Version of Kepler's Third Law I. a. The Moon orbits Earth in an average time of 27.3 days at an average distance of 384,000 kilometers. Use these facts to determine the mass of Earth. (Hint: You may neglect the mass of the Moon, since its mass is only about (1)/(80) of Earth's.) b. Jupiter's moon Io orbits Jupiter every 42.5 hours at an average distance of 422,000 kilometers from the center of Jupiter. Calculate the mass of Jupiter. (Hint: Io's mass is very small compared to Jupit
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