In 1619, Kepler published his third law, which relates ,

Chapter , Problem 11.7.36

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In 1619, Kepler published his third law, which relates , the distance of a planet from the Sun, to , the period of the planetthe time it takes for the planet to orbit the Sun. Kepler conjectured that = 32, where is a constant that he determined empirically from experimental data. Table 11.42 represents modern observational data. Does this model fit the data? What is your estimate for ? What is the final form of Keplers law? Table 11.42 The period and distance of a planet from the Sun Planet Distance Period (kms 106) (days) Mercury 57.9 88 Venus 108.2 225 Earth 149.6 365 Mars 227.9 687 Jupiter 778.3 4329 Saturn 1427.0 10753 Uranus 2870.0 30660 Neptune 4497.0 60150 Pluto 5900.0 90670

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