In 1610, Galileo used his telescope to discover four moons

Chapter , Problem 55

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In 1610, Galileo used his telescope to discover four moons around Jupiter, with these mean orbital radii a and periods T: Name a (108 m) T (days) Io 4.22 1.77 Europa 6.71 3.55 Ganymede 10.7 7.16 Callisto 18.8 16.7(a) Plot log a (y axis) against log T (x axis) and show that you get a straight line. (b) Measure the slope of the line and compare it with the value that you expect from Keplers third law. (c) Find the mass of Jupiter from the intercept of this line with the y axis.

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