Jupiter’s Satellites The accompanying graph shows the positions in June of Ganymede, Calli...

Jupiter’s Satellites The accompanying graph shows the positions in June of Ganymede, Callisto, Io, and Europa, the four bright satellites of Jupiter. Jupiter itself is the center horizontal bar. The paths of the satellites are nearly sine waves because the orbits of the satellites are nearly circular. The distances from Jupiter to Io, Europa, Ganymede, and Callisto are 262,000, 417,000, 666,000, and 1,170,000 miles, respectively.

a. From the graph, estimate the period of revolution to the nearest hour for each satellite. For which satellite can you obtain the period with the most accuracy?

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b. What is the amplitude of each sine wave?