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0/1 points I Previous Arswers SerPSE9 13 P027 soln A synchronous satellite, whic

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Question

0/1 points I Previous Arswers SerPSE9 13 P027 soln A synchronous satellite, which always remains above the same point on a planet's equator, is put in orbit around Jupiter to study that planet's famous red spot. Jupiter rotates once every 9.84 h. Use the following data to find the altitude of the satelite above the surface of the planet. Jupiter has a mass of 1.90 x 107 kg, and a mean My Notes Ask Your radius of 6.99 x 107 m 1.001e7 Your response aiffers significantly from the correc t answer. Rework your solution from the beginning and check each step carefully, km Need Help? Submit Answer Save Progress

Explanation / Answer

Here,

let the altitude of the satellite is h

as TIme perdiod is T

T^2/(R + h)^3 = 4pi^2/(G * M)

(9.84 * 3600)^2/(6.99*10^7 + h)^3 = 4pi^2/(6.673 *10^-11 * 1.90 *10^27)

solving for h

h = 8.92 *10^7 m

the alitude of the satellite must be 8.92 *10^7 m