Suppose you are at the earth\'s equator and observe a satellite passing directly

Question

Suppose you are at the earth's equator and observe a satellite passing directly overhead an observe this satellite to be directly overhead. How far above the earth's surface is the satellite's orbit? m we st to east in the sky. Exactly 16.0 hours later, you again h 1.9145 10 Submit My Answers Give Up Incorrect; Try Again; 2 attempts remaining Part B You observe another satellite directly overhead and traveling east to west. This satellite is again overhead in 16.0 hours. How far is this satellite's orbit above the surface of the earth? 4924-107 | Im Submit My Answers Give Up Incorrect; Try Again; 4 attempts remaining

Explanation / Answer

A. let distacne of the satellite from the surface of earth be h

radius of earth, Re = 6371,000 m

Mass of earth = Me = 5.972*10^24 kg

also, theta = 2*pi*(Re + h)*16/24*(Re + h)

theta = 1.333*pi

hence

speed of satellite = v

v = ((2*pi + 1.333pi)*(Re + h))/16*60*60 m/s

also

v^2 = GM/(Re + h)

hence

h = 16557382.01725 m = 1.6557*10^7 m

B. in this case

v = ((2*pi - 1.333pi)*(Re + h))/16*60*60 m/s

also

v^2 = GM/(Re + h)

hence

h = 6.0665*10^7 m

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