Satellite A has a mass of 1100 kg and satellite B has a mass of 1300 kg. Part A

Question

Satellite A has a mass of 1100 kg and satellite B has a mass of 1300 kg. Part A When each satelite orbits at one Earth radius above the surface of the Earth, The period of satellite B will be shorter than that of satellite A The period of satellite A will be shorter than that of satellite B The period of satellite B will be the same as the period of satellite A . Previous Answers Correct Part B Calculate the orbital period of satellites A and B Express your answer using three significant figures

Explanation / Answer

(B) r = Re + h = Re + Re = 2 x 6.37 x 10^6 m

for circular orbit,

Fg = m a_c

G M m / r^2 = m w^2 r

G M / r^3 = w^2

w^2 = (6.67 x 10^-11)(5.976 x 10^24) / (2 x 6.37 x 10^6)^3

w = 4.39 x 10^-4 rad/s

and T = 2 pi / w = 14310.8 s or 3.97 hr

Ans: 3.97 h

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