a) Find the time of one revolution of the satellite.
b) Find the radial acceleration of the satellite in its orbit.
1 Answer
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T = 2pi*r/v
r = GM/v^2
T = 2pi*GM/v^3 = 2pi*gR^2/v^3
R = 6400000 m
T = 10090 s = 2.8 hr
a = v^2/r = v^4/GM = v^4/gR^2 = 3.9 m/s^2
Answer:
a) 2.8 hr
b) 3.9 m/s^2