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Question: Problem 12.81 A satellite follows the elliptical o...
Problem 12.81
A satellite follows the elliptical orbit shown. The only force on the satellite is the gravitational attraction of the planet. The satellite's speed at point a is 9000 m/s . (Figure 1)What is the satellite's speed at point b?
What is the satellite's speed at point c?
Planet 9000 km 30,000 km bo 24,000 km.Explanation / Answer
rA = (30,000/2) - 9000 = 6000 km
rB = 30,000 - 6000 = 24000 km
rC = sqrt[ 9000^2 + (24000/2)^2]
rC = 15000 km
Applying angular momentum conservation,
m v r = constant
m x 9000 x 6000 = m x vB x 24000
vB = 2250 m/s ...............Ans
m x 9000 x 6000 = m x vC x 15000
vC = 3600 m/s ..........Ans
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