Concept explainers
a.
To find: the angular velocity needed to maintain a LEO satellite.
a.
Answer to Problem 42E
Explanation of Solution
Given information:
Linear velocity
Radius of earth
Distance of LEO satellite’s lowest orbit above Earth
Calculation:
The distance between from the satellite to the Earth
The angular velocity can be evaluated as follows:
Thus the angular velocity of satellite in the lower orbit is
b.
To find: distance between LEO and Earth.
b.
Answer to Problem 42E
290 miles
Explanation of Solution
Given information:
Linear velocity
Radius of earth
Angular velocity
Calculation:
The distance between from the satellite to the Earth
The angular velocity can be evaluated as follows:
Thus the distance is 290 miles.
c.
To find: the angular velocity of any LEO satellite.
c.
Answer to Problem 42E
Explanation of Solution
Given information:
Linear velocity
Radius of earth
Distance of LEO satellite’s lowest orbit above Earth
Distance of LEO satellite’s highest orbit above Earth
Calculation:
The distance between from the satellite of highest orbit to the Earth
The angular velocity can be evaluated as follows:
Thus the angular velocity of highest orbit is
The angular velocity of lowest orbit evaluated in part a. is
Chapter 6 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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