Concept explainers
To calculate: The eccentricity of the orbit.
Answer to Problem 57E
The eccentricity of the orbit is
Explanation of Solution
Given information:
The highest point of Sputnik 1 above Earth’s surface was 939 kilometers and its lowest point was 215 kilometers. One of the focus of elliptical orbit is the center of Earth.
Formula used:
The equation of ellipse whose major axis is x -axis is
Calculation:
Consider the provided information that highest point of Sputnik 1 above Earth’s surface was 939 kilometers and its lowest point was 215 kilometers. One of the focus of elliptical orbit is the center of Earth. Radius of earth is 6378 kilometers.
Recall that the equation of ellipse whose major axis is x -axis is
Now, the length of major axis
Now, the distance between the highest point and center of earth is
Eccentricity is
Thus, the eccentricity of the orbit is
Chapter 10 Solutions
EBK PRECALCULUS W/LIMITS
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