Concept explainers
To find: The standard form of the equation of ellipse with center at origin and major axis on the x-axis with given conditions.
Answer to Problem 55E
The equation of ellipse is
Explanation of Solution
Given information:
Halley’s comet has an elliptical orbit with sun at one focus. The eccentricity of the orbit is approximately
Calculation:
The major axis of the ellipse is horizontal.
So, the general equation of ellipse is
Use the formula for length of the major axis.
So, the value of
Use the formula for eccentricity of ellipse.
Use the formula.
Now substitute
Therefore, the equation of ellipse is
Chapter 9 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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