Solution: Find the eccentricity of the ellipse

The earth’s orbit is an ellipse with the sun at one of the foci. If the farthest distance of the sun from the earth is 105.5 million km and the nearest distance of the sun from the earth is 78.25 million km, find the eccentricity of the ellipse.

Find the eccentricity of the ellipse

Problem Statement: CE Board November 1992

The earth’s orbit is an ellipse with the sun at one of the foci. If the farthest distance of the sun from the earth is 105.5 million km and the nearest distance of the sun from the earth is 78.25 million km, find the eccentricity of the ellipse.

Problem Answer:

The eccentricity of the ellipse is 0.15.

Solution:

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