Explanation Given: The path of the earth around the sun is an ellipse with the sun at one focus. The ellipse has major axis of length 186 , 000 , 000 mi and eccentricity 0.017 . Approach: e = c a . Here, e is eccentricity, c is focal length, and a is half of the length of the major axis. The shortest distance between focus and the ellipse is a − c . Calculation: Length of major axis, 2 a = 186 , 000 , 000 , so a = 93 , 000 , 000 . Eccentricity, e = 0.017 . c = a e = 93 , 000 , 000 × 0 To determine (b) To find: The distance between the earth and the sun when the earth is closest to the sun.

4th Edition

ISBN: 9781305719781

Author: James Stewart, Lothar Redlin, Saleem Watson

Publisher: PEARSON

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Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is…

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Chapter 12.CR, Problem 65E

To determine

(a)

To find:

The distance between the earth and the sun when the earth is closest to the sun.

To determine

(b)

To find:

The distance between the earth and the sun when the earth is closest to the sun.

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Chapter 12.CR, Problem 64E

Chapter 12.CR, Problem 66E

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(a) To find: The distance between the earth and the sun when the earth is closest to the sun.

Solution Summary: The author calculates the distance between earth and the sun when the earth is closest to the Sun.