A satellite is in elliptical orbit around the earth with the center of the earth at one focus. The height of the satellite above the earth varies between 140 miles and 440 miles. Assume the earth is a sphere with radius of 3960 miles. Find an equation for the path of the satellite with the origin at the center of the earth.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 54E
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A satellite is in elliptical orbit around the earth with the center of the earth at one focus. The height of the satellite above the earth varies between 140 miles and 440 miles. Assume the earth is a sphere with radius of 3960 miles. Find an equation for the path of the satellite with the origin at the center of the earth.

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