Satellite 2: A satellite is in elliptical orbit around Earth, as shown in Figure 12-7i

Chapter 12, Problem T.15

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Satellite 2: A satellite is in elliptical orbit around Earth, as shown in Figure 12-7i. The major radius of the ellipse is 51 thousand miles, and the focal radius is 45 thousand miles. The center of Earth is at one focus of the ellipse. Figure 12-7i a. Where is the center of the ellipse? What is the minor radius? What is the eccentricity? b. Write the Cartesian equation of the ellipse. Use the equation to find the y-intercepts of the ellipse. c. The satellite is closest to Earth when it is at a vertex of the ellipse. The radius of Earth is about 4000 miles. What is the closest the satellite comes to the surface of Earth?

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