Solve each problem.
Orbit of Mir The elliptical orbit of the Mir space station had the equation
where one of the foci is at the center of Earth. Solve this equation for y and graph the resulting two functions on the same screen as the graph obtained in the previous exercise. The graph of the
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- A comet moves in an elliptical orbit around a sun. The closest the comet gets to the sun is approximately 15 AU and the furthest is approximately 85 AU. The sun is one of the foci of the elliptical orbit. Letting the ellipse center at the origin and labeling the axes in AU, the orbit will look like the figure below. Use the graph to write an equation for the elliptical orbit of the comet.arrow_forwardA planet moves in an elliptical orbit around its sun. The closest the planet gets to the sun is approximately 10 AU and the furthest is approximately 70 AU. The sun is one of the foci of the elliptical orbit. Letting the ellipse center at the origin and labeling the axes in AU, the orbit will look like the figure below. Use the graph to write an equation for the elliptical orbit of the planet.arrow_forwardProve that segment FV in Example 7 is the shortest distance between the Earth and the Sun. Hint: Refer to Exercise 63. EXAMPLE 7 The orbit of the Earth is approximately an ellipse, with the sun at one focus. The ratio of c to a called the eccentricity of the ellipse is about 162, and the length of the major axis is approximately 186,000,000 miles. How close does the Earth get to the sun?arrow_forward
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