Some comets orbit the sun in elliptical orbits with the sun at one focus. The path of the orbit of Halley's Comet has a major axis of length 35.8 astronomical units (AU) and an eccentricity of .967. (Source: NASA.) Position the center of the ellipse at the origin and determine the equation of the ellipse. What is the minimum distance between Halley's Comet and the sun?
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