Halley’s comet travels around the Sun in an elliptical orbit given approximately by

where the Sun is at the pole and r is measured in AU (astronomical units). Find the distance from Halley’s comet to the Sun at aphelion and at perihelion. Use the aphelion and perihelion to graph the orbit of Halley’s comet using a graphing utility.

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r = 1.155 1 0.967 cos