Polar equations of conics can be used to describe the motion of comets. These paths can be graphed using the following polar equation, where e is the eccentricity of the conic and r per is the perihelion distance measured in AU. The orbit of Saturn has r per = 9.006 and e = 0.056. The motion of Encke's Comet has r per = 0.3317 and e = 2.718282. Graph both the motion of the comet and the orbit of Saturn.
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