Polar equations of conics can be used to describe the

Chapter 10, Problem 10.6.39

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Polar equations of conics can be used to describe the motion of comets. These paths can be graphed using the polar equation where e is the eccentricity of the conic and is the perihelion distance measured in AU. (a) For each comet, determine whether its trajectory is elliptical, parabolic, or hyperbolic. (b) The orbit of Saturn has and . Graph both the motion of the comet and the orbit of Saturn in the specified viewing rectangle.

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