Comets path Comets can travel in elliptical, parabolic, or hyperbolic paths around the

Chapter 10, Problem 10.3.83

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Comets path Comets can travel in elliptical, parabolic, or hyperbolic paths around the sun. If a comet travels in a parabolic or hyperbolic path, it will pass by the sun once and never return. Suppose that a comets coordinates in miles can be described by the equationforwhere the sun is located at a focus, as shown in the figure.(a) Approximate the coordinates of the sun.(b) For the comet to maintain a hyperbolic trajectory, the minimum velocity v of the comet, in meters per second, must satisfy , where r is the distance between the comet and the center of the sun in meters and is a constant. Determine v when r is minimum.