Solved: ?For the following exercises, determine the eccentricity and identify the conic

Chapter 1, Problem 348

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For the following exercises, determine the eccentricity and identify the conic. Sketch the conic.

The C/1980 E1 comet was observed in 1980. Given an eccentricity of 1.057 and a perihelion (point of closest approach to the Sun) of 3.364 AU, find the Cartesian equations describing the comet’s trajectory. Are we guaranteed to see this comet again? (Hint: Consider the Sun at point (0, 0).)

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