Question: Neptune and Pluto both have elliptical orbits with the sun at one focus. Neptunes orbit has a = 30.1 astronomical units (AU) with an eccentricity

Neptune and Pluto both have elliptical orbits with the sun at one focus. Neptune’s orbit has a = 30.1 astronomical units (AU) with an eccentricity of e = 0.009, whereas Pluto’s orbit has a = 39.4 and e = 0.249.

(a) Position the sun at the origin and determine equations that model each orbit.

(b) Graph both equations on the same coordinate axes. Use the window [-60, 60] by [-40, 40].

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