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The Orbit of Hale-Bopp Comet, Discovered in 1995, Is an Ellipse

question 11

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The orbit of Hale-Bopp comet, discovered in 1995, is an ellipse with eccentricity 0.9950.995 and one focus at the Sun. The length of its major axis is 366.5AU366.5 \mathrm { AU } . [An astronomical unit (AU) is the mean distance between Earth and the Sun, about 93 million miles.] Find the maximum distance from the comet to the Sun. (The perihelion distance from a planet to the Sun is a(1e) a ( 1 - e ) and the aphelion distance is a(1+e) a ( 1 + e ) .) Find the answer in AU\mathrm { AU } and round to the nearest hundredth.


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