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The Orbit of Hale-Bopp Comet, Discovered in 1995 , Is 0.9950.995

question 40

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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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Definitions:

Self-serving Rationalizations

Justifications an individual creates to defend actions or decisions that serve their own interests, often at the expense of truth.

True Intentions

The genuine or actual motivations and goals behind an individual's or group's actions, often as contrasted with stated or apparent objectives.

Alternatives

Refers to the various options or choices available to individuals or organizations when faced with making a decision.

Propensity

A natural inclination or tendency to behave in a particular way.

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