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

question 18

Short Answer

The orbit of Hale-Bopp comet, discovered in 1995, is an ellipse with eccentricity $0.995$ and one focus at the Sun. The length of its major axis is $366.5 \mathrm { AU }$ . [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 $a ( 1 - e )$ and the aphelion distance is $a ( 1 + e )$ .) Find the answer in AU and round to the nearest hundredth.

Identify and understand the units and symbols related to inductors and inductive circuits.

Calculate inductive reactance given frequency and inductance.

Calculate the total inductive reactance for series and parallel configurations.

Analyze the effect of inductance in AC circuits, including power factor and phase relationships.

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Definitions:

Counting

The action of finding the number of elements of a finite set of objects.

Reasoning Ability

The capacity to process information logically, draw conclusions, and make informed decisions based on available information.

Literacy

The ability to read, write, and understand text, which enables communication and access to information.

Generalize

The cognitive process of extracting common properties from specific examples to form a general concept or conclusion.