   Chapter 12.6, Problem 45E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# Orbit of Pluto Distance from Pluto to the sun is 4.43 × 10 9   km at perihelion and 7.37 × 10 9   km at aphelion. Use Exercise 44 to find the eccentricity of Pluto’s orbit.

To determine

To find:

The eccentricity of Pluto’s orbit.

Explanation

Given:

The distance from Pluto to the sun is 4.43×109km at perihelion and 7.37×109km at aphelion.

Approach:

Pluto moves around the sun in elliptical orbit so we can use the relations in 44(a) and eliminate a from the two relations and then solve for e.

Calculation:

Since,

The distance from the sun at perihelion, a(1e)=4.43×109km.

The distance from the sun at aphelion, a(1+e)=7.37×109km.

Dividing the above two equations we get:

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