   Chapter 10.6, Problem 63E

Chapter
Section
Textbook Problem

# Planetary Motion In Exercises 61–64, use Exercise 60 to find the polar equation of the elliptical orbit of the planet and the perihelion and aphelion distances.Earth a = 1.496 × 10 8 kilometers e = 0.0167

To determine

To calculate: The polar equation of elliptical orbit of planet and perihelion and aphelion distance with the use of exercise 60.

Explanation

Given:

a=1.496×108 Kilometre and e=0.0167

Formula Used:

r=a(1e2)1ecosθ

Calculation:

As the polar equation of orbit is shown in exercise 60:

r=a(1e2)1ecosθ

Therefore, the polar equation of elliptical orbit of the earth is:

r=1.496×108(1(0.0167)2)10.0167.cosθ=1

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