Find the Eccentricity E of the Ellipse $606 \mathrm {~km}$ Determine an Equation for the Ellipse If the Distance

question 79

Multiple Choice

Find the eccentricity e of the ellipse.
-A satellite is to be put into an elliptical orbit around a moon. The moon is a sphere with radius $606 \mathrm {~km}$ . Determine an equation for the ellipse if the distance of the satellite from the surface of moon varies from $308 \mathrm {~km}$ to $988 \mathrm {~km}$ .

• A) \(\frac { x ^ { 2 } } { 1594 ^ { 2 } } + \frac { y ^ { 2 } } { 914 ^ { 2 } } = 1\)
• B) \(\frac { x ^ { 2 } } { 988 } + \frac { y ^ { 2 } } { 308 } = 1\)
• C) \(\frac { x ^ { 2 } } { 914 ^ { 2 } } + \frac { y ^ { 2 } } { 1594 ^ { 2 } } = 1\)
• D) \(\frac { x ^ { 2 } } { 308 } + \frac { y ^ { 2 } } { 988 } = 1\)

---

Definitions:

Manufacturing Plant

A facility equipped with machinery for the processing and production of goods or materials.

Workers' Rights

A set of legal rights and claimed human rights having to do with labor relations between workers and their employers, usually obtained through collective bargaining and labor legislation.

Free Market Capitalism

An economic system where prices for goods and services are determined by the open market and consumers, with minimal governmental intervention.

Adam Smith

An 18th-century Scottish economist and philosopher known as the father of modern economics, best known for his theories on free markets and the invisible hand.