The Point in a Lunar Orbit Nearest the Surface of the Moon

question 28

Short Answer

The point in a lunar orbit nearest the surface of the moon is called perilune and the point farthest from the surface is called apolune. The Apollo 11 spacecraft was placed in an elliptical lunar orbit with perilune altitude $106$ km and apolune altitude $318$ km (above the moon). Find an equation of this ellipse if the radius of the moon is $1728$ km and the center of the moon is at one focus.

---

Definitions:

Income Falls

A situation where an individual's or group's earnings decrease over a period of time.

Normal Good

A good for which an increase in income raises the quantity demanded.

Inferior Good

A type of good for which demand decreases as the income of consumers increase, unlike normal goods for which demand increases with an increase in income.

Income Decrease

Income decrease refers to a reduction in the amount of money earned by an individual or received by a household, affecting their ability to spend and save.