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

question 46

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 $106 \mathrm {~km}$ and apolune altitude $318 \mathrm {~km}$ (above the moon). Find an equation of this ellipse if the radius of the moon is $1728 \mathrm {~km}$ and the center of the moon is at one focus.

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Definitions:

Pure Monopolist

A single supplier in a market, with no close substitutes for its product, giving it significant control over prices.

Maximum Profit

The highest level of profit attainable when total revenue is maximized and total costs are minimized under given market conditions.

Natural Monopoly

A type of monopoly that occurs when a single firm can supply a market with a good or service more efficiently and at a lower cost than could be achieved by multiple competing firms, due to economies of scale.

Network Effects

The effect that additional users of a product or service have on the value of that product to others, where the value increases as more people use it.