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

question 70

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:

Depositary Bank

A financial institution that holds and manages the deposits of securities, facilitating the exchange and protection of securities certificates.

Indorsement

A legal term referring to the signing of a document, usually on its back, for the purpose of transferring rights to another individual.

Executory Promise

A commitment in a contract that has not yet been fulfilled or carried out by one or both parties.

Negotiable Instrument

A written promise certifying the payment of a certain sum of money, either upon request or at a predetermined date, with the document specifying the individual responsible for payment.