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.

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Definitions:

Conditional Positive Regard

An attitude of acceptance and love from significant others that is contingent upon the individual behaving in certain ways or meeting specific conditions.

Unconditional Positive Regard

A term in psychology that refers to accepting and supporting someone regardless of what they say or do.

Self-Actualization

The process of reaching one's maximum potential and talents, understood as a universal desire or imperative present among all individuals.

Fully Functioning Person

A concept in humanistic psychology referring to an individual who is living in alignment with their true self, actively growing, and realizing their potential.