Solving Physics Time Problem: Apollo Lunar Landing Mission

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SUMMARY

The discussion centers on calculating the orbital period of the Apollo lunar command module at an altitude of 104 km above the Moon's surface. The relevant equation used is T^2 = [4π²(r)]/g, where r represents the radius from the center of the Moon to the command module. The incorrect calculation of 1.7e13 minutes indicates a misunderstanding of the mass of the Moon, represented as 7.35e25 kg. The correct approach requires proper application of the gravitational constant and accurate radius measurement.

PREREQUISITES
  • Understanding of gravitational physics and orbital mechanics
  • Familiarity with the equation T^2 = [4π²(r)]/g
  • Knowledge of the Moon's mass (7.35e25 kg) and radius
  • Basic algebra for solving equations
NEXT STEPS
  • Review gravitational physics principles related to orbital mechanics
  • Study the derivation and application of Kepler's laws of planetary motion
  • Learn about the gravitational constant and its role in orbital calculations
  • Explore the specifics of the Apollo lunar missions and their orbital dynamics
USEFUL FOR

Students studying physics, educators teaching orbital mechanics, and aerospace engineers interested in lunar mission dynamics.

mathcrzy
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1. Homework Statement

During an Apollo lunar landing mission, the command module continued to orbit the Moon at an altitude of about 104 km. How long did it take to go around the Moon once?

2. Homework Equations

T^2=[4pi^2(r)]/g

3. The Attempt at a Solution

square root of 4pi^2(7.35e25+104000)/9.8=1.7e13min. this answer does not make sense though
 
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Where does the 7.35e25 come from?
 

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