Gravitational problem, spacecraft orbital period

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SUMMARY

The discussion focuses on calculating the altitude required for a lunar module to orbit the Moon in 1 hour, 49 minutes, and 39 seconds. Participants emphasize the importance of understanding the orbital period equations, specifically referencing the gravitational formula g = Gm/r². To solve the problem, one must research the mass of the Moon and apply the appropriate orbital period equations to determine the necessary altitude.

PREREQUISITES
  • Understanding of gravitational force and the equation g = Gm/r²
  • Knowledge of orbital mechanics and orbital period calculations
  • Familiarity with the mass of celestial bodies, specifically the Moon
  • Basic algebra skills for manipulating equations
NEXT STEPS
  • Research the mass of the Moon for accurate calculations
  • Study the derivation and application of the orbital period formula
  • Learn about the relationship between altitude and orbital velocity
  • Explore examples of orbital mechanics problems involving different celestial bodies
USEFUL FOR

Students studying physics, particularly those focusing on orbital mechanics, as well as educators looking for examples of gravitational problems related to lunar missions.

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Homework Statement



I need help getting started with this problem

At what altitude above the surface of the Moon must a lunar module orbit in order to complete each orbit in 1 h 49 min 39 s?

Homework Equations


g= Gm/r^2 ?

The Attempt at a Solution


Not quite sure how to start or anything , any help would be nice
 
Physics news on Phys.org
You need to research some additional items. Look in your notes and textbook for the topic of orbital periods. You should be able to find an equation that will give you the period, knowing the mass of the central body. So you'll need to look up the mass of the Moon, too...
 

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