How to Calculate Space Shuttle Orbital Parameters?

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SUMMARY

The discussion focuses on calculating the orbital parameters of the Space Shuttle, which orbits at an average altitude of 210 miles with a mass of approximately 100,000 kg. Key calculations include determining the distance from the center of the Earth and the velocity required for a stable circular orbit using the equations for kinetic and potential energy. The kinetic energy is expressed as K=1/2mv^2, while the potential energy is given by U=-G(m1m2/r). Understanding these concepts is essential for analyzing the shuttle's orbital dynamics.

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  • Understanding of gravitational forces and orbital mechanics
  • Familiarity with kinetic and potential energy equations
  • Knowledge of the universal gravitational constant (G)
  • Basic algebra and calculus skills for solving equations
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Homework Statement


The orbit of the Space Shuttle is usually circular with an average altitude above the Earth of around 210 miles. The mass of the Space Shuttle on orbit is about 100,000 kg.

1. What is the distance of the Space Shuttle (shuttle) from the center of the Earth?
2. Using forces, calculate the velocity of the shuttle required to maintain a circular orbit.
3. How should the potential energy and kinetic energy behave throughout one orbit?

Homework Equations



K=1/2mv^2

U=-G(m1m2/r)

The Attempt at a Solution



I'm still struggling to grasp some of these concepts and wanted to get a head start with this stuff for the weekend. Anyone think they can get me started? Thanks
 
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We are happy to help; but you should give some of these problems a try, first. Are there any particular concepts/issues you are having trouble with---which might help you get started?
 

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