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Homework Help: Synchronous Satellite problem

  1. Feb 19, 2006 #1
    A rocket is used to place a synchronous satellite in orbit about the earth. What is the speed of the satellite in orbit?

    I know that G= 6.67x10^-11 and the Mass of earth is 5.98x10^24 kg.

    So I'm to assume that I use the equation

    v= Square root of([G*M]/radius)

    But I don't know how high off the ground the satellite is. I know the radius of the earth is 6.38X10^6 m, so I'd add that to how high above the earth it is to get the radius.

    Thanks for your time!
     
  2. jcsd
  3. Feb 19, 2006 #2

    Tide

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    The distance from the center of the Earth is the relevant one. However, you just need to recognize that [itex]\omega r = v[/itex] which you could use to eliminate r from your equation.
     
  4. Feb 19, 2006 #3
    What does the w symbol mean? Never seen that before :confused:
     
  5. Feb 19, 2006 #4

    Tide

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    It's the Greek letter "omega" and it stands for the angular frequency. You may be more familiar with it in this form:

    [tex]\omega = \frac {2\pi}{T}[/tex]

    where T is the orbital period.
     
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