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Satellite orbiting earth

  1. Dec 21, 2006 #1
    1. The problem statement, all variables and given/known data
    Calculate at what height above the earth's surface a satellite must be placed if it is to remain over the same geographical point on the equator of the earth. What is the velocity of such a satellite?

    2. Relevant equations
    v = sqrt(G*m / r)

    3. The attempt at a solution
    At first I thought the velocity of the satellite would have to be the same as the earth, but since r is different the velocity must also be different. I have 2 unknowns for the satellite, the velocity and r, and can't figure out what to do now.

    Thanks for your help.
     
  2. jcsd
  3. Dec 21, 2006 #2

    Doc Al

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    Staff: Mentor

    It must have the same angular velocity as the earth.
     
  4. Dec 21, 2006 #3
    Hm..we haven't covered angular velocity yet. Is there another way to do it?
     
  5. Dec 21, 2006 #4

    Doc Al

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    Staff: Mentor

    Whether you've explicitly covered angular velocity or not, there's no way around the fact that if the satellite is to "remain over the same geographical point" its angular speed must equal that of the earth. If you think in terms of both the earth's surface and the satellite sweeping out equal angles in equal times, that might help you figure it out.
     
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