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How to calculate g (geosync orbit)

  1. Oct 3, 2012 #1
    1. The problem statement, all variables and given/known data

    Communications satellites are placed in a circular orbit where they stay directly over a fixed point on the equator as the earth rotates. These are called geosynchronous orbits. The altitude of a geosynchronous orbit is 3.58e7 m.


    2. Relevant equations

    v=2∏r/T

    a=(v^2)/r


    3. The attempt at a solution

    In the previous problem, I was asked to calculate the period of the satellite, which is obviously 24 hours.

    I figure that g is another form of radial acceleration (both point to the center of earth).

    Therefore, I calculated v using the period equation. Once I got v I used the radial acceleration equation to arrive at my answer for g.

    It's wrong though- can anyone explain why and set me on the right track?
     
  2. jcsd
  3. Oct 3, 2012 #2
    Your method is correct. It must be some numeric mistake that you made.
     
  4. Oct 3, 2012 #3
    Did you add on the radius of the earth to the orbit?
     
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