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Trying to find orbital radius of a satellite

  1. Oct 27, 2008 #1
    1. The problem statement, all variables and given/known data

    A geostationary satellite in orbit around the earth has a period identical to that of the earth's daily rotation; the radius of such an orbit is 4.23 \times 10^4 kilometers. A system of satellites is proposed such that 15 satellites are in orbit at the same radius and each passes over a point fixed on the Earth 14 times per day (the times will be evenly spaced). What will be the orbital radius of each satellite? There will be two such radii; only the smaller will be practical.

    2. Relevant equations

    V = [tex]\sqrt{}Gm(earth)/r[/tex]
    T = 2pir/v

    3. The attempt at a solution

    I tried finding what the current speed would be, but I got a larger value. I'm assuming the speed has to be 14 times what it originally is. I don't know where to begin!
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Oct 27, 2008 #2

    Redbelly98

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    Rather than thinking what the speed should be, try to figure out what either the angular speed or the orbital period should be.
     
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