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Geosynchronus Sattelite Question

  1. Nov 12, 2009 #1
    1. The problem statement, all variables and given/known data

    A satellite that stays over the same spot on a planet as it rotates is called a geostationary satellite. (Geostationary satellites must be positioned somewhere over the equator of the planet.) What is the average orbital radius of a geostationary satellite for a planet with a mass of 4.82 x 10^24 kilograms and a period of rotation of 14.0 hours?


    2. Relevant equations



    3. The attempt at a solution

    F = ma
    Fg = GM1m2/r^2
    Gm1m2/r^2 = m2(v^2/r)
    GM1/r = V^2
    GM1/r = (2(pi)/T)^2
    GM1/r = 4(pi)^2r^2/T^2
    GM1T^2/4(pi)^2 = r^3
    r = approx 1.26E8 m

    but i am getting it wrong
     
    Last edited: Nov 12, 2009
  2. jcsd
  3. Nov 12, 2009 #2

    cepheid

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    Looks like a computation error? I get a different answer using that same formula with those same numbers.
     
  4. Nov 12, 2009 #3
    its 10^24... see my post again i edited the question to include the ^

    edit... i got 3.34E8 now...

    nvm back to 1.26E8
     
  5. Nov 12, 2009 #4

    cepheid

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    Yeah, I assumed that's what it meant, but I still got a different answer from you.
     
  6. Nov 12, 2009 #5
    hrm so

    (6.67E-11) * (4.82 x 10^24) * (14*60*60)^2
    /
    (4(pi)^2)

    so doing the math i get approx
    2.01E24 ish

    then do the third square root of that to get r...
    and i get 1.26E8
     
  7. Nov 12, 2009 #6

    cepheid

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    I get approx. 2.06e22.

    Do you mean the cube root?

    It looks like there could be at least two problems with your calculation...
     
  8. Nov 12, 2009 #7
    yes.... i meant the cube root

    but i am doing the calculation right and i keep getting 2.014E24

    (are you doing 14*60*60 to convert hours to seconds?)
     
  9. Nov 12, 2009 #8

    cepheid

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  10. Nov 12, 2009 #9
  11. Nov 12, 2009 #10

    cepheid

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    Yes, that's about what I got.
     
  12. Nov 12, 2009 #11
    about or is.... i have 1 submission to get it right... :tongue:

    thanks

    edit: nailed the problem, much thanks
     
  13. Nov 12, 2009 #12

    cepheid

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