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GPS and special relativity

  1. Feb 15, 2008 #1
    [SOLVED] GPS and special relativity

    1. The problem statement, all variables and given/known data
    time dilation of gps receivers and satellites


    2. Relevant equations
    [tex]\Delta\tau[/tex] = [tex]\gamma[/tex][tex]\Delta[/tex] t


    3. The attempt at a solution

    so its a part of my project, my tutor has worked it out as using the above equation and has gotten 7microseconds which is the correcr answer, but i cant seem to get that.
    Ive got gamma = 1 somehow so theres no difference. my relativity is at best bad lol, so should i use the lorentz transformations?
    V = 3.9 e3 m/s
    t = 8.64 s (one day)

    I cant see what im doing wrong or where to go with this.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Feb 15, 2008 #2

    Kurdt

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    Staff Emeritus
    Science Advisor
    Gold Member

    If he got an answer of 7 microseconds he probably used the binomial expansion approximation.

    [tex] T \approx T_0 \left(1+\frac{v^2}{2c^2}\right) [/tex]
     
  4. Feb 15, 2008 #3
    thanks just got it now, used the expansion and got it.
     
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