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Time dilation earth

  1. Jul 31, 2008 #1
    I have calculated the clock rate difference between the surface of the sun and at the position of the earth’s orbit relative to the sun.

    t_0 = t_f \sqrt {1 - \frac{{2GM}}{{rc^2 }}}

    I hope the LaTex equation above is displaying correctly. In the preview it is picking up some other equation.
    Should be t0=tf(sqrt(1-2GM/rc^2))

    Mass of Sun 2x10^30 kg
    Radius of Sun 0.7x10^9m

    Radius of earth’s orbit 1.5x10^11
    G = 6.67x10^-11 and c=3x10^8

    I used the equation for gravitational time dilation and found that the sun lags the earth by approximately 180 ms per earth day.
    I ignored all velocity issues as I was only interested in GR issues. I haven’t used any properties of the earth except its distance from the sun.
    This is more of a sun question with a satellite at the distance of the earth.

    The request that I have if somebody could independently do the calculation to corroborate my result (180 ms per earth day).
    Last edited by a moderator: Jul 31, 2008
  2. jcsd
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