Thursday, September 6, 2018

general relativity - What is the correct formula for gravitational time dilation for a satellite in a circular orbit?


In the Wikipedia article on Gravitational Time Dilation I see two formulae for the gravitational time dilation. One contains $\sqrt{1 - r_0/r}$ but the other $\sqrt{1 - 1.5 r_0/r}$. What formula should I use to calculate the time dilation due to gravity inside a satellite? The speed induced time dilation is of course just special relativity.


With the first of these two formulas I can perfectly reproduce the graphs on time dilation as a function of $r$, I find that the two contributions to time dilation cancel at 1.5 Earth radii, all numbers are OK... But why not the second formula?




-

No comments:

Post a Comment

Subscribe to: Post Comments (Atom)

classical mechanics - Moment of a force about a given axis (Torque) - Scalar or vectorial?

I am studying Statics and saw that: The moment of a force about a given axis (or Torque) is defined by the equation: $M_X = (\vec r \times \...

  • IQ test sample patterns
    I was solving the sample problems for my school's IQ society and there are some I don't get. Since all I get is a final score, I wan...
  • homework and exercises - Parallel or series connection?
    Are C1, C2 and C3 connected in parallel, or C2, C3 in parallel and C1 in series with C23? Btw it appeared as a question in the basic physics...
  • A real star riddle
    500 are at my end, 500 are at my start, but at my heart there are only 5. The first letter and the first number make me complete: Some consi...