From: titang78@gmail.com   
      
   Le jeudi 31 octobre 2019 21:56:14 UTC+1, richali...@gmail.com a écrit :   
   >   
   > Special Relativity only applies to inertial frames in flat space-time.   
   > Satelites in orbit are not in flat space-time, even though they are in   
   > locally inertial frames.  To properly analyze this case you need GR,   
   > which I assume would handle it correctly.   
   >   
   > Rich L.   
      
   The local frame at any point in general relativity is a locally inertial   
   frame. In such frame, relativity of simultaneity applies, so the time of   
   point 1 and 2 are different. Suppose they are t'1 and t'2 and   
   dt'=t'2-t'1 in frame 1. then, in frame 2 next to frame 1, we have   
   dt'=t'3-t'2. So, we have   
   t'2=dt'+t'1 in frame 1. Suppose t'1=0. Then,t'2=dt'. Then, we have   
   successively,   
   t'3=dt'+t'2=2*dt' in frame 2   
   t'4=dt'+t'3=3*dt' in frame 3   
   ...   
   t'(n+1)=dt'+t'n=n*dt' in frame n   
      
   So, the time of the satellite n+1 is n*dt' even in GR. But satellite n+1   
   is satellite 1 and its time should be 0. Hence, even in GR, relativity   
   of simultaneity leads to contradiction.   
      
   PK   
      
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