From: starmaker@ix.netcom.com   
      
   On Fri, 28 Nov 2025 21:18:58 +0100, Thomas 'PointedEars' Lahn   
    wrote:   
      
   >Garth Dzhanaev wrote:   
   >> Paul B. Andersen wrote:   
   >>> The SV clock will typically be microseconds off sync, but a number of   
   >>> monitoring stations will track the SV, and measure how the clock   
   >>> behaves, and calculate the correction polynomial parameters which are   
   >>> uploaded to the SV at least once every three days, typically once a day.   
   >>>   
   >>> See:   
   >>> https://paulba.no/div/GPS_clock_correction.pdf   
   >>   
   >> thanks, we are great, microseconds accumulates, actually more on earth,   
   >> than in space;   
   >   
   >No, one would have to move in outer space sufficiently fast relative to the   
   >surface of Earth (or any other celestial body) for less proper time to   
   >elapse there than on the surface of Earth.   
   >   
   >Assuming a spherically-symmetric planet, we may use the Schwarzschild metric   
   >in Schwarzschild coordinates (with sign convention -+++, and in natural   
   >units for simplicity) to find that out:   
   >   
   > ds^2 = -(d tau)^2   
   > = -(1 - 2m/r) dt^2 + (1 - 2m/r)^-1 dr^2 + r^2 (d Omega)^2   
   > = -dt^2 [(1 - 2m/r) - (1 - 2m/r)^-1 (dr/dt)^2 - r^2 (d Omega/dt)^2],   
   >   
   > m = G M/c^2   
   >   
   >==> d tau   
   > = dt sqrt[(1 - 2m/r) - (1 - 2m/r)^-1 (dr/dt)^2 - r^2 (d Omega/dt)^2]   
   > = dt sqrt[(1 - 2m/r) - (1 - 2m/r)^-1 (dr/dt)^2   
   > - r^2 {(d theta/dt)^2 + sin^2(theta) (d phi/dt)^2}]   
   >   
   >As you can see, the elapsed proper time _increases_ with increasing radius   
   >(r), i.e. at relative rest, _more_ of it elapses in outer space than on the   
   >ground, and decreases with increasing relative speed (dr/dt, d theta/dt,   
   >d phi/dt).   
   >   
   >But since GPS satellites are in an *orbit* (with an altitude of ca. 20'000   
   >km), and the orbital speed *decreases* with increasing radius, this is not   
   >the case for the elapsed proper time aboard the satellites.   
      
      
      
   Oh, I get it now...   
      
   you run your statement FIRST with all the Ai platforms..   
      
   then when they are all finished cleaning up the loose ends and   
   errors...   
      
   you post their airtight clean results, RIGHT?   
      
      
   a 3 year old with pointed ears can do dat..   
      
   "these have been validated by all Ai LLM platforms"   
      
   Any attempt to validate the information using the Ai LLM platforms   
   tools available...is punishable by death!   
      
   Pretend, and leave an error so it won't give you away soooo easy.   
      
      
      
      
      
      
   --   
   The Starmaker -- To question the unquestionable, ask the unaskable,   
   to think the unthinkable, mention the unmentionable, say the unsayable,   
   and challenge the unchallengeable.   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)   
|