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    Hafele & Keating Experiment: Effect of Latitude, Altitude and Velocity on the rates of two clocks in a round the world trip.  
    Clock degrees minutes Earth radius at lat. (m) altitude of clock (m) clock v east (m/s) v in ECI frame  
    latitude 1 (East)  
    latitude 2 (West)  
    Clock Drate at altitude h, latitude f, velocity v   hours in trip cos(lat) sin(lat) Earth radius at pole (m)  
    Clock Lat. 1 Clock Lat. 2 East  
    Height term Height term West a*a*cos(lat) b*b*sin(lat) Earth radius at equator (m)  
    gh/C^2 gh/C^2   seconds in trip  
    East a*cos(lat) b*sin(lat) Earth W average  
    speed term speed term West  
    v^2/2c^2 v^2/2c^2   cos(lat) sin(lat) Earth Velocity RW (m/s)  
      Earth Circumference  
    Sagnac term Sagnac term   at latitude 1 (m) a*a*cos(lat) b*b*sin(lat)  
    vWRcosf/c^2 vWRcosf/c^2 East  
      at latitude 2 (m) a*cos(lat) b*sin(lat)  
    Dt for clock (ns) Dt for clock (ns) West  
    East West      
    height term The conditions of the Hafele & Keating Experiment are pre-loaded. The simulator calculates  
    speed term the time gained or lost by each clock carried by a plane straight around the world's equator once
    Sagnac term either east or west at the heights and speeds reported. Since the actual paths were not straight
    total kinematic or at constant height and velocity, the final integrated Hafele & Keating result was a little different
    Net Dt then that shown here, at -40 ns for the eastbound clock and +275 ns for the westbound clock after
      returning to the starting point. The Dt is the time gained or lost with respect to a clock that remained
      stationary at the starting point. Other values for hours in trip, latitude of each clock, and altitude
      of each clock, can be entered to see how it would affect the result by pressing calculate.  
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