> The piece didn't say anything about correcting for acceleration.
Hi Max,
True, but at one point the video mentioned microsecond resolution, and at that
level, no relativistic corrections for airplane trips are needed.
If you want to get down to nanoseconds, then yes, you will want to apply
altitude (gravitational), velocity, and Sagnac corrections.
You can use my rel.exe tool (www.leapsecond.com/tools/) to calculate the two
relativistic effects:
C:\tvb> rel 35000ft 500mph 8hr
** Altitude 10668.000 m (35000.000 ft, 6.629 mi) 1.161e-012 blueshift
4181.381949 ps/hour
100.353167 ns/day
** Velocity 223.520 m/s (804.672 km/h, 500.000 mph) -2.779e-013 redshift
-1000.607783 ps/hour
-24.014587 ns/day
** Net effect (GR+SR) 8.835e-013 shift
3180.774165 ps/hour
76.338580 ns/day
** Duration 28800 seconds (8.000 hours, 0.333333 days)
25446.193322 ps total
25.446193 ns total
0.025446 us total
So for an 8 hour flight at 500 mph at 35,000 feet the time dilation correction
is only about 25 ns.
Add to that the Sagnac correction for East-West or West-East travel between
USNO and NPL, about +/- 22 ns.
/tvb
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