Hi

There is a (possibly bogus) story from the early days of GPS:

The Cesium standards were specified with a tuning range of X. That all was fine 
on earth. The gotcha was
that the frequency change in orbit was a significant percentage of X. Simply 
put, the guys who did the 
spec “didn’t believe” in relativity (or at least didn’t do the math). When this 
all came up a crash course 
in physics was arranged and the spec was changed. 

Bob


> On May 20, 2016, at 1:00 PM, Tom Van Baak <[email protected]> wrote:
> 
> Hi Peter,
> 
> Good question. And, yes, it would work to use GPS.
> 
> But we don't do it that way because it's a poor physics demonstration to use 
> a highly complex system that *already* takes relativity, propagation delay, 
> gravity and elevation into account (GPS) as a tool to then "detect" 
> relativistic effects in a portable cesium clock at high altitude.
> 
> The clearest demonstration, one free from needing to know anything or 
> everything about GPS, one that avoids circular proof, is just to use two 
> identical synchronized portable clocks. So that's why and what we did.
> 
> Alternatively, a really nice *thought* experiment is -- if your GPS receiver 
> firmware, and if the entire DoD infrastructure eliminated all notions of 
> relativity for one day. Everyone would then get a wonderful lesson on why 
> relativity is important in a satellite-based PNT system like GPS. Hint: it 
> would screw up 1PPS timing and UTC by tens of microseconds, but as far as I 
> can tell, it would distort positioning only by a small fraction of a meter.
> 
> The nearest we have to this thought experiment was the pre-GPS experiment 
> done with NTS-2 in 1977. Read, or at least look at the plots at the end of:
> http://leapsecond.com/history/Ashby-Relativity.htm
> http://leapsecond.com/history/1978-PTTI-v9-NTS-2.pdf
> 
> /tvb
> 
> ----- Original Message ----- 
> From: "Peter Reilley" <[email protected]>
> To: "Discussion of precise time and frequency measurement" 
> <[email protected]>
> Sent: Friday, May 20, 2016 8:24 AM
> Subject: Re: [time-nuts] GENIUS by Stephen Hawking (PBS TV), with 5071A 
> cesium clocks
> 
> 
>> I have a question.   I, of small brain, am wondering: if the time 
>> difference between the
>> top of the mountain and the bottom of the mountain is 20 nS over 24 
>> hours could you
>> repeat the same experiment using GPS?    The time difference of 20 nS is 
>> measurable
>> using GPS.
>> 
>> The GPS clock must run faster on the mountain top than the GPS at the 
>> mountain
>> base and yet the two remain synchronized to the satellite reference.   
>> Therefore
>> the GPS 1 PPS signal (measurable to a few nS) must be wrong in in one of 
>> the local
>> frame references.
>> 
>> My brain hurts.
>> 
>> Pete.
>> 
> 
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