Tom Van Baak said:

"This note is just a plea not to apply the speed-of-light number or
the "nanosecond a foot" rule-of-thumb out of context."

It works reasonably well as a rule of thumb. It's an upper limit  but
if you wanted to refine it a bit, divide by two. The average value of
sin(x) on [0,pi/2] is 2/pi ie about 1/2.

This agrees quite well with the results of the post-processing I
described earlier.

Cheers
Michael


On Tue, Jun 28, 2016 at 8:49 AM, Tom Van Baak <[email protected]> wrote:
>> So to travel 22 meters is about .000,000,073 Seconds.  Or 73 nanoSecond.
>
> Hi Gary,
>
> I want to echo what Bob just wrote. People get carried away with "a 
> nanosecond is a foot" and think it applies 100% to GPS timing and position, 
> or in this case, elevation errors.
>
> Equating 22 m with 73 ns, or equating 1 foot with 1 ns is only true in the 
> impossibly rare case of one satellite directly above you. In reality, 1) most 
> of the time the SV are further down and so the error is reduced by 
> sin(angle). And, 2) the GPS timing solution is typically based on lots of 
> satellites, not just one, and so the effects of position error is further 
> reduced by the ensemble mean.
>
> An accurate position is desirable. No question about that. This note is just 
> a plea not to apply the speed-of-light number or the "nanosecond a foot" 
> rule-of-thumb out of context.
>
> /tvb
>
>
> ----- Original Message -----
> From: "Gary E. Miller" <[email protected]>
> To: "Mark Barettella via time-nuts" <[email protected]>
> Sent: Monday, June 27, 2016 12:31 AM
> Subject: Re: [time-nuts] Impact of GPS antenna height measurments
>
> Yo Mark!
>
> On Sun, 26 Jun 2016 09:02:55 -0400
> Mark Barettella via time-nuts <[email protected]> wrote:
>
>> I
>> estimate my antenna’s actual height at about +5 m high and the gps
>> indicates -17 m.
>
> Others have covered some obvious details.  Different ellipsoids,
> long term surveying, etc.
>
>> My question is will this adversely influence the
>> accuracy of the gpsdo output?
>
> Depends on how accurate you need.  I'll assume your estimate is perfect,
> which is that your GPS is reading off by 22 meters.
>
> The speed of light is  299,792 kilometers/second.
>
>
> All else being equal, does a constant 73 nanoSec matter to you?
>
> For comparision, a Trimble RES SMT 360 only promises 15 nanoSec (1 sigma).
>
> If all you want is a stable frequency from your gpsdo then the offset
> is not relevant.
>
> RGDS
> GARY
> ---------------------------------------------------------------------------
> Gary E. Miller Rellim 109 NW Wilmington Ave., Suite E, Bend, OR 97703
>  [email protected]  Tel:+1 541 382 8588
>
>
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