Hi,

While we are chatting about how GPS works and its accuracy, I would like add a 
few interesting tidbits.   

A good part of the accuracy come from taking Einstein's Relativity into 
account.  Special Relativistic effects like properly calculating doppler shifts 
and relative motion are important, but also General Relativistic effects need 
to be applied.   For example, Special Relativity states that moving clocks run 
slower, but General Relativity states that clocks run slower in a gravitational 
field.   Satellites are moving fast compared to someone on Earth so this makes 
their clocks to run slower.  But satellites feel less of the earth's gravity so 
our Earth-bound clocks run slower.  Since a satellite speed, while fast to us 
is slow relative to the speed of light,  our Earthly clocks end up running 
slower than clocks on GPS satellites (~50 microseconds/day which amounts to 
about a 7 nautical mile spread!).  Also, light (i.e. GPS signals) do not travel 
in a straight path as one assumes in triangulating a "fix".  Rather matter 
curves space around it, so GPS signals actually bend (i.e. gravitational 
lensing).  The latter effect, which is tiny compared to the former, was 
actually proved using a sextant of sort, by measuring a star's position during 
a solar eclipse in 1919.

While these effects are ordinarily insignificant for life on Earth, they are 
important on the scale of GPS accuracy.    I am sure that Einstein did not have 
GPS in mind when he wrote down the theory of Relativity, but I'll still thank 
him nonetheless.


-
Paul E.
1979 C&C 29 Mk1
S/V Johanna Rose
Carrabelle, FL

On Jan 29, 2013, at 8:44 AM, cnc-list-requ...@cnc-list.com wrote:

> Message: 5
> Date: Tue, 29 Jan 2013 05:55:03 +0000
> From: "Brent Driedger" <bren...@highspeedcrow.ca>
> To: "Leslie Paal" <lpaalc...@yahoo.com>, cnc-list@cnc-list.com
> Subject: Re: Stus-List More on GPS accuracy
> Message-ID:
>       
> <499177535-1359438905-cardhu_decombobulator_blackberry.rim.net-1984730907-@b17.c8.bise6.blackberry>
>       
> Content-Type: text/plain; charset="Windows-1252"
> 
> I'm enjoying this in depth GPS education.
> I recall some scuttlebutt in Sail magazine a year or two ago warning that 
> most of the birds in the system were approaching their "best before date" of 
> over 25 years and without getting immediate replacement the system would be 
> down a few leaving some holes or temporary signal loss in some locations in 
> the coming years. Have you heard any updates to this rumor?
> 
> Brent Driedger
> s/v Wild Rover
> C&C 27-5
> Sent from my BlackBerry? smartphone on the MTS High Speed Mobility Network
> 
> -----Original Message-----
> From: Leslie Paal <lpaalc...@yahoo.com>
> Sender: "CnC-List" <cnc-list-boun...@cnc-list.com>
> Date: Mon, 28 Jan 2013 12:04:01 
> To: cnc-list@cnc-list.com<cnc-list@cnc-list.com>
> Reply-To: Leslie Paal <lpaalc...@yahoo.com>, cnc-list@cnc-list.com
> Subject: Stus-List More on GPS accuracy
> 
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