John,

In addition to surveying errors of refraction (curved path) errors, there are 
"group speed" (packet, or group pulse speed) errors.  These errors illustrate 
the difference between high "precision" (small random errors) and high 
"accuracy" (small absolute errors).  A laser theodolite can be "precise" (small 
random errors of the "same" observation, but not very accurate (large 
systematic errors of the falsely assumed straight-line path ) much larger than 
2 ppm.

To continue your play on a mole hill, my fathre taught physics, chemistry, and 
biology (at the high school level), my mothre taught English (American 
standard), and my brothre taught mathematics (at the college level).  I nevre 
had a sistre, but I do have a daughtre, and a granddaughtre.

Gene. 

---- Original message ----
>Date: Sun, 30 Jan 2011 14:00:50 -0800 (PST)
>From: "John M. Steele" <[email protected]>  
>Subject: [USMA:49700] Re: [SI] A mole hill into Himalaya  
>To: "U.S. Metric Association" <[email protected]>
>
>   I did further checking, including looking at Leica
>   specs.  Those numbers like 1.5 mm + 2 mm/km are not
>   worst case specs, they are standard deviations. 
>   Statistically, we know there is reasonable chance of
>   individual measurements having errors out to 2 or 3
>   standard deviations, rarely even more.
> ...   

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