Mark,
The distance accuracy in this case is the same as the position accuracy. Leica (they make our GPS rig) advertises positional accuracy as +/-5mm +/- 5/10,000,000 of the baseline, or distance between receivers.
Random errors tend to cancel each other out in repetative measurements so the error between two points, on the average,is expected to be the same as the positional accuracy.
Horizontal data is more precise than elevation data, due to the geometry of the triangles formed by the baseline/satellite. Longer triangles from horizon to horizon are formed than from surface to orbit.
Once the receiver has been set up for a while, it becomes a known point because of the number of samples it has averaged. Doing base mapping, we may let the units sit for half a day just logging data. Setting up on a known point eliminates the wait.
There's a huge amount of work crunching the numbers after collecting the data. GPS fixes your position relative to the earth's center of gravity. This needs to be translated into ground coordinates using the "ellipsoidal height" of the earth at that point. If you thought spherical geometry was hairy....
GPS is very accurate, and repeatable. In the hands of a qualified field crew there's few better locating systems. And none that can perform over such a wide area. Our work involved locating every manhole/valve/fire hydrant etc. in Augusta County, involving hundreds of thousands of points. We will commonly go back to things like a water meter to use as a benchmark. One shot is as good as the rest. We were recently called up to locate a water valve that had been paved over. Because of the huge number of metal objects in the pavement, a metal locator was useless. GPS, right on the spot.
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Any sufficiently advanced technology is indiscernible from majic
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