1/4 — 2/3 B). Had there been no correlation between the errors in the two
points which form a distance, then the 0 d Would have been equal to
v/ 2.0 ,, thus 17.5 microns.
For extremely short distances (where d 7 0), 0 q Will only include
the effect of the setting errors of the two points, because in that case the
instrumental errors and photo errors in both points are practically identical,
and thus od = /2.(0 e setting: In the Reichenbach Experiment it was
found — from repeated settings — that ( 0 e = 4 microns, and hence
setting
0 d £ 6 microns.
We therefore have, for the Reichenbach experiment, the following
relation between errors in distances and the distances themselves.
Shorter distances have significantly smaller errors than longer distances,
thanks to the high positive correlation in the stereo model. This is, however,
only true for distances with end points in the same stereo model. In the
Reichenbach experiment it was found that short, as well as long distances,
with end points in different stereo models, had a standard deviation of the
order of 17.5 microns. This is as large as one would expect for errors in
very long distances with end points in the same model. Obviously this is
caused by the effect of different instrumental errors and different photo
errors in the two end points situated in different stereo models, and by the
unavoidable closing errors in fitting each model to its ground control points.
Vo
T |
%B NB
figure 1