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Mathematical background on errors
The picture of the light patches has been made in the following way:
x=x0 + h * ctg(altsun) * sin(azipas-azisun)
y=y0 + h * ctg(altsun) * cos(azipas-azisun)
Met:
-
x0
X-location at of a point in the top hole (
x0
= 20 [mm])
-
y0
Y-location at of a point in the top hole (y0
= 20 [mm])
-
x
X-location at the top plane of the basin
-
y
Y-location at the top plane of the basin
-
h
Height between top hole and top plane of basin (h
= 100 [mm])
-
azipas
Main azimuth of the passage (azipas
= 0.02 [rad])
-
azisun
Azimuth of the sun (azisun
= 0.002 [rad])
-
altsun
Altitude of the sun (altsun
= 0.002 [rad])
The errors in x and y are thus:
x=SQRT(|x0|^2 +
+ |h * ctg(altsun) * sin(azipas-azisun)|^2 +
+ |altsun * h * sin(azipas-azisun) / sin2(altsun)|^2 +
+ |(azipas + azisun) * h * cos(azipas-azisun) * ctg(altsun)|^2)
y=SQRT(|y0|^2 +
+ |h * ctg(altsun) * cos(azipas-azisun)|^2 +
+ |altsun * h * cos(azipas-azisun) / sin2(altsun)|^2 +
+ |(azipas + azisun) * h * sin(azipas-azisun) * ctg(altsun)|^2)
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Major content related changes: December 31, 1996