150
Corrections/ formulas
Height differences
dH = height difference of all sights in relation to
back sight.
dh = height difference of two successive measured
points from the first measurement after the back
sight.
Example for a measure set of a station BF with inter-
mediate sightings Int1 and Int2: B - Int1 - Int2 - F.
dh1 = B - Int1
dh2 = Int1 - Int2
dh3 = Int2 - F
Earth curvature correction
E = x
2
/ (2R)
x = measured distance
R = 6'378'000m (earth radius)
Line-of-sight error
α
= arctan [(A1 - B1 + B2 - A2) / (d1 - d2 + d3 - d4)]
A1, B1, B2, A2 = staff height
d1, d2, d3, d4 = distances of the respective
staff heights.
Distance balances
D Bal =
Σ
D
B
-
Σ
D
F
D
B
=back sight distance
D
F
= fore sight distance
Total distance
D Tot =
Σ
D
B
+
Σ
D
F
Station distances
D Stat =
D
B
+ D
F
Station differences
StatDiff = (B1 - F1) - (B2 - F2)
B1, F1, B2, F2, = staff heights