Leica FlexLine plus - Reduction Formulas

FlexLine plus, Technical Data
178
17.8 Reduction Formulas
Formulas
The instrument calculates the slope distance, horizontal distance, and height differ-
ence in accordance with the following formulas. Earth curvature (1/R) and mean
refraction coefficient (k = 0.13) are automatically taken into account when calculating
the horizontal distance and height difference. The calculated horizontal distance
relates to the station height and not to the reflector height.
Slope distance
Horizontal distance
Height difference
a Mean Sea Level
b Instrument
cReflector
Slope distance
Horizontal distance
Height difference
Displayed slope distance [m]
D0 Uncorrected distance [m]
ppmAtmospheric scale correction [mm/km]
mm prism constant [mm]
Horizontal distance [m]
Y * sinζ
X * cosζ
ζ = Vertical circle reading
A (1 - k/2)/R = 1.47 * 10
-7
[m
-1
]
k = 0.13 (mean refraction coefficient)
R = 6.378 * 10
6
m (radius of the earth)
Height difference [m]
Y * sinζ
X * cosζ
ζ = Vertical circle reading
B (1 - k)/2R = 6.83 * 10
-8
[m
-1
]
k = 0.13 (mean refraction coefficient)
R = 6.378 * 10
6
m (radius of the earth)
TSOX_126
c
a
b
TSOX_127
= D
0
· ( 1 + ppm · 10
-6
) + mm
TSOX_128
= Y - A · X · Y
TSOX_129
= X + B · Y
2