•
To prisms
•
To reflector tape
•
Reflectorless measurements
Corrections are applied on the instrument display and to all exported formats
in the same way.
c
a
b
TS_110
a
Mean Sea Level
b
Instrument
c
Reflector
Slope distance
Horizontal distance
Height difference
The instrument calculates the slope distance, horizontal distance, height dif-
ference in accordance with the following formulas:
002425_002
= D0 · ( 1 + ppm · 10
-6
) + AC
Displayed slope distance [m]
D
0
Uncorrected distance [m]
ppm Atmospheric scale correction [mm/km]
AC
Additive constant of the reflector [m]
TS_112
= Y - A · X · Y
TS_113
= X + B · Y
2
Horizontal distance [m]
Height difference [m]
Y
* |sin
z
|
X
* cos
z
z
Vertical circle reading
A
(1 - k / 2) / R = 1.47 * 10
-7
[m
-1
]
B
(1 - k) / (2 * R) = 6.83 * 10
-8
[m
-1
]
k
0.13 (mean refraction coefficient)
R
6.378 * 10
6
m (radius of the earth)
Earth curvature (1/R) and mean refraction coefficient (k) are automatically
taken into account when calculating the horizontal distance and height differ-
ence. The calculated horizontal distance relates to the station height and not
to the reflector height.
Slope distance -
corrections
Formulas
Technical Data
55