Leica TS01 User Manual page 101

Slope distance -
corrections
Formulas
Technical Data
To prisms
•
To reflector tape
•
Reflectorless measurements
•
Available formats depend on the instrument.
Format
Instrument display
•
ASCII
•
b
a
TS_110
The instrument calculates the slope distance, horizontal distance, height dif-
ference in accordance with the following formulas:
= D 0 · ( 1 + ppm · 10
002425_002
Displayed slope distance [m]
D Uncorrected distance [m]
0
ppm Atmospheric scale correction [mm/km]
AC Additive constant of the reflector [m]
= Y - A · X · Y
TS_112
2
= X + B · Y
TS_113
Horizontal distance [m]
Height difference [m]
Y * |sinz|
X * cosz
Vertical circle reading
z
A
(1 - k / 2) / R = 1.47 * 10
B
(1 - k) / (2 * R) = 6.83 * 10
k 0.13 (mean refraction coefficient)
R
6
6.378 * 10 m (radius of the earth)
Description
Corrections for the atmospheric
•
ppm are applied to the slope
distances according to the for-
mulas.
c
a
b
c
-6
) + AC
-7 -1
[m ]
-8 -1
[m ]
Mean Sea Level
Instrument
Reflector
Slope distance
Horizontal distance
Height difference
101