TS11/TS15, Technical Data
207
Formulas
The instrument calculates the slope distance, horizontal distance, height difference
in accordance with the following formulas:
Earth curvature (1/R) and mean refraction coefficient (k) (if enabled on the Refrac-
tion page in Main Menu: Config...\Instrument Settings...\TPS Corrections) are auto-
matically 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.
Displayed slope distance [m]
D
0
Uncorrected distance [m]
ppm Atmospheric scale correction [mm/km]
mm Additive constant of the reflector [mm]
Horizontal distance [m]
Height difference [m]
Y
* |sin
ζ
|
X
* cos
ζ
ζ
Vertical circle reading
A
(1 - k/2)/R = 1.47 * 10-7 [m-1]
B
(1 - k)/2R = 6.83 * 10-8 [m-1]
k
0.13 (mean refraction coefficient)
R
6.378 * 106 m (radius of the earth)
TS_111
= D0 · ( 1 + ppm · 10
-6
) + mm
TS_112
= Y - A · X · Y
TS_113
= X + B · Y
2
