Reduction Formulas 7.9
Measurements

Reflector types
The reduction formulas are valid for measurements to all reflector types:
• measurements to prisms and reflector tape.
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 Refraction page in Main Menu: Config...\Instrument Settings...\TPS Corrections) 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.
Distance measuring program Averaging
In the distance measuring program Averaging, the following values are displayed:
D Slope distance as arithmetic mean of all measurements
s Standard deviation of a single measurement
n Number of measurements
These values are calculated as follows:
The standard deviation of the arithmetic mean of the distance can be calculated
as follows: