STONEX R6 Series - Reduction Formulas

R6,Technical Data
110
14.8 ReductionFormulas
Formulas
Theinstrumentcalculatestheslopedistance,horizontaldistance,andheightdifference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
aMeanSeaLevel
bInstrument
cReflector
SD Slopedistance
HD Horizontaldistance
VD Heightdifference
SD Displayedslopedistance[m]
D0 Uncorrecteddistance[m]
ppmAtmosphericscalecorrection[mm/km]
mmprismconstant[mm]
HD Horizontaldistance[m]
YSD*sinζ
XSD*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)
VD Heightdifference[m]
YSD*sinζ
XSD*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)
c
a
b
SD
VD
HD
SD
= D
0
· ( 1 + ppm · 10
-6
) + mm
HD
= Y - A · X · Y
VD
= X + B · Y
2