STAR*NET V6 - Circe
STAR*NET V6 - Circe
STAR*NET V6 - Circe
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Appendix C Additional Technical Information<br />
C.4 Instrument and Target Centering Errors<br />
Centering Error values entered in the Instrument Options, cause standard errors for<br />
turned angles, distances, directions, delta elevations, and zenith angles to be inflated.<br />
In all following formulas:<br />
I = Horizontal Instrument Centering Error<br />
T = Horizontal Target Centering Error<br />
V = Vertical Centering Error at Instrument and at Target<br />
As described below, the standard error of horizontal turned angles, directions, azimuths<br />
and horizontal distances are affected only by horizontal centering. The standard error of<br />
delta elevations are affected only by vertical centering.<br />
Horizontal Turned Angles: The standard error contribution for an angle due to the<br />
horizontal centering error of the instrument is equal to:<br />
Inst StdErr = d3/(d1*d2) * I<br />
Where: d1 and d2 are the horizontal distances to the targets<br />
d3 is the horizontal distance between the two targets<br />
The standard error contribution for an angle due to the horizontal centering error of both<br />
targets is equal to the following:<br />
Target StdErr (Both) = Sqrt(d1 2 +d2 2 ) / (d1*d2) * T<br />
Combining the entered standard error for an angle with the standard error contributons<br />
from the instrument and target centering, we get the total standard error for an angle:<br />
Total Angle Std Err = Sqrt( AngStdErr 2 + InstStdErr 2 + TargetStdErr 2 )<br />
Directions: Total standard error, where “d” is the horizontal distance, is equal to:<br />
Total Dir StdErr = Sqrt( DirStdErr 2 + I 2 /d 2 + T 2 / d 2 )<br />
Where: d is the horizontal distance to the target<br />
Azimuths: Same as directions, but using azimuth standard error the in the formula.<br />
Horizontal Distances: Total standard error is equal to:<br />
Total Dist StdErr = Sqrt( DistStdErr 2 + I 2 + T 2 )<br />
Delta Elevations: Total standard error is equal to:<br />
Total DeltaElev StdErr = Sqrt( DeltaElevStdErr 2 + V 2 + V 2 )<br />
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