GPT-3000 SERIES - FLT Geosystems

APPENDIX1 Dual Axis CompensationInclination of the vertical axis with respect to true vertical will result in incorrectly measured horizontalangles. The extent of the error in horizontal angle measurement due to axis tilt depends on threefactors :●●●the amount of the tilt of axisthe elevation of the targetthe horizontal angle between the direction of till of the vertical axis and the target.These factors are related by the following formula :Hz err = V•sinα • tanhwhere v = tilt of axis in arcsecondsα = azimuth angle between vert. axis direction and targeth = elevation of targetHz err = error in horizontal angleExample: When the vertical axis is tilted by 30 arcseconds, the target is 10° above the horizon androtated 90 in azimuth from the direction of the vertical axis error.Hz err = 30" • sinα • tan10°Hz err = 30" • 1 • 0 .176326=5.29"From the above example it can be seen that horizontal angle errors will increase with steeper verticalsights (tangent will increase as vertical angle increases) and will be at a maximum when the target is atright angles (sin 90°=1) to the direction of the vertical axis error. Errors will be at a minimum when thesights are nearly horizontal (h=0, tan0=0) and in the same direction as the vertical axis error ( α =0,sin0=0). Please refer to the table below to see the relationship between axis tilt (v) and elevation (h) andthe error in horizontal angles which results from these factors.Vh0° 1° 5° 10° 30° 45°0" 0" 0" 0" 0" 0" 0"5" 0" 0.09" 0.44" 0.88" 2.89" 5"10" 0" 0.17" 0.87" 1.76" 5.77" 10"15 0" 0.26" 1.31" 2.64" 8.66" 15"30" 0" 0.52" 2.62" 5.29" 17.32" 30"1' 0" 1.05" 5.25" 10.58" 34.64" 1'APPENDIX-1