Adjustment of the 3 reference tables at building 180 AT960 measurement EDMS : 2160177 Adjustment of the 3 reference tables at building 180 AT960 measurement Measurement : 2019-05-15 The goal of these measurements is the levelling of the 3 reference tables which will support the cold mass in building 180. The measurement was done the 15th May 2019.

INTRODUCTION

Synoptic (building 180) 3 reference tables Network of reference points The picture below shows : the different fiducials of the 180 network The 3 reference tables which must be levelled 3 reference tables Network of reference points

Coordinate systems (for information) Different coordinate systems have been used during the measurement and for the report. R-instrument (AT960 gravity) This coordinate system is the coordinate system of the instrument. It’s linked to the gravity (Z axis). The orientation of axis X and Y are dependent on the zero of the horizontal circle of the instrument. R-building 180 This coordinate system has been created for this report. The primary axis is defined by the gravity defined by the AT960. The secondary axis is determined by 2 points of the network (p1, p4). The origin is p1. X (mm) Y (mm) Z (mm) Primary Axis : Z : AT960 gravity Secondary axis : Y : p1  p4 X (radial) : cross-product Origine : p1 R-180

During this measurement, there is no old data A priori data During this measurement, there is no old data

AT 960 measurements The measurement took place on 15th May 2019. Vivien RUDE (VR) and Leonard Watrelot (LW) conducted these measurements. Vivien Rude analysed the data.

AT960 measurement (details) 1 offset support Detail of the measurements Day of measurement : 15 May 2019 Place : 180/R-V33 Operator : VR, LW Material 1 Laser Tracker Leica AT960 +accessories (borrowed by Michel Parent) 1 CCR PLX 1.5 inches 1 offset support (3 mm in radial, 25 mm in vertical) 1 portable metrology tripod (Carbon) 1 computer with Spatial Analyser software Measurement mode Static mode (1 circle, 0.5 sec) for the reference points Dynamic mode for the levelling of the reference tables Prism constants No prism constants have been used A priori precision of the measurements A 4h warming-up of the laser tracker has be done. Dynamic measurement (empirical value) Angles : 1.25 arc second = 6.1 microradians = 3.5 cc Distances : 0.015 mm +/- 1.5 ppm Fast measurement  1 circle and 0.5 sec (empirical value) Angles : 1 arc second = 4.8 microradians = 2.8 cc Distances : 0.015 mm +/- 1 ppm Precise measurement  2 circles and 5 sec (empirical value) Angles : 0.75 arc second = 3.6 microradians = 2.1 cc Distances : 0.008 mm +/- 1 ppm Closing point ST 1 : 14 µm (at 2.8 m) Temperature [22.5°C – 23 °C]

AT960 measurement Station AT960 Support 3 Support 2 Support 1 AT960 The sketch below (print screen from the Spatial Analyser) indicates the position of the instrument during these measurements. Support 3 Support 2 Support 1 AT960 Support 3 Support 2 Support 1

AT960 measurement Reference table On each support, the levelling will be done on the inner ring of the support (Blue area on the below picture). An offset support has been used.

AT960 measurement Precision (R-180) X (mm) Y (mm) Z (mm) R-180 1.6 m The 180 coordinate frame was used in order to display the precision of the measurements for each point. The precision depends on the distance of the laser tracker, the measurement mode and the geometry of the different stations. For the Support 1, the 3D-precision is around 85 microns. For the Support 2, the 3D-precision is around 40 microns For the Support 3, the 3D-precision is around 22 microns 1.6 m 4.0 m 9.4 m Support 3 Support 2 Support 1 Ø=228 mm Ø=228 mm Ø=228 mm Precision at 1.6 m x (mm) y (mm) z (mm) Support 3 0.010 0.017 Precision at 4.0 m x (mm) y (mm) z (mm) Support 2 0.024 0.021 Precision at 9.4 m x (mm) y (mm) z (mm) Support 1 0.056 0.029

RESULTS

Plane Fitting and plane orientation (after adjustment) Details R-180 X (mm) Y (mm) Z (mm) Plane Fitting and plane orientation (after adjustment) Details R-180 The tables below describe the plane fitting done for each support after the adjustment of the 3 support. The adjustment has been done with the tools Watch window from Spatial Analyser. The flatness of each support is below 20 µm (r.m.s.) and the plane orientation of each support with respect to the gravity is below 300 µrad. The plane orientation calculated with the 3 supports is below 60 µrad with respect to the AT960 gravity. Support 3 Support 2 Support 1 Support 1+2+3 Fitting result Fitting Plane Z-Offset 25 mm Nb point 42 points Removed points 2 points Flatness RMS 0.022 mm Normal vector A (Rx) = 0.000066 B (Ry) = -0.000005 C = 1.000000 Min Z -807.758 mm Max Z -807.626 mm Mean Z -807.688 mm Support 3 Fitting result Precision Sigma à priori 0.010 mm Fitting Plane Z-Offset 25 mm Nb point 41 points Removed points --- Flatness RMS FUV FUV = 1.01 Normal vector A (Rx) = 0.000046 +/- 0.000019 B (Ry) = 0.000091 C = 1.000000 Min Z -807.673 mm Max Z -807.626 mm Mean Z -807.653 mm Support 2 Fitting result Precision Sigma à priori 0.024 mm Fitting Plane Z-Offset 25 mm Nb point 39 points Removed points 1 point Flatness RMS 0.018 mm FUV FUV = 0.58 Normal vector A (Rx) = 0.000168 +/- 0.000050 B (Ry) = 0.000086 C = 1.000000 Min Z -807.758 mm Max Z -807.671 mm Mean Z -807.702 mm Support 1 Fitting result Precision Sigma à priori 0.056 mm Fitting Plane Z-Offset 25 mm Nb point 42 points Removed points 1 point Flatness RMS 0.016 mm FUV FUV = 0.09 Normal vector A (Rx) = -0.000039 +/-0.000114 B (Ry) = -0.000254 C = 1.000000 Min Z -807.756 mm Max Z -807.656 mm Mean Z -807.710 mm

Z values Support 3 Support 1 Support 2 Z (min-max) = 0.132 mm The graphic below represents the Z value of the measured points (with a shift of 25 mm in vertical in order to canceled the offset support) after the adjustment. All the Z values of the 3 supports are identical at 132 µm. Support 3 Support 1 Support 2 Z (min-max) = 0.132 mm

Z values X (mm) Y (mm) Z (mm) R-180 Support 3 Support 2 Support 1 The graphic below represents for each support the Z value of the measured points (with a shift of 25 mm in vertical in order to canceled the offset support) after the adjustment. R-180 Support 3 Support 2 Support 1 Support 3 Min Z -807.673 mm Max Z -807.626 mm Mean Z -807.653 mm Support 2 Min Z -807.758 mm Max Z -807.671 mm Mean Z -807.702 mm Support 1 Min Z -807.756 mm Max Z -807.656 mm Mean Z -807.710 mm Z (min-max) = 0.047 mm Z (min-max) = 0.087 mm Z (min-max) = 0.100 mm

CONCLUSION The goal of these measurements was the levelling of the 3 reference tables which will support the cold mass in building 180. The flatness of each support is below 20 µm (r.m.s.) and the plane orientation of each support with respect to the gravity is below 300 µrad. The plane orientation calculated with the 3 supports is below 60 µrad with respect to the AT960 gravity. All the Z values of the 3 supports are identical at 132 µm.