1. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 1 Design, Manufacture, Transport and Integration on-site in Chile of ALMA Antennas ERROR ANALYSIS AND ERROR BUDGET PM#03- 05-06 April 2006

2. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 2 DATA FLUXES – STEP 1: Pre processing FEM Analysis Best Fit Procedure Main Reflector Sub Reflector Main Reflector Sub Reflector Receiver Origin of RCS Tiltmeters Other nodes RMS Surface Accuracy Roto -Traslations Metrology Nodes Optical Nodes

3. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 3 CODEV ray tracing (Centroid analysis) Evaluation Error Pointing Error Residual Delay Metrology Nodes Optical Nodes Errors estimate Error Budget DATA FLUXES – STEP 2: Data analysis Pointing Error Residual Delay + - METYes/No

4. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 4 FOV origin (Pointing Error = 0) Centroid position (Pointing Error ≠ 0) OPL @ Centroid (Residual Delay ≠ 0) How CODEV analysis is performed ? Diffraction Image (Optical PSF)

5. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 5 CODEV ray tracing DATA FLUXES – Example – Wind case #1 FEM Analysis Roto -Traslations Optical Nodes Error Budget