Dipole Stability Comparison WP08 / WP09

1. Dipole StabilityComparison WP08 / WP09 Natalia Emelianenko

2. Objective Verify the dipole stability over time. How does the movement of D points triangle between the measurements at WP08 and WP09 depend on the time interval between the two measurements ?

3. Data for the Analysis Table CRYOGEO_D_POINTS – steps from WP09. We take the last measurement at WP09: select * from CRYOGEO_D_POINTS A where not exists (select 1 from CRYOGEO_D_POINTS where magnet_nu = A.magnet_nu and step > A.step)

4. Reference Measurement at WP08 In the table CRYOGEO_D_POINT for each measurement the reference measurement at WP08 is given: MEAS_ID, REFERENCE_MEAS There are 2 records for each measurement: MEAS = 'end carto‘–result from WP09 MEAS = 'fidu‘– result from WP08

5. D Points Triangle: Move and Rotation Move by X and Z can be found from the equations: x = a + x` cos φ - y` sin φ y = b + x` sin φ + y` cos φ Rotation: φ = arctg (z10’ - z9’) / (x10’– x9’)– arctg (z10 - z9) / (x10– x9) z D11 D10` b φ a x D9 D10

6. Move by X: All Firms Both Sides

7. X Move Distribution: All Values

8. Move by X: All Firms

9. Movement by X, All Firms, All Steps

10. Move by Z: All Firms Both Sides

11. Move by Z: All Firms

12. Rotation: All Firms Both Sides

13. Rotation: All Firms

14. Correlation Between Sides Movement by X Rotation Movement by Z Correlation coefficients: X 0.36 Z 0.18 Angle 0.42

15. Average Movement by X over 50 Days Period: Both Sides

16. Average Movement by Z over 50 Days Period: Both Sides

17. Average Rotation over 50 Days Period: Both Sides

18. X, Other Periods, Both Sides

19. Sides Plotted Separately Average dX over 50 days

20. X Move, Connection Side, Periods

21. Middle Point Movement by X and Z D11 D10 D9

22. Summary on All Firms, All Steps, Both Sides X Move Z Move Rotation connection side lyre side

23. X Move: Steps Last step – WP09-WELD connection side lyre side Last step – WP09B-WELD

24. To Be Continued… If needed