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Verify dipole stability over time by analyzing D points triangle movement. Explore how movement depends on time intervals between measurements at WP08 and WP09. Data analysis includes reference measurements and equations for movement and rotation. Correlation coefficients and average movements over 50 days are calculated for both sides. Connection sides and periods are plotted separately to provide a comprehensive analysis.
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Dipole StabilityComparison WP08 / WP09 Natalia Emelianenko
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 ?
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)
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
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
Correlation Between Sides Movement by X Rotation Movement by Z Correlation coefficients: X 0.36 Z 0.18 Angle 0.42
Sides Plotted Separately Average dX over 50 days
Middle Point Movement by X and Z D11 D10 D9
Summary on All Firms, All Steps, Both Sides X Move Z Move Rotation connection side lyre side
X Move: Steps Last step – WP09-WELD connection side lyre side Last step – WP09B-WELD
To Be Continued… If needed