1. Status of Transfer Line Reconstruction University of Wisconsin-Madison
James N. Bellinger
University of Wisconsin-Madison
26-Feb-2010
James N. Bellinger 26-February-2010

2. Hand Calculations For each Transfer Line
For each plane (radial or tangent)
2 lasers (slope and intercept)
8 (or 12) DCOPS averaged peak positions
If 2 CCDs, average, if 1 use that value
Ignoring laser tilts
Fit for 2 slopes and 2 intercepts
Fit for 6 (or 10) offsets
One of the 12 fits fails

3. Endcap-only vs “Full” Fits
Fit values for the offsets same with either fit to < 10μ for Transfer Line 1
“Full” is better for Transfer Lines when far end peaks are poor
I use “Full” (w/ MABs) throughout
ME4 stations fixed to offset=0
Disks not part of this
Simple chi-squared calculation w/ 14 unks

4. Contributions to offsets
Disk shifts in CMS_x and CMS_y
Disk rotations about CMS_z
Variation in transfer plate mounting + + + +
Disk shift + +
James N. Bellinger 19-Feb-2010

5. Given Offsets, Calculate an estimate for the disk shifts
Calculate an estimate for the disk rotations
Use the above to estimate the residuals
Should be an estimate of mounting variation
James N. Bellinger 26-Feb-2010

6. Estimates for disk parameters (2009)
Station
CMS_x (mm)
CMS_y (mm)
Rot_z (mrad)
ME+3
-.62
-0.36
-0.90
ME+2
0.05
-0.50
-0.75
ME+1
0.02
-1.37
-0.56
ME-1
-0.63
-1.24
-.40
ME-2
-0.53
-1.12
0.80
ME-3
-0.30
-1.36
0.90
+.67
-.14
+.15
+.23
-.24
+.10
James N. Bellinger 26-Feb-2010

7. ME2 and ME3 rotations
Because I fix the ME4 positions as ideal, other positions are only
relative. ME2 and ME3 can reconstruct different shifts/rotations
ME4 rotation
Different distances:
different rotations for ME3 and ME2
James N. Bellinger 26-Feb-2010

8. Resulting Residuals (2009)
Station 1H 1V 2H 2V 3H 3V 4H 4V 5H 5V 6H 6V
ME+3
1.16
2.86
-0.50
0.59
-3.05
-0.02
0.29
-1.38
2.10
-0.70 X
ME+2
0.50
4.14
-0.47
1.10
-4.04
-1.72
1.40
-0.56
2.61
-0.13
ME+1
-0.85
3.62
-0.24
-1.59
-4.91
-3.68
2.83
-1.58
3.16
-1.89
ME-1
-1.18
2.96
0.24
-1.48
-2.29
-2.02
1.60
-.43
-1.64
-.81
ME-2
-0.76
2.99
-0.26
0.90
-0.37
-0.64
0.77
1.51
0.62
2.33
ME-3
-1.21
0.96
0.68
-1.45
-0.35
-0.98
0.71
-0.75
0.17
1.26
James N. Bellinger 26-Feb-2010

9. Dave's Transfer Plate Shifts
ME+3
0.6
-0.41
0.25
1.99
0.15
1.07
0.66
0.46
-0.45
1.78
1.21
0.64
ME+2
-0.87
-0.47
-0.28
1.26
0.43
0.85
-1.5
-0.59
-0.56
-0.48
1.09
0.04
ME+1
-0.12
0.18
0.96
1.69
-0.08
0.99
-0.88
-0.3
1.62
1.2
0.84
ME-1
-0.09
1.13
-0.86
0.51
-1.34
0.1
-1.71
-0.79
1.4
1.37
ME-2
-0.21
4.16
-0.69
1.85
-0.32
-0.65
1.66
0.32
-0.51
0.12
3.59
0.75
ME-3
-1.33
0.68
-2.12 1
-4.62
-0.61
-0.07
-0.72
0.65
-0.64
-1.25
James N. Bellinger 26-Feb-2010

10. My Transfer Plate Shifts1V 2H 2V 3H 3V 4H 4V 5H 5V 6H 6V
ME+3
1.21
0.37
0.32
2.06
0.16
2.79
0.7
0.4
-0.31
0.24
-2.07
0.05
ME+2
-0.41
0.2
0.17
1.16
0.38
-0.16
-1.41
-0.72
-0.62
-0.53
-0.47
-1.3
ME+1
-2.12
0.82
1.25
1.89
0.59
0.35
-0.66
1.59
-0.28
-3.54
-1.62
-0.48
ME-1
-0.33
1.72
0.76
3.02
-2.36
-4.19
-0.57
-0.51
ME-2
0.34
3.67
0.54
1.62
0.93
0.53
-1.9
0.49
0.29
-0.56
-0.78
-3.8
ME-3
1.49
1.08
2.04
-0.18
0.95
5.2
-0.93
-1.05
-0.2
1.24
James N. Bellinger 26-Feb-2010

11. I don't see close agreement
I need a better model of the offsets
The average of PG horizontal offsets can mimic a rotation of up to .2mrad
Better model may not address the problem
PG per disk ought to be pretty good
Transfer line fit ought to be better
Cocoa fits vary much more
James N. Bellinger 26-Feb-2010

12. Next few days Give Himali good Minus Endcap fits for Feb
Still some descrepancies
Insert photogrammetry offsets for the Transfer Plates and for the disk centers
Revisit PG

13. BACKUP

14. Transfer Line 1, Horizontal Plane
Blue points are data
Black points are data
plus fit DCOPS offset
Lines are fit to lasers
Horizontal = tangent
to the disk
Vertical = radial to the
disk
Peak position (mm)
Fit for offsets
as well as laser line
Z of station (mm)

15. Contributions to Offsets
Combination of the effects of:
DCOPS mounting on transfer plate (small: ignored)
Transfer plate mounting on disk O(1mm)
Disk positioning in X/Y O(1mm)
Disk rotations about Z O(5mm)
The ME+4 and ME-4 offsets are fixed to 0
Not included here
Poor peaks

16. Horizontal (tangent) TL 1,2,3,4

17. Horizontal TL 5,6; Vertical TL 1,2

18. Vertical (radial) TL 3,4,5,6