1. Transfer Line Calculations
9-March-2009
and following

2. Input 24 DCOPS, with 2 (averaged) values per
PG positions of the DCOPS wrt their disk centers
Ideal SLM directions
Ideal Z positions of DCOPS

3. Verify
DCOPS PG Z on ME+2/3 agree with ideal Z differences

4. Unknowns 3 disks (x,y) and RZ  9 unknowns
6 lasers (sx,sy)  12 unknowns
24 dV (?)  24 unknowns at 3.8T (0 at 0)

5. Location Define ideal transformation From Cocoa:
CMS = OffSLM + RotSLM*(OffXfer+RotXFer*XFerPos)
My local coordinate system:
XFerPos = OffJNB+RotJNB*DCPos
RotSLM=Rz(θz) Ry(θy) Rx(θx)

6. Stations ME+1 and ME+2 face the same direction

7. ME+1 SLM transforms to CMSX Y Z Rx Ry Rz
HSLM1
6782
-90 15
HSLM2 75
HSLM3
135
HSLM4
195
HSLM5
255
HSLM6
315

8. ME+1 TP transforms to SLMX Y Z Rx Ry Rz
PT1
-48
22.5
-90
PT2
PT3
PT4
PT5
PT6

9. ME+2 SLM transforms to CMSX Y Z Rx Ry Rz
SLM1
7998
-90 15
SLM2 75
SLM3
135

10. ME+2 TP transforms to SLMX Y Z Rx Ry Rz
TP1/S1
-48
-22.5 90
TP4/S1
22.5
-90
TP2/S2
TP5/S2
TP3/S3
TP6/S3

11. ME+3/4 SLM transforms to CMSX Y Z Rx Ry Rz
SLM1
9642/
10537 90 15
SLM2 75
SLM3
135

12. ME+3/4 TP transforms to SLMX Y Z Rx Ry Rz
TP1/S1
-48
22.5
-90
TP4/S1
-22.5 90
TP2/S2
TP5/S2
TP3/S3
TP6/S3

13. Local DCOPS/XFER coordinate
X = rφ, phi in x y direction
Y = R, radial
Z “into page” using right hand rule
X=Y=0 = center of DCOPS in ideal system
Z=0 = position of Ref DCOPS dowel

14. Nomenclature (Z always ideal)
(δx, δy) = shift in disk from ideal
(H,V) = center of DCOPS wrt ideal, PG
(ΔH, ΔV) = shift in local DCOPS center
(PH,PV) = Profile predictions
(0, dV) = cantilevered shift due to bending
Indexed by station or disk and by point #

15. XFer Plate details Ref DCOPS dowel pin is X,Z center of XFer
Ref DCOPS dowel is shimmed away from Y center of XFer

16. Transfer Plate Center X
Center Y

17. Transform Center to XFer
X (=H) Y
Z (=-V)
PT1
208.5
73.175
PT2
202.5
PT3
-157.5
PT4
-163.5
PT5
PT6
Rx= Ry=0 Rz=0

18. Disk and PT: DCOPS to CMS: B=0
C = XC + RC(XT+RT(XD+RD P)
C = XA + RA P
XA ≡ XC +RCXT+ RCRT XD
RA ≡ RCRTRT
Above are Ideal positions, XT from PG
Shifting (per disk) gives unknown (to be solved for):
C’ = XS + RS C
RS mostly rotation about Z

19. Complications w/ B=3.8 The disks bend
Bending is not the same at every PT
Cannot assume each disk bends the same amount
ME+2/ME+3 cantilever by the same angle in different directions
Disks have additional rotation about Y (actually about line near the floor)

20. Laser position/direction
Nominal position is same as center of ME+4 XFer DCOPS
Each PT has 2 laser slopes

21. DCOPS data Preprocess to include orientation, average both sides
Calibration (scale and offset) not included yet
Only 1 laser; only Plus Endcap