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K. Mishima, IWAA2006, SLACK. Mishima, IWAA2006, SLAC 11
Survey and Alignmentof
J-PARC
K. Mishima , PASCO CorporationK. Mishima , PASCO CorporationN. Tani , Japan Atomic EnergyN. Tani , Japan Atomic Energy
Research InstituteResearch InstituteM. Sirakata, KEKM. Sirakata, KEK
K. Mishima, IWAA2006, SLACK. Mishima, IWAA2006, SLAC 22
High Intensity Proton Accelerator Facility
K. Mishima , PASCO CorporationK. Mishima , PASCO CorporationN. Tani , Japan Atomic EnergyN. Tani , Japan Atomic Energy
Research InstituteResearch Institute
Japan Proton AcceleratorResearch Complex
J-PARC
K. Mishima, IWAA2006, SLACK. Mishima, IWAA2006, SLAC 33
Geodetic Survey of J-PARC from 2002 to 2003
has already been reported with IWAA2004 at CERN.
This report is the continuation, and the report
from 2004 to the last week.
K. Mishima, IWAA2006, SLAC 4
J-PARC is constructed along seaside, and constructed at sandy area.
It’s difficult to countermeasure against uneven settlement.
K. Mishima, IWAA2006, SLAC 5
310 m
3GeV SynchrotronCircumference : 330 m
50GeV SynchrotronCircumference : 1540 m
1000 m
500
m
Linac
J-PARC is the large accelerator facility. Therefore, the surveying in the TOKAI campus is considered the curvature of the earth.
Neutrino beam line
K. Mishima, IWAA2006, SLAC 6
J-PARC
Super-Kamiokande
300 km
Tokyo
Long Baseline Neutrino Oscillation Experiment from J-PARC to Kamioka
K. Mishima, IWAA2006, SLAC 7
MonumentNo.4
The Foundation was moved because of change in the load of soil and pile working under constructing.
Both Monument toward into the Trench
Accelerator Tunnels are Constructedby Open Cut Method
K. Mishima, IWAA2006, SLAC 8
Surface Network by GPS
Trilatelation by GPS
Sights between monuments could not
be surveyed each other by woods
because of under construction.
K. Mishima, IWAA2006, SLAC 9
Error Ellipse
Most Error Ellipses are within 2 mm
K. Mishima, IWAA2006, SLAC 10
Displacement Vectors
of Monuments from 2005 to 2006
(1) Tunneling works and building constructionswere closed to the last stage.
Therefore, the foundation was under huge load changing.
(2) The survey method has changed
from GPS to total station.
K. Mishima, IWAA2006, SLAC 11
Surface Network & Error Ellipse
Most Error Ellipses are
within 0.2 mm
The visibility for the surveying has extended.
Then the survey methodwas changed from GPS to TS.
These monuments will be stabilized to become the end of
tunneling and building construction.
K. Mishima, IWAA2006, SLAC 12
Surface Network had been tied to some accelerator tunnels through survey shafts
K. Mishima, IWAA2006, SLAC 13
K. Mishima, IWAA2006, SLAC 14
K. Mishima, IWAA2006, SLAC 15
Status of Alignment in J-PARCPhase 1 : Blue line Survey on accelerator FloorPhase 2 : Installing of Components in Accelerator TunnelsPhase 3 : Pre-alignment of ComponentsPhase 4 : Fine alignment of ComponentsPhase 5 : Smoothing
Linac
Neutrino Facility
Nuclear and Particle Experimental Hall
50GeV
Material & Life Science Facility
3GeV
Phase 4 & 5
Phase 2 & 3Phase 1, 2, & 3
Phase 1, 2, 3 & 4
Phase 1, 2, & 3
Under Construction
K. Mishima, IWAA2006, SLAC 16
The Effect of Curvature of the Earth for the Beam Height
• It is general that height of these components of accelerator is aligned along a horizontal plane.
• However, this straight line is parallel straight line to curvature of the earth.
• This line is not straight line for the beam.
K. Mishima, IWAA2006, SLAC 17R=
6370
km
R=6
370
km
T = Rcos
H = R - T
surface
tangent plane
H
T
l m
50100200300500
1000
0.200.793.157.08
19.6678.64
l [m] H [ mm ]
of curvaturefor height
Effects
The Effects of curvature for Height
The curvature of the earth affects for the Beam height.Therefore, the curvature of the earth must be considered
when components of the accelerator are aligned.
K. Mishima, IWAA2006, SLAC 18
赤道面子午面
子午面
子午線
R m
R m :子午線曲率半径
meridian_1_jp.eps
子午線Meridian
Meridian
Radius of Curvaturein Meridian
The radius of curvatures are Three types.
1. Radius of Curvature in Meridian
2. Radius of Curvature in Prime Vertical
3. Radius of Curvature in Vertical Cut
K. Mishima, IWAA2006, SLAC 19
(a) 卯酉面と曲率半径 ( b) 卯酉面を横から見る
Prime Vertical
Prime Vertical
Radius of Curvature in Prime Vertical
The radius of curvatures are Three types.1. Radius of Curvature in Meridian2. Radius of Curvature in Prime Vertical3. Radius of Curvature in Vertical Cut
K. Mishima, IWAA2006, SLAC 20
α
vR
αvR:方位角:垂直截線曲率半径
Z
X
Y
垂直截面回転軸
子午線垂直截線
vertical_cut_1_jp.eps
Vertical CutMeridian
Radius of Curvature in Vertical Cut
The radius of curvatures are Three types.1. Radius of Curvature in Meridian2. Radius of Curvature in Prime Vertical3. Radius of Curvature in Vertical Cut
K. Mishima, IWAA2006, SLAC 21
•These Radius of Curvatures are different according to latitude and longitude.
Therefore, it is necessary to set the tangential plane by the latitude and the longitude.
K. Mishima, IWAA2006, SLAC 22
: origin of the beam height
Base plane are set to 3 major accelerators
K. Mishima, IWAA2006, SLAC 23
K. Mishima, IWAA2006, SLAC 24
Relation of Each Base Plane
K. Mishima, IWAA2006, SLAC 25
( )φ λ
φ λ φ λ
φ
⎧⎪ =⎪⎪ =⎨⎪⎪ =⎪⎩
2
2
cos cos
, : cos sin
sin
x Q
S y Q
bz Qa
The position on the earth can be described as this equation in geocentric 3D coordinate by latitude ,
longitude and radius of curvature in prime vertical on the ellipsoid GRS80.
φ
λQ
K. Mishima, IWAA2006, SLAC 26
( )
φ λ φ λ φφ φ φ φ
φ λ φ λλ λ λ λ
⎛ ⎞∂ ∂ ∂ ∂ ⎛ ⎞= = − −⎜ ⎟ ⎜ ⎟∂ ∂ ∂ ∂ ⎝ ⎠⎝ ⎠
∂ ∂ ∂ ∂⎛ ⎞= = −⎜ ⎟∂ ∂ ∂ ∂⎝ ⎠
2
2, , sin cos , sin sin , cos
, , cos sin , cos cos , 0
S x y z bQ Q Qa
S x y z Q Q
The derivative of the previous equation with latitude and longitude gives their tangent line.
φ λ
K. Mishima, IWAA2006, SLAC 27
φ λ φ λ φλ φφ λ
φ φλ φ
⎛ ⎞∂ ∂× ⎜ ⎟∂ ∂ ⎝ ⎠= =
∂ ∂ ⎛ ⎞× +⎜ ⎟∂ ∂ ⎝ ⎠
2 2
2 2
222 2
2
cos cos , cos sin , sin( , )
cos sin
b bS Sa a
nS S b
a
Then the normal vector is described as following equation
K. Mishima, IWAA2006, SLAC 28
φ λ α β γ=0 0 0 0( , ) ( , , )n
0 0 0 0( , , )P x y z
α β γ− + − + − =0 0 0 0 0 0( ) ( ) ( )x x y y z z 0 .
The normal vector is substituted with
The equation of the base plane which contains the point on the surface of the earth is
Coordinates of fiducial points on components are calculated by its latitude and its longitude.
The correction value for the beam height is the distance from these coordinates to this base plane.
K. Mishima, IWAA2006, SLAC 29
0.00
0.50
1.00
1.50
2.00
2.50
3.00
0 11 21 31 43 52 61 71 81 91 102
112
122
130
141
151
162
170
180
190
200
210
221
231
242
254
261
272
282
292
302
311
317
328
339
348
360
368
380
388
398
409
415
423
The Distance from Ion Soruce [ m ]
Cor
rect
ion
Val
ue fo
r the
The
Bea
m H
eigh
t in
Lin
ac
[ m
m ]
卯酉線と子午線の曲率半径による補正基準平面までの距離
Arc Section
3GeV Injection PointThe Sction of North and South
∠⌠&Σχτιον οφ Νο ρτη ανδ Σουτ
The Correction with the Radius of Curvature in meridian and Prime VerticalDistance to Base Plane
The Ion Source and Injection Point at 3GeV Ring Should be equal Distances
It is right to correct by distances from components to base plane
The Section of North and SouthThe Section
of West and East
K. Mishima, IWAA2006, SLAC 30
0.00
2.00
4.00
6.00
8.00
10.00
12.00
14.00
0 16 31 41 46 52 57 63 68 74 79 84 91 96 101
106
116
132
148
157
162
168
174
179
184
190
195
200
207
213
218
223
233
248
264
273
278
284
290
296
301
306
311
317
323
329
334
339
345
363
381
403
423
441
464
488
509
526
548
570
590
610
629
648
669
689
709
729
748
767
The Distace from 3GeV Synchrotron Center [ m ]
Cor
rect
ion
Val
ue fo
r the
Bea
m H
eigh
t in
Lina
c &
3G
eV [
mm
]
3GeV Injection Point
Ion Source
3GeV Synchrotron Ring
Linac
Beam Stream
3GeV Injection Point
Distances from Linac & 3GeV Components to Base Plane at 3GeV Ring
12.5mm
It is Right to Have Set 3 Base Planes.
K. Mishima, IWAA2006, SLAC 31
0.00
1.00
2.00
3.00
4.00
5.00
6.00
0 36 71 94 121
154
177
214
237
270
297
324
357
380
417
440
473
500
522
558
594
616
643
676
699
736
759
793
819
846
879
902
939
962
996
1022
1045
1081
1116
1139
1165
1199
1222
1259
1282
1315
1342
1369
1402
1434
1470
1503
1526
1560
The Distance from Injection Point [ m ]
Cor
rect
ion
Val
ue f
or t
he B
eam
Hei
ght
in 5
0GeV
Syn
chro
tron
Rin
g
[mm
] 1st Arc Section
First Arc Section
2nd Arc Section 3rd Arc Section
2nd Arc Section
3rd Arc Section
1.25mm
Circumference:1540 m
Distance from 50GeV Components to Base Plane of 50GeV Ring
Straight Section is120m
Difference between Min. and Max. of These Distances is 1.25 mm, Though Circumference is 1540 m
K. Mishima, IWAA2006, SLAC 32
Thus, the method of correcting curvature of the earth to the beam height has been checked out.
But, uneven settlement is bigger than correction value.
Therefore, the way to correct is under discussion.
It will be used to refer for smoothing.
K. Mishima, IWAA2006, SLAC 33
To Be Continued to next IWAA
Start to Beam Commissioning :Linac ; The end of This Year3GeV ; The year of 200750GeV ; The year of 2008
Thank you