2. Geodesy and the FCC Project
Mark Jones
10/06/2015
Geodesy & FCC Project, HEIG-VD 2015

3. Geodesy & FCC Project, HEIG-VD 2015
10/06/2015
Geodesy & FCC Project, HEIG-VD 2015

4. Geodesy & FCC Project, HEIG-VD 2015
CERN Reference System
A Reference System covering the whole of the CERN site
First version established at the start of the PS Ring construction at CERN
Defines the relative location all things at CERN
Sites
Buildings
Tunnels
Accelerators
Experiments
10/06/2015
Geodesy & FCC Project, HEIG-VD 2015

5. CERN Coordinate System
Époque SPS
Coordonnées P0, (X, Y, Z)
( , , )
Altitude P0 = m
Axe-Z = Vertical à P0
Radius Sphère, R = 6371km
On voit ici la différence en altitude entre les piliers dans l’anneau du PS et le pilier P0
Cette différence et égale à 0.79 mm, donc l’altitude de P0
10/06/2015
Geodesy & FCC Project, HEIG-VD 2015

6. Geodesy & FCC Project, HEIG-VD 2015
Geodetic Coordinates
Latitude, f, Longitude, l, geodetic height, h f l h ZG XG YG
Geodetic reference frame P
Geodetic reference ellipsoid
10/06/2015
Geodesy & FCC Project, HEIG-VD 2015

7. CERN Reference Ellipsoids
Sphere
Mean Earth Radius defined by the IUGG (International Union of Geodesy and Geophysics)
R = 6371 km
Reference Ellipsoid
GRS-80 adopted by the IUGG
a = m, equatorial radius
b = m, polar radius
10/06/2015
Geodesy & FCC Project, HEIG-VD 2015

8. Geodetic reference ellipsoid
Parameters: 2 radii
Geodetic reference ellipsoid established locally to better model the geoid
Position and orientation established by 7 parameters :
f0, l0  latitude, longitude
h0  geodetic height
a0  azimuth
h0, x0  deflections of the vertical
N0  geoidal undulation
10/06/2015
Geodesy & FCC Project, HEIG-VD 2015

9. Geodetic Coordinates –P0
Fix
Latitude, f0 = grad
Longitude, l0 = grad
Orthometric height, H0 = m f0 l0 H0 ZG XG YG P0
10/06/2015
Geodesy & FCC Project, HEIG-VD 2015

10. Geoid Model –CERN Geoid 1985
Geodetic Reference Ellipsoid, GRS-80
Geoidal Undulations
Institut d’Astronomie, BERN University
A grid of data points
Modelled by a polynomial surface
Hyperbolic Paraboloid
CG1985
10/06/2015
Geodesy & FCC Project, HEIG-VD 2015

11. Geodesy & FCC Project, HEIG-VD 2015
Geoid h0 P0 p0
Horizontal plane
Plan XYG ZG f0
Fix
Geodetic height, h0 = m
Geoid
Fix
N0 = m
10/06/2015
Geodesy & FCC Project, HEIG-VD 2015

12. CCS, Ellipsoid Normal and the Vertical
CCS XY-plane
Plan XYG ZG f0
Vertical
CCS Z-Axis
Horizontal plane
Fix
x0 = grad
h0 = grad
10/06/2015
Geodesy & FCC Project, HEIG-VD 2015

13. CCS and CERN Geodetic Reference Frame (CGRF)l0 h0 ZG XG YG
aCCS
YCCS
ZCCS
XCCS P0
Fix
a0 = grad
aCCS = grad
10/06/2015
Geodesy & FCC Project, HEIG-VD 2015

14. Geoid Model –CERN Geoid 2000
Geodetic Reference Ellipsoid, GRS-80
Geoidal Undulations
Office Fédéral de Topographie, CH
A grid of data points
Interpolated between grid points using splines
CG2000
10/06/2015
Geodesy & FCC Project, HEIG-VD 2015

15. Future Circular Collider Project
10/06/2015
Geodesy & FCC Project, HEIG-VD 2015

16. Future Circular Collider (FCC)
80 – 100 km accelerator rings under study
5 year study
Constraints
CERN area
Connected to SPS / LHC
Collision Energy
Geology
Conceptual Design Report by 2018
10/06/2015
Geodesy & FCC Project, HEIG-VD 2015

17. Geodesy & FCC Project, HEIG-VD 2015
FCC -Study Area
ARUP
10/06/2015
Geodesy & FCC Project, HEIG-VD 2015

18. Current Proposed Layoutkm
10/06/2015
Geodesy & FCC Project, HEIG-VD 2015

19. Geodesy & FCC Project, HEIG-VD 2015
Hadron Collider
Proton - Proton
Two beams in separate vacuum chambers
Collision energy, 100 TeV
FODO cell in Arc: length ~215 m
2 Main + 2 Special Experiments
Beam size at IP
5 μm -> 7 μm (similar to LHC)
10/06/2015
Geodesy & FCC Project, HEIG-VD 2015

20. Geodesy & FCC Project, HEIG-VD 2015
Lepton Collider
Electron – Positron
Cycling Booster Ring in same tunnel
Two beams in separate vacuum chambers
Programme for 4 potential collision energies
90 – 350 GeV
FODO cell in Arc: length ~200 – 50 m
4 Experiments
Beam size at IP
Vt: 40 nm -> 250 nm
Hz: 22 μm -> 120 μm
10/06/2015
Geodesy & FCC Project, HEIG-VD 2015

21. FCC –Civil Engineering Studies
Racetrack configurations
Location, orientation and depth (ARUP)
Local geology (GADZ)
10/06/2015
Geodesy & FCC Project, HEIG-VD 2015

22. (1b) 93km Quasi-circle 10/06/2015 Geodesy & FCC Project, HEIG-VD 2015
John Osborne (CERN-GS)
10/06/2015
Geodesy & FCC Project, HEIG-VD 2015

23. Geodesy & FCC Project, HEIG-VD 2015
FCC -SU Studies
SU studies started in 2015
Review of global positions and orientations
CGRF, geoid models, Deflections of the Vertical
Extension of CERN reference systems
Geoid model, CCS, CERN projections
Analysis of alignment accuracy requirements
Surface geodetic reference networks
Transfer of positions underground
10/06/2015
Geodesy & FCC Project, HEIG-VD 2015

24. Geodesy & FCC Project, HEIG-VD 2015
FCC -SU Studies
Metrology
Underground geodetic reference networks
Machine alignment
Permanent monitoring and alignment systems
Remotely controlled and maintained!
Experiment assembly and alignment
Research and Development
Data capture, management, processing and analysis
Planning, Resources and Costs
10/06/2015
Geodesy & FCC Project, HEIG-VD 2015

25. Thank you for your attention
10/06/2015
Geodesy & FCC Project, HEIG-VD 2015