Fast symplectic mapping and quasi-invariants for the Large Hadron Collider

Conference · Mon May 01 00:00:00 EDT 1995

OSTI ID:81089

Warnock, R L; Berg, J S ^[1]; Forest, E ^[2]

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1. Stanford Linear Accelerator Center, Menlo Park, CA (United States)
2. Lawrence Berkeley Lab., CA (United States)

Beginning with a tracking code for the LHC, we construct the canonical generator of the full-turn map in polar coordinates. For very fast mapping we adopt a model in which the momentum is modulated sinusoidally with a period of 130 turns (very close to the synchrotron period). We achieve symplectic mapping of 10{sup 7} turns in 3.6 hours on a workstation. Quasi-invariant tori are constructed on the Poincare section corresponding to multiples of the synchrotron period. The possible use of quasi-invariants in derivin, long-term bounds on the motion is discussed.

• Research Organization: SLAC National Accelerator Lab., Menlo Park, CA (United States)
• Sponsoring Organization: USDOE, Washington, DC (United States)
• DOE Contract Number: AC03-76SF00515
• OSTI ID: 81089
• Report Number(s): SLAC-PUB-95-6840; CONF-950512-177; ON: DE95013378; TRN: 95:016398
• Resource Relation: Conference: 16. Institute of Electrical and Electronic Engineers (IEEE) particle accelerator conference, Dallas, TX (United States), 1-5 May 1995; Other Information: PBD: May 1995
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
BEAM DYNAMICS
MAPPING
COLLIDING BEAMS
BEAM INJECTION
SYNCHROTRON OSCILLATIONS
ACCELERATORS