Published April 10, 1997 | Version v1
Journal article Metadata-only

Numerical evaluation of long-term stability

Creators

  • 1. University of Bologna, Department of Physics, Via Irnerio 46, 40126, Bologna (Italy)
  • 2. CERN, SL. Division, CH 1211 Geneva (Switzerland)

Description

The problem of predicting long-term particle loss in 4D betatronic motion is considered. A phenomenological scenario is derived through numerical tools based on tracking and frequency analysis. A three-parameter formula to interpolate the dynamic aperture versus the number of turns is proposed. The agreement with tracking data is excellent, and the extrapolation for very high number of turns agrees with the onset of chaos evaluated through the Lyapunov method

Additional details

Identifiers

DOI
10.1063/1.53494;

Publishing Information

Journal Title
AIP Conference Proceedings
Journal Volume
405
Journal Issue
1
Journal Page Range
p. 25-39
ISSN
0094-243X
CODEN
APCPCS

Conference

Title
Symposium on beam stability and nonlinear dynamics
Dates
3-5 Dec 1996
Place
Santa Barbara, CA (United States)

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
40044185
Subject category
S43: PARTICLE ACCELERATORS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
BEAM DYNAMICS; BEAM EMITTANCE; BETATRONS; CHAOS THEORY; EVALUATION; EXTRAPOLATION; FREQUENCY ANALYSIS; LYAPUNOV METHOD; NUMERICAL ANALYSIS; PARTICLE BEAMS; PARTICLE LOSSES; STABILITY
Descriptors DEC
ACCELERATORS; BEAMS; CALCULATION METHODS; CYCLIC ACCELERATORS; DYNAMICS; LOSSES; MATHEMATICAL SOLUTIONS; MATHEMATICS; MECHANICS; NUMERICAL SOLUTION

Optional Information

Notes
(c) 1997 American Institute of Physics.