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Numerical Evaluation of long-term Stability
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...
| Autores principales: | , , |
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| Lenguaje: | eng |
| Publicado: |
1997
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| Materias: | |
| Acceso en línea: | https://dx.doi.org/10.1063/1.53494 http://cds.cern.ch/record/334598 |
| Sumario: | 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. |
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