On the feasibility of tracking with differential-algebra maps in long-term stability studies for large hadron colliders
- CERN, Geneva (Switzerland)
- Superconducting Super Collider Laboratory, Dallas, TX (United States). Accelerator Design and Operations Division; and others
A time-saving alternative to conventional element-by-element tracking in long-term stability studies is the use of truncated Taylor maps. This report discusses how the non-symplecticity of a moderately high-order truncated Taylor map affects its reliability when the map is used for tracking over several thousand turns. Various machines and two different map-constructing programs are compared. It is found that the discrepancies between the Taylor map results and those obtained by direct tracking grow with amplitude. Thus, such maps are not guaranteed to be sufficient for long-term tracking over millions of turns without suitable symplectification.
- Research Organization:
- Superconducting Super Collider Lab., Dallas, TX (United States)
- Sponsoring Organization:
- USDOE, Washington, DC (United States)
- DOE Contract Number:
- AC35-89ER40486
- OSTI ID:
- 82307
- Report Number(s):
- SSCL-564; DESY-HERA-92-01; CERN-SL-92-02(AP); ON: DE95011201; TRN: 95:017116
- Resource Relation:
- Other Information: PBD: Jan 1992
- Country of Publication:
- United States
- Language:
- English
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