Analytical study of the conjecture rule for the combination of multipole effects in LHC

This paper summarizes the analytical investigation done on the conjecture law found by tracking for the effect on the dynamic aperture of the combination of two multipoles of various order. A one-dimensional model leading to an integrable system has been used to find closed formulae for the dynamic...

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Detalles Bibliográficos
Autores principales: Guignard, Gilbert, Hagel, J
Lenguaje:eng
Publicado: 1997
Materias:
Accelerators and Storage Rings
Acceso en línea:http://cds.cern.ch/record/323929
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author Guignard, Gilbert
Hagel, J
author_facet Guignard, Gilbert
Hagel, J
author_sort Guignard, Gilbert
collection CERN
description This paper summarizes the analytical investigation done on the conjecture law found by tracking for the effect on the dynamic aperture of the combination of two multipoles of various order. A one-dimensional model leading to an integrable system has been used to find closed formulae for the dynamic aperture associated with a fully distributed multipole. The combination has then been studied and the resulting expression compared with the assumed conjecture law. For integrated multipoles small with respect to the focusing strength, the conjecture appears to hold, though with an exponent different from the one expected by crude reasoning.
id cern-323929
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1997
record_format invenio
spelling cern-3239292023-05-31T13:24:43Zhttp://cds.cern.ch/record/323929engGuignard, GilbertHagel, JAnalytical study of the conjecture rule for the combination of multipole effects in LHCAccelerators and Storage RingsThis paper summarizes the analytical investigation done on the conjecture law found by tracking for the effect on the dynamic aperture of the combination of two multipoles of various order. A one-dimensional model leading to an integrable system has been used to find closed formulae for the dynamic aperture associated with a fully distributed multipole. The combination has then been studied and the resulting expression compared with the assumed conjecture law. For integrated multipoles small with respect to the focusing strength, the conjecture appears to hold, though with an exponent different from the one expected by crude reasoning.LHC-Project-Report-97CERN-LHC-Project-Report-97oai:cds.cern.ch:3239291997-03-03
spellingShingle Accelerators and Storage Rings
Guignard, Gilbert
Hagel, J
Analytical study of the conjecture rule for the combination of multipole effects in LHC
title Analytical study of the conjecture rule for the combination of multipole effects in LHC
title_full Analytical study of the conjecture rule for the combination of multipole effects in LHC
title_fullStr Analytical study of the conjecture rule for the combination of multipole effects in LHC
title_full_unstemmed Analytical study of the conjecture rule for the combination of multipole effects in LHC
title_short Analytical study of the conjecture rule for the combination of multipole effects in LHC
title_sort analytical study of the conjecture rule for the combination of multipole effects in lhc
topic Accelerators and Storage Rings
url http://cds.cern.ch/record/323929
work_keys_str_mv AT guignardgilbert analyticalstudyoftheconjectureruleforthecombinationofmultipoleeffectsinlhc
AT hagelj analyticalstudyoftheconjectureruleforthecombinationofmultipoleeffectsinlhc

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