Study of the Non-linear Behaviour of the LHC using Normal Forms

Normal form tools are used in view of understanding the causes of dynamic aperture limitations in the LHC optics versions 4 and 5. To this end, maps up to 11th order have been produced and analysed by means of Lie algebraic methods, for all models and 60 different realisations of the accelerator, at...

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Detalles Bibliográficos
Autores principales: Papaphilippou, Y, Schmidt, F
Lenguaje:eng
Publicado: 1998
Materias:
Accelerators and Storage Rings
Acceso en línea:http://cds.cern.ch/record/370245
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author Papaphilippou, Y
Schmidt, F
author_facet Papaphilippou, Y
Schmidt, F
author_sort Papaphilippou, Y
collection CERN
description Normal form tools are used in view of understanding the causes of dynamic aperture limitations in the LHC optics versions 4 and 5. To this end, maps up to 11th order have been produced and analysed by means of Lie algebraic methods, for all models and 60 different realisations of the accelerator, at injection energy. The resonances up to 12th order are systematically analysed and correlated with the dynamic aperture. It has been of particular interest to establish the link between the individual multipole coeffcients and the higher order contributions to a specific resonance
id cern-370245
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1998
record_format invenio
spelling cern-3702452023-05-31T13:24:41Zhttp://cds.cern.ch/record/370245engPapaphilippou, YSchmidt, FStudy of the Non-linear Behaviour of the LHC using Normal FormsAccelerators and Storage RingsNormal form tools are used in view of understanding the causes of dynamic aperture limitations in the LHC optics versions 4 and 5. To this end, maps up to 11th order have been produced and analysed by means of Lie algebraic methods, for all models and 60 different realisations of the accelerator, at injection energy. The resonances up to 12th order are systematically analysed and correlated with the dynamic aperture. It has been of particular interest to establish the link between the individual multipole coeffcients and the higher order contributions to a specific resonanceLHC-Project-Report-235CERN-LHC-Project-Report-235oai:cds.cern.ch:3702451998-11-02
spellingShingle Accelerators and Storage Rings
Papaphilippou, Y
Schmidt, F
Study of the Non-linear Behaviour of the LHC using Normal Forms
title Study of the Non-linear Behaviour of the LHC using Normal Forms
title_full Study of the Non-linear Behaviour of the LHC using Normal Forms
title_fullStr Study of the Non-linear Behaviour of the LHC using Normal Forms
title_full_unstemmed Study of the Non-linear Behaviour of the LHC using Normal Forms
title_short Study of the Non-linear Behaviour of the LHC using Normal Forms
title_sort study of the non-linear behaviour of the lhc using normal forms
topic Accelerators and Storage Rings
url http://cds.cern.ch/record/370245
work_keys_str_mv AT papaphilippouy studyofthenonlinearbehaviourofthelhcusingnormalforms
AT schmidtf studyofthenonlinearbehaviourofthelhcusingnormalforms

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