Global orbit corrections Metadata

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Title

  • Main Title Global orbit corrections

Creator

  • Author: Symon, K.
    Creator Type: Personal

Contributor

  • Sponsor: United States. Department of Energy.
    Contributor Type: Organization
    Contributor Info: USDOE, Washington, DC (United States)

Publisher

  • Name: Argonne National Laboratory
    Place of Publication: Illinois
    Additional Info: Argonne National Lab., IL (United States)

Date

  • Creation: 1987-11-01

Language

  • English

Description

  • Content Description: There are various reasons for preferring local (e.g., three bump) orbit correction methods to global corrections. One is the difficulty of solving the mN equations for the required mN correcting bumps, where N is the number of superperiods and m is the number of bumps per superperiod. The latter is not a valid reason for avoiding global corrections, since, we can take advantage of the superperiod symmetry to reduce the mN simultaneous equations to N separate problems, each involving only m simultaneous equations. Previously, I have shown how to solve the general problem when the machine contains unknown magnet errors of known probability distribution; we made measurements of known precision of the orbit displacements at a set of points, and we wish to apply correcting bumps to minimize the weighted rms orbit deviations. In this report, we will consider two simpler problems, using similar methods. We consider the case when we make M beam position measurements per superperiod, and we wish to apply an equal number M of orbit correcting bumps to reduce the measured position errors to zero. We also consider the problem when the number of correcting bumps is less than the number of measurements, and we wish to minimize the weighted rms position errors. We will see that the latter problem involves solving equations of a different form, but involving the same matrices as the former problem.
  • Physical Description: 6 p.

Subject

  • Keyword: Synchrotron Oscillations
  • Keyword: Errors
  • Keyword: Beam Dynamics
  • Keyword: Symmetry
  • STI Subject Categories: 43 Particle Accelerators
  • Keyword: Orbits
  • Keyword: Calculation Methods
  • Keyword: Mathematical Models
  • Keyword: Fourier Transformation
  • Keyword: Orbit Stability
  • Keyword: Beam Position
  • Keyword: Synchrotrons
  • Keyword: Matrices
  • Keyword: Corrections

Source

  • Other Information: PBD: Nov 1987

Collection

  • Name: Office of Scientific & Technical Information Technical Reports
    Code: OSTI

Institution

  • Name: UNT Libraries Government Documents Department
    Code: UNTGD

Resource Type

  • Report

Format

  • Text

Identifier

  • Other: DE96015128
  • Report No.: LS--101(ANL)
  • Grant Number: W-31109-ENG-38
  • DOI: 10.2172/377709
  • Office of Scientific & Technical Information Report Number: 377709
  • Archival Resource Key: ark:/67531/metadc676486

Note

  • Display Note: OSTI as DE96015128