• DocumentCode
    1898216
  • Title

    Linear orbit parameters for the exact equations of motion

  • Author

    Parzen, G.

  • Author_Institution
    Brookhaven Nat. Lab., Upton, NY, USA
  • Volume
    5
  • fYear
    1995
  • fDate
    1-5 May 1995
  • Firstpage
    2795
  • Abstract
    This paper defines the beta function and other linear orbit parameters using the exact equations of motion. The β, α and ψ functions are redefined using the exact equations. Expressions are found for the transfer matrix and the emittance. The differential equations for η=x/β½ is found. New relationships between α, β, ψ and ν are derived
  • Keywords
    differential equations; particle beam dynamics; transfer function matrices; α function; β function; ψ function; differential equations; emittance; exact equations of motion; linear orbit parameters; transfer matrix; Differential equations; Eigenvalues and eigenfunctions; Laboratories; Linear accelerators; Magnets; Tracking;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Particle Accelerator Conference, 1995., Proceedings of the 1995
  • Conference_Location
    Dallas, TX
  • Print_ISBN
    0-7803-2934-1
  • Type

    conf

  • DOI
    10.1109/PAC.1995.505696
  • Filename
    505696
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1898216