• DocumentCode
    334581
  • Title

    Orbit dynamics for unstable linear motion

  • Author

    Parzen, G.

  • Author_Institution
    Brookhaven Nat. Lab., Upton, NY, USA
  • Volume
    2
  • fYear
    1997
  • fDate
    12-16 May 1997
  • Firstpage
    1421
  • Abstract
    A treatment is given of the orbit dynamics for linear unstable motion that allows for the zeros in the beta function and makes no assumptions about the realness of the betatron and phase functions. The phase shift per turn is shown to be related to the beta function and the number of zeros the beta function goes through per turn. The solutions of the equations of motion are found in terms of the beta function
  • Keywords
    particle beam dynamics; particle beam stability; beta function; betatron function; linear unstable motion; orbit dynamics; phase function; phase shift per turn; unstable linear motion; zeros; Eigenvalues and eigenfunctions; Integral equations; Laboratories; Lattices;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Particle Accelerator Conference, 1997. Proceedings of the 1997
  • Conference_Location
    Vancouver, BC
  • Print_ISBN
    0-7803-4376-X
  • Type

    conf

  • DOI
    10.1109/PAC.1997.750713
  • Filename
    750713
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=334581