• DocumentCode
    2111499
  • Title

    Constant of motion and dynamic equations for one dimensional autonomous system, and radiation damping

  • Author

    López, G.

  • Author_Institution
    Superconducting Super Collider Lab., Dallas, TX, USA
  • fYear
    1991
  • fDate
    6-9 May 1991
  • Firstpage
    392
  • Abstract
    The dynamic equations for a one-dimensional autonomous system, along with their dynamic transformations, are expressed in terms of the constant of motion of the system. The relation between Hamilton´s equations and the constant of motion is studied. This approach is applied to the radiation damping suffered by a proton inside the beam circulating around the Superconducting Super Collider (SSC) ring.<>
  • Keywords
    particle beam diagnostics; proton accelerators; synchrotrons; Hamilton´s equations; SSC; Superconducting Super Collider; constant of motion; dynamic equations; dynamic transformations; one-dimensional autonomous system; proton; radiation damping; Colliding beam accelerators; Colliding beam devices; Damping; Equations; Laboratories; Lagrangian functions; Particle accelerators; Particle beams; Space charge; Space exploration;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Particle Accelerator Conference, 1991. Accelerator Science and Technology., Conference Record of the 1991 IEEE
  • Conference_Location
    San Francisco, CA, USA
  • Print_ISBN
    0-7803-0135-8
  • Type

    conf

  • DOI
    10.1109/PAC.1991.164312
  • Filename
    164312