Title :
Constant of motion and dynamic equations for one dimensional autonomous system, and radiation damping
Author_Institution :
Superconducting Super Collider Lab., Dallas, TX, USA
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;
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
DOI :
10.1109/PAC.1991.164312
