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Title: Canonical transformation for trapped/passing guiding-center orbits in axisymmetric tokamak geometry

The generating function for the canonical transformation from the parallel canonical coordinates (s,p{sub ||}) to the action-angle coordinates (ζ, J) for trapped/passing guiding-center orbits in axisymmetric tokamak geometry is presented. Drawing on the analogy between the phase-space portraits of the librating/rotating pendulum and the trapped/passing guiding-center orbits, the generating function is expressed in terms of the Jacobi zeta function, which can then readily be used to obtain an explicit expression for the bounce-center transformation for trapped/passing-particle guiding-center orbits in axisymmetric tokamak geometry.
Authors:
 [1] ;  [2] ;  [3]
  1. Department of Physics, Saint Michael's College, Colchester, Vermont 05439 (United States)
  2. CEA, IRFM, F-13108 Saint-Paul-lez-Durance (France)
  3. (Korea, Republic of)
Publication Date:
OSTI Identifier:
22300160
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 21; Journal Issue: 5; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; AXIAL SYMMETRY; CANONICAL DIMENSION; CANONICAL TRANSFORMATIONS; GEOMETRY; MECHANICAL VIBRATIONS; ORBITS; PHASE SPACE; TIME MEASUREMENT; TOKAMAK DEVICES; TRAPPING