Compact formulas for guiding-center orbits in axisymmetric tokamak geometry

Abstract

Compact formulas for trapped-particle and passing-particle guiding-center orbits in axisymmetric tokamak geometry are given in terms of the Jacobi elliptic functions and complete elliptic integrals. These formulas can find applications in bounce-center kinetic theory as well as neoclassical transport theory.

9 pages, 10 figures, new references added

References in corpus (2)

• Orbit-averaged Guiding-center Fokker-Planck Operator
• Perturbation analysis of trapped-particle dynamics in axisymmetric dipole geometry

Cited by in corpus (9)

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• From the orbit theory to a guiding center parametric distribution function
• Canonical transformation for trapped/passing guiding-center orbits in axisymmetric tokamak geometry
• Orbital Spectrum Analysis of Non-Axisymmetric Perturbations of the Guiding-Center Particle Motion in Axisymmetric Equilibria
• Local up-down asymmetrically shaped equilibrium model for tokamak plasmas
• Analytical Calculation of the Orbital Spectrum of the Guiding Center Motion in Axisymmetric Magnetic Fields
• Quasilinear gyrokinetic theory: A derivation of QuaLiKiz