Compact formulas for guiding-center orbits in axisymmetric tokamak geometry

TL;DR

This paper presents compact formulas for guiding-center orbits in axisymmetric tokamaks using elliptic functions, facilitating applications in kinetic and transport theories.

Contribution

It introduces new, simplified formulas for guiding-center orbits in tokamak geometry using elliptic functions, enhancing analytical and computational approaches.

Findings

Formulas expressed in Jacobi elliptic functions and elliptic integrals.

Applicable to bounce-center kinetic and neoclassical transport theories.

Simplifies analysis of particle orbits in 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.