RELATIVISTIC GUIDING CENTER DRIFT ORBITS IN CANONICAL AND MAGNETIC COORDINATES

The Hamiltonian formulation of the guiding centre drift orbits for thr ee-dimensional (3D) toroidal configurations with general time-dependen t electric and magnetic held structures has been extended to cover rel ativistic particles. For static 3D magnetic fields with nested magneti c surfaces, a mapping procedure from the equilibrium to the canonical coordinates is outlined. This transformation is shown to be so complic ated that it renders impractical most applications in canonical coordi nates. For magnetic coordinates, the transformation is straightforward . The relativistic guiding centre drift equations are explicitly deriv ed with a constrained perturbed magnetic field that allows these coord inates to adopt a canonical structure.