Guiding Center Equations in Toroidal Equilibria

Technical Report · Tue Sep 03 00:00:00 EDT 2002

DOI:https://doi.org/10.2172/809823· OSTI ID:809823

White, Roscoe; Zakharov, Leonid

Guiding center equations for particle motion in a general toroidal magnetic equilibrium configuration are derived using magnetic coordinates. Previous derivations made use of Boozer coordinates, in which the poloidal and toroidal angle variables are chosen so that the Jacobian is inversely proportional to the square of the magnetic field. It is shown that the equations for guiding center motion in any equilibrium possessing nested flux surfaces have exactly the same simple form as those derived in this special case. This allows the use of more spatially uniform coordinates instead of the Boozer coordinates, greatly increasing the accuracy of calculations in large beta and strongly shaped equilibria.

• Research Organization: Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
• Sponsoring Organization: USDOE Office of Science (US)
• DOE Contract Number: AC02-76CHO3073
• OSTI ID: 809823
• Report Number(s): PPPL-3743; TRN: US0302621
• Resource Relation: Other Information: PBD: 3 Sep 2002
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
ACCURACY
CONFIGURATION
MAGNETIC FIELDS
MAGNETIC SURFACES
PHYSICS
HAMILTONIANS
COMPUTATIONAL PHYSICS
GUIDING-CENTER APPROXIMATIONS
HAMILTONIAN