# Guiding Center Equations in Toroidal Equilibria

## Abstract

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.

- Authors:

- Publication Date:

- Research Org.:
- Princeton Plasma Physics Lab., NJ (US)

- Sponsoring Org.:
- USDOE Office of Science (US)

- OSTI Identifier:
- 809823

- Report Number(s):
- PPPL-3743

TRN: US0302621

- DOE Contract Number:
- AC02-76CHO3073

- Resource Type:
- Technical Report

- Resource Relation:
- Other Information: PBD: 3 Sep 2002

- Country of Publication:
- United States

- Language:
- English

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

### Citation Formats

```
White, Roscoe, and Zakharov, Leonid.
```*Guiding Center Equations in Toroidal Equilibria*. United States: N. p., 2002.
Web. doi:10.2172/809823.

```
White, Roscoe, & Zakharov, Leonid.
```*Guiding Center Equations in Toroidal Equilibria*. United States. doi:10.2172/809823.

```
White, Roscoe, and Zakharov, Leonid. Tue .
"Guiding Center Equations in Toroidal Equilibria". United States. doi:10.2172/809823. https://www.osti.gov/servlets/purl/809823.
```

```
@article{osti_809823,
```

title = {Guiding Center Equations in Toroidal Equilibria},

author = {White, Roscoe and Zakharov, Leonid},

abstractNote = {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.},

doi = {10.2172/809823},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Tue Sep 03 00:00:00 EDT 2002},

month = {Tue Sep 03 00:00:00 EDT 2002}

}

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