On the gyrocenter transform implemented on Lagrangian differential 1-form with the existence of magnetic perturbation

2017/07/16 by Shuangxi Zhang, Zhang, Shuangxi
Biochemistry, Genetics and Molecular Biology · Earth and Planetary Sciences · Physics and Astronomy · #Electromagnetic Scattering and Analysis #FOS: Physical sciences #Geomagnetism and Paleomagnetism Studies #Geophysics and Gravity Measurements #Plasma Physics (physics.plasm-ph)

paper · pdf · doi:10.48550/arxiv.1707.04809

openalex publication_date 2017/07/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper pointed out that the usual gyrocenter transform, which implements single-parameter Lie transform perturbation theory on Lagrangian differential 1-form of the orbit of charged particles immersed in a strong magnetic field, is not a near identical coordinate transform, and further causes some unphysical terms in the eventual orbit equations.

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