2019/05/29 by А. И. Нейштадт, Anton Artemyev, Neishtadt, Anatoly +1
Engineering · Physics and Astronomy · #70H11 #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Ionosphere and magnetosphere dynamics #Magnetic confinement fusion research #Mathematical Physics (math-ph) #Particle accelerators and beam dynamics #Plasma Physics (physics.plasm-ph)
paper · pdf · doi:10.48550/arxiv.1905.12316
openalex publication_date 2019/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The guiding center approximation represents a very powerful tool for analyzing and modeling a charged particle motion in strong magnetic fields. This approximation is based on conservation of the adiabatic invariant, magnetic moment. Hamiltonian equations for the guiding centre motion are traditionally intoduced using a non-canonical symplectic structure. Such approach requires application of non-canonical Hamiltonian perturbation theory for calculations of the magnetic moment corrections. In this study we present an alternative approach with canonical Hamiltonian equations for guiding centre motion in time-dependent electromagnetic fields. We show that the derived Hamiltonian decouples three types of motion (gyrorotation, field-aligned motion, and across-field drifts), and each type is described by a pair of conjugate variables. This form of Hamiltonian and symplectic structure allows simple introduction of adiabatic invariants and can be useful for analysis of various plasma systems.