Guiding-center autonomy theorem

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Abstract
A study is made of the guiding-center motion of charged particles in a collisionless magnetoplasma in the standard paraxial limit, with finite-orbit ordering. As a preliminary, a simple one-fluid representation of the macroscopic plasma motion is set up, and the guiding-center equations are then referred to a Lagrangian coordinate network comoving with the representative fluid. They are then found to split themselves off from the fluid equations as an autonomous subsystem. It is concluded that the fluid motion (or the network motion) has no effect on the guiding-center trajectories relative to the network.