Abstract
Gyroinvariant drift velocities and first adiabatic invariants have been determined in a unidirectional magnetic field B=B(x,y)b̂, to fourth and third order of accuracy, respectively. The new method described here uses nonanalytical complex functions and successive integration by parts, combined with a suitable average over a quasiperiodic function. A suitable definition of the guiding center to any order is discussed and its position determined to fourth order of accuracy. A non-Hamiltonian method is described to find the first adiabatic invariant.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
