Abstract
Combinations of the energy and magnetic moment invariants, such as the longitudinal bounce time, the longitudinal action integral, and the longitudinal turning point, are investigated to find a pair of invariants that are convenient to use for analytical determinations of the distribution function in a mirror magnetic field. The energy and the arclength along a flux line for the longitudinal turning point are found to be the most convenient pair of invariants. In terms of these invariants, the distribution function and the density are related to each other by a pair of Abel transforms. The calculation is done for a three-dimensional minimum B field. The simplicity of the model is illustrated with a construction of a sloshing ion distribution with a realistic density profile.
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 call
