The adiabatic motion of charged particles

1964 ◽  
Vol 59 (4) ◽  
pp. 691
Author(s):  
L.R.
Physics Today ◽  
1964 ◽  
Vol 17 (4) ◽  
pp. 80-80
Author(s):  
Theodore G. Northrop ◽  
R. E. Marshak ◽  
Ernest P. Gray

Author(s):  
J. Byrne

SynopsisThe adiabatic invariants associated with the motion of charged particles, trapped in electromagnetic fields with rotational and reflection symmetry, have been studied using classical methods based on the Hamilton-Jacobi equation. It has been shown that results, valid for trapping in purely magnetic configurations, may be applied in the analysis of electromagnetic charged particle traps, provided that suitably modified expressions are used for the angular frequencies in the various dynamical modes. Attention is drawn to circumstances in which the adiabatic conditions may be violated because of cancellation of electric and magnetic terms in the equations.


1964 ◽  
Vol 32 (10) ◽  
pp. 807-807 ◽  
Author(s):  
Theodore G. Northrop ◽  
F. R. Scott

2016 ◽  
Vol 834 (1) ◽  
pp. 34 ◽  
Author(s):  
H. V. Malova ◽  
V. Yu. Popov ◽  
E. E. Grigorenko ◽  
A. A. Petrukovich ◽  
D. Delcourt ◽  
...  

2007 ◽  
Vol 14 (9) ◽  
pp. 092107 ◽  
Author(s):  
Xin Tao ◽  
Anthony A. Chan ◽  
Alain J. Brizard

2021 ◽  
pp. 27-61
Author(s):  
Hannu E. J. Koskinen ◽  
Emilia K. J. Kilpua

AbstractIn this chapter we discuss the concepts that govern the motion of charged particles in the geomagnetic field and the principles how they stay trapped in the radiation belts. The basic particle orbit theory can be found in most plasma physics textbooks. We partly follow the presentation in Koskinen (Physics of space storms, from solar surface to the earth. Springer-Praxis, Heidelberg, 2011). A more detailed discussion can be found in Roederer and Zhang (Dynamics of magnetically trapped particles. Springer, Heidelberg, 2014). A classic treatment of adiabatic motion of charged particles is Northrop (The adiabatic motion of charged particles. Interscience Publishers, Wiley, New York, 1963).


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