Applied Scientific Research, Section B

, Volume 8, Issue 1, pp 159–176 | Cite as

On the motion of a charged particle in an almost homogeneous magnetic field

  • L. J. F. Broer
  • L. van Wijngaarden


In the first part of this paper the motion of a particle in a slowly varying homogeneous field is studied. An expansion is given for the dominating spiralling part of the motion. It is found that the centre of this motion will drift slowly. Calculation of the drift amounts to the determination of the reflection in an equivalent wave propagation problem. In the remaining section the motion in constant, nearly homogeneous fields is treated, partly using the same method. In a few representative cases it is shown that the first approximation reproduces results given by Alf v Cn and Spit zer, while some results are given in second approximations.


Lorentz Force Order Quantity Homogeneous Field Homogeneous Magnetic Field Orbital Radius 


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Copyright information

© Martinus Nijhoff 1960

Authors and Affiliations

  • L. J. F. Broer
    • 1
  • L. van Wijngaarden
    • 1
  1. 1.Mededeling no. 91 uit het Laboratorium voor Aero- en Hydrodynannica van de Technische Hogeschool te DelftNetherlands

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