Particle Description of the Magnetosphere

  • James A. Van Allen
Conference paper
Part of the Astrophysics and Space Science Library book series (ASSL, volume 10)


It is more than merely a therapeutic exercise to realize that everything that happens to a charged particle moving in an electromagnetic field is given by the basic equation of motion
$$ {\rm\bf F}={{\rm d\bf p}\over {\rm d}t}=Ze\Big({{\rm\bf v}\over c}\times {\rm curl{\bf A}}-{1\over c}{\partial{\bf A}\over \partial t}-{\rm grad}\ U\Big).$$
Here F is the force acting on the particle of charge Ze that moves with velocity v and momentum p in the electromagnetic field determined by the vector potential A and scalar potential U. The first term on the right in (1) serves only to deflect the particle without changing its energy, while the remaining terms are due to the electric field and can change both the direction of motion and the energy of the particle. Regardless of the complexity of the description of charged particle motion, one must always be able to identify what happens within the framework of the above fundamental equation.


Solar Wind Magnetic Storm Outer Zone Radiation Belt Trap Particle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Dessler, A. J. and Parker, E. N.: 1959, J. Geophys. Res. 64, 2239.ADSCrossRefGoogle Scholar
  2. Goldstein, H.: 1959, Classical Mechanics, Addison-Wesley Publ. Co., Reading, Mass.Google Scholar
  3. McIlwain, C. E.: 1961, J. Geophys. Res. 66, 3681.ADSCrossRefGoogle Scholar
  4. Murayama, T.: 1966, J. Geophys. Res. 71, 5547.ADSGoogle Scholar
  5. Northrop, T. G. and Teller, E.: 1960, Phys. Rev. 117, 215.MathSciNetADSCrossRefGoogle Scholar
  6. Serlemitsos, P.: 1966, J. Geophys. Res. 71, 61.ADSGoogle Scholar
  7. Störmer, C.: 1907, Arch. sci. phys. nat. 24, 5–18, 113–158, 221–247, 317–354.Google Scholar
  8. Swann: 1933, Phys. Rev. 44, 224.ADSzbMATHCrossRefGoogle Scholar
  9. Van Wyk, L. A. and Zanstra, H.: 1936, Physica, vol. III, pp. 75–84.Google Scholar
  10. Vette, J. I. and King, J. H.: 1966, NASA SP3025.Google Scholar

Copyright information

© D. Reidel Publishing Company, Dordrecht, Holland 1968

Authors and Affiliations

  • James A. Van Allen

There are no affiliations available

Personalised recommendations