title: The allowed regions in the problem concerning dynamics of a charged particle in a superposition of dipole and uniform magnetic fields
metadata.name: dc.contributor.author
metadata.value: Kolesnikov, Evgeniy K.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Klushnikov, Georgiy N.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2016-08-01T12:01:46Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2016-08-01T12:01:46Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2016-06
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/2466
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The motion of charged particles in the Earth’s magnetic field has been of interest to mathematicians
  and physicists in connection with the study of the polar aurora and cosmic rays. In 1907 norwegian
  mathematician Stormer gave the mathematical formulation of this problem. It became the problem of great importance with the discovery of the Van Allen radiation. As is known that the magnetic field
  of the Earth can be considered approximately as a superposition of dipole and uniform magnetic fields,
  and the dipole’s magnetic moment is either parallel or antiparallel to the induction of the uniform field.
  Thus, the problem concerning the dynamics of the charged particle in the magnetic field of the Earth is
  reduced to that of the dynamics of the charged particle in the composed field. The paper is devoted to
  the construction and investigation of the allowed regions in the problem of dynamics of charged particles
  in a superposition of dipole and uniform magnetic fields for positive values of Stormer’s constant γ and
  the same orientation of magnetic moment and uniform field. Refs 4. Figs 1.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Series 1. Mathematics. Mechanics. Astronomy;Vol. 3 (61); Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: charged particles
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: magnetic field
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: hamiltonian
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: allowed regions
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: integral of the motion
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: The allowed regions in the problem concerning dynamics of a charged particle in a superposition of dipole and uniform magnetic fields
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: Колесников_Клюшников.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/2466/1/%d0%9a%d0%be%d0%bb%d0%b5%d1%81%d0%bd%d0%b8%d0%ba%d0%be%d0%b2_%d0%9a%d0%bb%d1%8e%d1%88%d0%bd%d0%b8%d0%ba%d0%be%d0%b2.pdf
resources.format: Adobe PDF
resources.size: 236,17 kB