SAVE THE THIRD ADIABATIC INVARIANTS OF MOTION IN THE EQUATORIAL PLANE MAGNETIC FIELD WITH A WEAK AXIAL ASYMMETRY

Abstract

The question of preservation of the third adiabatic invariant motion of charged particles vII = 0 (equatorial plane) in the flow and the canonical form in magnetic fields having a weak asymmetry. Go to rotating with the angular velocity of the drift coordinate system allows us to reduce the problem to have been solved, namely, the task of saving the third adiabatic invariant in the axially symmetric, but the time-varying magnetic field.

Authors and Affiliations

Vadim Bogdanov, Alexandr Kaisin

Keywords

Related Articles

ABOUT THE LINEAR DIOPHANTINE EQUATIONS AND WAYS OF THEIR SOLUTIONS

The paper discusses ways to solve linear Diophantine equations in the particular case of two unknowns, and, in general, with a few unknowns. The main result is contained in Theorem 1, which provides a general method for...

NONLINEAR EFFECTS IN THE SURFACE ATMOSPHERE BASED ON THE ATMOSPHERIC-ELECTRICAL MEASUREMENTS RESULTS

Proceeding from the results of measurements near the earth’s surface, nonlinear effects associated with the dependence of electrical conductivity on the electric field strength have been observed. This is manifested in t...

GROUPS WITH REPRESENTATION < a,b;a n = 1,ab = b³a³>

Established that for n = 4 and n ≥ 7 group G(n) = < a,b;a^n = 1,ab = b³a³> are infinite, and for the remaining n evaluated the procedure and investigate the structure of the group G(n).

THE PROCEDURE DIRECTED SEARCH FOR SPECIFIC OPERATIONS ON ALGORITHMS

This paper considers the logical approach to the theoretical justification of constructing correct algorithms that extend the area of the solutions obtained on the basis of existing algorithms. The proposed method makes...

IMPLEMENTATION OF PROCEDURES CREATIVE APPROACHES IN THE CLASSROOM COURSE ON THEORY IMAGES

This article discusses the implementation techniques of creativity in the classroom course on the theory of images. The development of spatial concepts, the systematization of knowledge about the properties of geometric...

Download PDF file
  • EP ID EP486504
  • DOI 10.18454/2079-6641-2015-11-2-67-76
  • Views 106
  • Downloads 0

How To Cite

Vadim Bogdanov, Alexandr Kaisin (2015). SAVE THE THIRD ADIABATIC INVARIANTS OF MOTION IN THE EQUATORIAL PLANE MAGNETIC FIELD WITH A WEAK AXIAL ASYMMETRY. Вестник КРАУНЦ. Физико-математические науки, 2(), 67-76. https://europub.co.uk/articles/-A-486504