Hostname: page-component-586b7cd67f-tf8b9 Total loading time: 0 Render date: 2024-12-04T19:17:38.458Z Has data issue: false hasContentIssue false
  • English
  • Français

Analytical research on the possibility of long orbital existence of submicron particles in the Earth’s plasmasphere by the methods of the KAM theory

Published online by Cambridge University Press:  21 June 2017

A. B. Yakovlev Open the ORCID record for A. B. Yakovlev [Opens in a new window] ,
E. K. Kolesnikov  and
S. V. Chernov
A. B. Yakovlev*
Affiliation:
Saint Petersburg State University, St. Petersburg, 199034 Russia
E. K. Kolesnikov
Affiliation:
Saint Petersburg State University, St. Petersburg, 199034 Russia
S. V. Chernov
Affiliation:
Saint Petersburg State University, St. Petersburg, 199034 Russia
*
†Email address for correspondence: a.b.yakovlev@spbu.ru
Get access Rights & Permissions [Opens in a new window]

Abstract

Particles which move in the magnetosphere’s plasma gain an electric charge which depends on the density and temperature of the plasma and the sunlight stream. If motion is slow enough, it is possible to consider that the micro-particle’s electric charge is in quasi-equilibrium. For certain conditions, the Hamilton function can be written for the problem with a variable electric charge and, hence, the methods of the analysis of systems of Hamilton equations can be applied for research of such micro-particle motion. Although these conditions are strong enough, they correspond to the statement of many real problems. The spatial distribution of plasma in the Earth’s plasmasphere is described by a model of a two-component plasma. In the present paper, the capability of propagation of results which were received earlier for a case of the motion of a quasi-equilibrium electric charge in the Earth plasmasphere has been shown. The received result shows that there is an opportunity for long orbital holding (not less than one month) of micro-particles of space dust in the Earth’s plasmasphere.

Keywords

space plasma physics
Type
Research Article
Information
Journal of Plasma Physics , Volume 83 , Issue 3 , June 2017 , 905830306
Copyright
© Cambridge University Press 2017 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Arnol’d, V. I. 1961 A proof of the Kolmogorov’s theorem on conservation of conditionally-periodic motions at a small change of the Hamilton function. Usp. Mat. Nauk 25 (1), 21–86.Google Scholar
Braun, M. 1970 Particle motion in a magnetic field. J. Differ. Equ. 8, 294–332.CrossRefGoogle Scholar
Dorman, L. I., Smirnov, V. S. & Tjasto, M. I. 1971 Cosmic Rays in a Magnetic Field of the Earth. Nauka.Google Scholar
Duboshin, G. N. 1964 The Celestial Mechanics. The Primary Problems and Methods. Nauka.Google Scholar
Goldstein, H. 1953 Classical Mechanics. Addison–Wesley.Google Scholar
Hill, J. R. & Wipple, E. C. 1985 Charging of large structures in space with application to the solar sail spacecraft. J. Spacecr. Rockets 22, 245–253.CrossRefGoogle Scholar
Horanyi, M., Houpis, H. L. F. & Mendis, D. A. 1988 Charged dust in the earth’s magnetosphere. Astrophys. Space Sci. 144, 215–229.CrossRefGoogle Scholar
Kolesnikov, E. K. 2001 Peculiarities of the orbital motion of submicron particles in the earth’s plasmasphere. Kosm. Issled. 39 (1), 100–105.Google Scholar
Kolesnikov, E. K. & Chernov, S. V. 1997 Microparticle residence time in low near-earth circular orbits. Kosm. Issled. 35 (2), 221–222.Google Scholar
Kolesnikov, E. K. & Chernov, S. V. 2003 Dimensions of microparticles trapped by the earth’s magnetic field at various geomagnetic activity levels. Kosm. Issled. 41 (5), 558–560.Google Scholar
Kolesnikov, E. K. & Chernov, S. V. 2004 Development of methods of numerical simulation of dynamics of fine-dispersed particles in the near earth space. In Models of Mechanics of Continua. Survey Reports and Lectures of 17 Sessions by International School on Models of Mechanics of the Continua, pp. 55–83. Kazan, Russia (July 4–10, 2004).Google Scholar
Kolesnikov, E. K., Chernov, S. V. & Yakovlev, A. B. 1999 Lifetime of microparticles in a geosynchronous orbit. Kosm. Issled. 37 (4), 446–448.Google Scholar
Kolesnikov, E. K., Chernov, S. V. & Yakovlev, A. B. 2007 On correctness of canonical formulation of the problem of motion of submicron particles in the earth’s plasmasphere. Kosm. Issled. 45 (6), 499–504.Google Scholar
Merzlyakov, E. G. 1996 On the motion of submicron particles in low near-earth orbits. Kosm. Issled. 34 (5), 558–560.Google Scholar
Mozer, Yu. 1981 Some aspects of integrable Hamiltonian systems. Usp. Mat. Nauk 36 (5), 109–151.Google Scholar
Vavilov, S. A. & Kolesnikov, E. K. 1981 Some issues of dynamics of strongly charged bodies in open space. In Dynamical Processes in Gases and Solid Bodies, vol. 4, pp. 168–180. Leningrad.Google Scholar