On correctness of canonical formulation of the problem of motion of submicron particles in the Earth’s plasmasphere

Kolesnikov, E. K.; Чернов, С. В.; Yakovlev, A. B.

doi:10.1134/s0010952507060032

Cited by 8 publications

(29 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…where P i are components of the generalized momentum vector. In [7] on the basis of numerical simulation's results we showed that for MP's motion in the Earth's plasmasphere the condition (1) is true for micro-particles with radii more than 0.01 microns if their orbits are situated on altitudes more than one and a half of Earth's radius from a surface of the Earth. The geometrical conditions (2) are satisfied due to specific features of plasma spatial distribution in the Earth's plasmasphere.…”

Section: The Hamilton Function For Bodies With Variable Electric Chargementioning

confidence: 97%

“…The gravitational force and the force of solar pressure do not depend on velocity (for spherical MP) and are represented by usual potentials V gr and V sp . At the same time we showed in [7] that the Lorentz force acting upon variable electric charge of MP from the side of magnetic and electric fields of the near-Earth space admits to be represented with the help of generalized potential V sp , if appropriate constraints are imposed on the character of variation of the charge in the process of its orbital motion and also on geometrical features of the magnetic and electric fields of the NES. The first of these constraints consists in validity of the condition of quasi-equilibrium (1) of electric charge which is determined by local values of parameters of the ambient plasma and depends only on current coordinates of body.…”

Section: The Hamilton Function For Bodies With Variable Electric Chargementioning

confidence: 99%

“…In [7] conditions of applicability of the canonical formulation of a problem of the motion of a body with locally equilibrium electric charge in the NES have been defined.…”

Section: The Hamilton Function For Bodies With Variable Electric Chargementioning

confidence: 99%

“…We showed in [7] that, if conditions (1)-(2) are met, the Lorentz force can be represented by the generalized potential…”

Section: The Hamilton Function For Bodies With Variable Electric Chargementioning

confidence: 99%

“…As we showed in [7] the Hamilton function describing the dynamics of a micro-particle with variable charge in the NES is determined by the formula…”

Section: The Hamilton Function For Bodies With Variable Electric Chargementioning

confidence: 99%

See 4 more Smart Citations

Analytical study of the motion of particles with variable electric charge

Yakovlev¹

2018

Sci Pub Univ Novi Pazar Ser A

View full text Add to dashboard Cite

show abstract

Section: The Hamilton Function For Bodies With Variable Electric Chargementioning

confidence: 97%

Section: The Hamilton Function For Bodies With Variable Electric Chargementioning

confidence: 99%

“…In [7] conditions of applicability of the canonical formulation of a problem of the motion of a body with locally equilibrium electric charge in the NES have been defined.…”

Section: The Hamilton Function For Bodies With Variable Electric Chargementioning

confidence: 99%

“…We showed in [7] that, if conditions (1)-(2) are met, the Lorentz force can be represented by the generalized potential…”

Section: The Hamilton Function For Bodies With Variable Electric Chargementioning

confidence: 99%

“…As we showed in [7] the Hamilton function describing the dynamics of a micro-particle with variable charge in the NES is determined by the formula…”

Section: The Hamilton Function For Bodies With Variable Electric Chargementioning

confidence: 99%

See 3 more Smart Citations

Analytical study of the motion of particles with variable electric charge

Yakovlev¹

2018

Sci Pub Univ Novi Pazar Ser A

View full text Add to dashboard Cite

show abstract

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

2017

Self Cite

View full text Add to dashboard Cite

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.

show abstract

The restrictions on the assumption about conservation of parameters of orbit for submicron particles in the Earth’s plasmasphere in light of the corotational electric field

2018

Self Cite

View full text Add to dashboard Cite

The influence of the corotational electric field on the possibility of long holding of micro-particles with radii of the order of some hundredths of micrometers and quasi-equilibrium charge moving along weakly elliptic orbits in the plasmasphere of the Earth is considered by analytical and numerical methods. It is shown that, unlike the magnetic field, the corotational electric field causes a slow change in the shape of the orbit.

show abstract

On correctness of canonical formulation of the problem of motion of submicron particles in the Earth’s plasmasphere

Cited by 8 publications

References 7 publications

Analytical study of the motion of particles with variable electric charge

Analytical study of the motion of particles with variable electric charge

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

The restrictions on the assumption about conservation of parameters of orbit for submicron particles in the Earth’s plasmasphere in light of the corotational electric field

Contact Info

Product

Resources

About