TY - JOUR

T1 - Mathematical Modeling of Nonequilibrium Processes at the Department of Physical Mechanics, St. Petersburg State University. Part 3. Modeling of the Dynamics of Natural and Man-Made Microparticles in Space Plasma

AU - Яковлев, Андрей Борисович

PY - 2025/8/6

Y1 - 2025/8/6

N2 - Abstract: This work provides an overview of the research of employees of the Department and Laboratory of Physical Mechanics of St. Petersburg University that are devoted to modeling the dynamics of natural and man-made microparticles in space plasma. Special attention is given to several major results: (i) the existence of three possible regimes of vertical oscillations of a dust particle over the Moon’s surface; (ii) the identification of possible mechanisms for the long-term retention of man-made microparticles in near-Earth space; (iii) the application of methods of Kolmogorov–Arnold–Moser (KAM) theory for the proof of conservation of orbital parameters for a microparticle with constant electric charge; (iv) determination of the conditions for applicability of the canonical formulation of the problem regarding the motion of a particle with locally equilibrium electric charge in near-Earth space; and (v) generalization of results of analytical modeling for a case of variable electric charge. Other results are given short enough.

AB - Abstract: This work provides an overview of the research of employees of the Department and Laboratory of Physical Mechanics of St. Petersburg University that are devoted to modeling the dynamics of natural and man-made microparticles in space plasma. Special attention is given to several major results: (i) the existence of three possible regimes of vertical oscillations of a dust particle over the Moon’s surface; (ii) the identification of possible mechanisms for the long-term retention of man-made microparticles in near-Earth space; (iii) the application of methods of Kolmogorov–Arnold–Moser (KAM) theory for the proof of conservation of orbital parameters for a microparticle with constant electric charge; (iv) determination of the conditions for applicability of the canonical formulation of the problem regarding the motion of a particle with locally equilibrium electric charge in near-Earth space; and (v) generalization of results of analytical modeling for a case of variable electric charge. Other results are given short enough.

KW - modeling, space, atmosphereless celestial body, locally equilibrium electric charge, plasma, canonical equations, geomagnetic field, field of corotation, KAM theory

KW - моделирование, космическое пространство, безатмосферное небесное тело, локально равновесный заряд, плазма, канонические уравнения, геомагнитное по- ле, поле коротации, КАМ-теория.

KW - KAM theory

KW - atmosphereless celestial body

KW - canonical equations

KW - field of corotation

KW - geomagnetic field

KW - locally equilibrium electric charge

KW - modeling

KW - plasma

KW - space

UR - https://www.mendeley.com/catalogue/778c2b46-a70e-3362-955f-bb26986d6f50/

U2 - 10.1134/s1063454125700347

DO - 10.1134/s1063454125700347

M3 - Review article

VL - 58

SP - 347

EP - 362

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 3

ER -