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Semianalytical findings for the dynamics of the charged particle in the Störmer problem. / Ershkov, Sergey; Prosviryakov, Evgeniy; Leshchenko, Dmytro и др.
в: Mathematical Methods in the Applied Sciences, Том 46, № 18, 01.12.2023, стр. 19364-19376.

Результаты исследований: Вклад в журнал › Статья › Рецензирование

Harvard

Ershkov, S, Prosviryakov, E, Leshchenko, D & Burmasheva, N 2023, 'Semianalytical findings for the dynamics of the charged particle in the Störmer problem', Mathematical Methods in the Applied Sciences, Том. 46, № 18, стр. 19364-19376. https://doi.org/10.1002/mma.9631

APA

Ershkov, S., Prosviryakov, E., Leshchenko, D., & Burmasheva, N. (2023). Semianalytical findings for the dynamics of the charged particle in the Störmer problem. Mathematical Methods in the Applied Sciences, 46(18), 19364-19376. https://doi.org/10.1002/mma.9631

Vancouver

Ershkov S, Prosviryakov E, Leshchenko D, Burmasheva N. Semianalytical findings for the dynamics of the charged particle in the Störmer problem. Mathematical Methods in the Applied Sciences. 2023 дек. 1;46(18):19364-19376. doi: 10.1002/mma.9631

Author

Ershkov, Sergey ; Prosviryakov, Evgeniy ; Leshchenko, Dmytro и др. / Semianalytical findings for the dynamics of the charged particle in the Störmer problem. в: Mathematical Methods in the Applied Sciences. 2023 ; Том 46, № 18. стр. 19364-19376.

BibTeX

@article{f6a22a28bd2d44ad93a814594e72b2d3,
title = "Semianalytical findings for the dynamics of the charged particle in the St{\"o}rmer problem",
abstract = "In this semianalytical research, we present a new ansatz in solving the St{\"o}rmer problem with numerical findings in graphical representations of solutions where dynamics of the charged particle in the classical dipole magnetic field (here, Earth's magnetic field) was investigated in detail. We have fully solved the St{\"o}rmer problem for partial class of the charged particle's motion close to the equatorial plane of Earth; this result is the main important theoretical finding presented here with prescribed symmetry. Aforementioned motions, determined by Lorentz force in nonrelativistic case, thereby are explored in polar coordinates to present them in a quasi-periodic motions in a general case (in equatorial plane of Earth). Thus, the system of momentum equations has been successfully solved numerically or semianalytically in each case and the resulting semianalytical solving algorithm can clarify the quasi-periodic structure of such family of solutions (with reduction of their geometric symmetry around the Earth in an equatorial plane). ",
author = "Sergey Ershkov and Evgeniy Prosviryakov and Dmytro Leshchenko and Natalya Burmasheva",
year = "2023",
month = dec,
day = "1",
doi = "10.1002/mma.9631",
language = "English",
volume = "46",
pages = "19364--19376",
journal = "Mathematical Methods in the Applied Sciences",
issn = "0170-4214",
publisher = "John Wiley & Sons Inc.",
number = "18",

}

RIS

TY - JOUR

T1 - Semianalytical findings for the dynamics of the charged particle in the Störmer problem

AU - Ershkov, Sergey

AU - Prosviryakov, Evgeniy

AU - Leshchenko, Dmytro

AU - Burmasheva, Natalya

PY - 2023/12/1

Y1 - 2023/12/1

N2 - In this semianalytical research, we present a new ansatz in solving the Störmer problem with numerical findings in graphical representations of solutions where dynamics of the charged particle in the classical dipole magnetic field (here, Earth's magnetic field) was investigated in detail. We have fully solved the Störmer problem for partial class of the charged particle's motion close to the equatorial plane of Earth; this result is the main important theoretical finding presented here with prescribed symmetry. Aforementioned motions, determined by Lorentz force in nonrelativistic case, thereby are explored in polar coordinates to present them in a quasi-periodic motions in a general case (in equatorial plane of Earth). Thus, the system of momentum equations has been successfully solved numerically or semianalytically in each case and the resulting semianalytical solving algorithm can clarify the quasi-periodic structure of such family of solutions (with reduction of their geometric symmetry around the Earth in an equatorial plane).

AB - In this semianalytical research, we present a new ansatz in solving the Störmer problem with numerical findings in graphical representations of solutions where dynamics of the charged particle in the classical dipole magnetic field (here, Earth's magnetic field) was investigated in detail. We have fully solved the Störmer problem for partial class of the charged particle's motion close to the equatorial plane of Earth; this result is the main important theoretical finding presented here with prescribed symmetry. Aforementioned motions, determined by Lorentz force in nonrelativistic case, thereby are explored in polar coordinates to present them in a quasi-periodic motions in a general case (in equatorial plane of Earth). Thus, the system of momentum equations has been successfully solved numerically or semianalytically in each case and the resulting semianalytical solving algorithm can clarify the quasi-periodic structure of such family of solutions (with reduction of their geometric symmetry around the Earth in an equatorial plane).

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U2 - 10.1002/mma.9631

DO - 10.1002/mma.9631

M3 - Article

VL - 46

SP - 19364

EP - 19376

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

SN - 0170-4214

IS - 18

ER -

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