ГЕНЕРАЦІЯ МАГНІТОГІДРОДИНАМІЧНИХ ХВИЛЬ У СПРОЩЕНІЙ МОДЕЛІ МАГНІТОСФЕРНОГО ХВОСТА ЗЕМЛІ
The main attention is paid to the construction of a mathematical model and the description of methods for studying magnetohydrodynamic (MHD) waves propagating in the «tail» of the Earth’s magnetic field. These waves, in contrast to MHD waves, which propagate near the closed part of the Earth’s magne...
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| Datum: | 2025 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
V.M. Glushkov Institute of Cybernetics of NAS of Ukraine
2025
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| Schlagworte: | |
| Online Zugang: | https://jais.net.ua/index.php/files/article/view/696 |
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| Назва журналу: | Problems of Control and Informatics |
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Problems of Control and Informatics| Zusammenfassung: | The main attention is paid to the construction of a mathematical model and the description of methods for studying magnetohydrodynamic (MHD) waves propagating in the «tail» of the Earth’s magnetic field. These waves, in contrast to MHD waves, which propagate near the closed part of the Earth’s magnetic field, have been little studied. The complexity of the description of these waves is associated with the configuration of the magnetic field inside the plasma layer of the magnetospheric «tail». In this work, we consider the system «flat plasma layer» — an external moving plasma, which allows obtaining analytical results in a finished form. For the model of a «flat» plasma layer, equations of small oscillations are obtained both inside the layer and outside it, using the theory of features of differentiable mappings (catastrophe theory), the stability of their existence is considered. The dispersion equation for perturbations of the magnetic field is found, which takes into account the compressibility of the plasma medium. Using this equation, the problem of the propagation of MHD waves inside and outside the plasma layer in the solar wind is analyzed. It has been established that in the plasma layer (analogue of the magnetosphere) stable waves can be present that are not connected with the solar wind surrounding it. In the flow (the solar wind) surrounding the plasma layer, excitations that are associated with disturbances inside the geomagnetic tail do not occur. This can be explained by the sparseness and huge speed of the solar wind. Thus, the magnetic storms that arise due to the considered disturbances in the Earth’s atmosphere owe their origin to coronary ejections of the mass of the Sun.
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