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  • 1
    Publication Date: 2017-10-01
    Print ISSN: 0021-9045
    Electronic ISSN: 1096-0430
    Topics: Mathematics
    Published by Elsevier
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  • 2
    Publication Date: 2023-01-23
    Description: The Earth’s magnetic field traps charged particles which are transported longitudinally around Earth, generating a near-circular current, known as the ring current. While the ring current has been measured on the ground and space for many decades, the enhancement of the ring current during geomagnetic storms is still not well understood, due to many processes contributing to its dynamics on different time scales. Here, we show that existing ring current models systematically overestimate electron flux observations of 10–50 keV on the nightside during storm onset. By analyzing electron drift trajectories, we show that this systematic overestimation of flux can be explained through a missing loss process which operates in the pre-midnight sector. Quantifying this loss reveals that the theoretical upper limit of loss has to be reached over a broad region of space in order to reproduce the observations. This missing loss may be attributed to inaccuracies in the parameterization of the loss due to chorus wave interactions, combined with the scattering by electrostatic electron cyclotron harmonic waves which is currently not included in ring current models.
    Type: info:eu-repo/semantics/article
    Format: application/pdf
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  • 3
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    In:  Frontiers in Astronomy and Space Sciences
    Publication Date: 2022-07-15
    Description: Predicting the electron population of Earth’s ring current during geomagnetic storms still remains a challenging task. In this work, we investigate the sensitivity of 10 keV ring current electrons to different driving processes, parameterised by the Kp index, during several moderate and intense storms. Results are validated against measurements from the Van Allen Probes satellites. Perturbing the Kp index allows us to identify the most dominant processes for moderate and intense storms respectively. We find that during moderate storms (Kp 〈 6) the drift velocities mostly control the behaviour of low energy electrons, while loss from wave-particle interactions is the most critical parameter for quantifying the evolution of intense storms (Kp 〉 6). Perturbations of the Kp index used to drive the boundary conditions at GEO and set the plasmapause location only show a minimal effect on simulation results over a limited L range. It is further shown that the flux at L ∼ 3 is more sensitive to changes in the Kp index compared to higher L shells, making it a good proxy for validating the source-loss balance of a ring current model.
    Language: English
    Type: info:eu-repo/semantics/article
    Format: application/pdf
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  • 4
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    In:  Journal of Mathematical Analysis and Applications
    Publication Date: 2022-02-11
    Description: By exploiting the Fueter theorem, we give new formulas to compute zonal harmonic functions in any dimension. We first give a representation of them as a result of a suitable ladder operator acting on a constant function. Then, inspired by recent work of A. Perotti, using techniques from slice regularity, we derive explicit expressions for zonal harmonics starting from the 2 and 3 dimensional cases. It turns out that all zonal harmonics in any dimension are related to the real part of powers of the standard Hermitian product in C. At the end we compare formulas, obtaining interesting equalities involving the real part of positive and negative powers of the standard Hermitian product. In the two appendices we show how our computations are optimal compared to direct ones.
    Type: info:eu-repo/semantics/article
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  • 5
    Publication Date: 2023-08-02
    Description: The PAGER project provides space weather predictions that are initiated from observations on the Sun and predicts radiation in space and its effects on satellite infrastructure. Real-time predictions and a historical record of the dynamics of the cold plasma density and ring current allow for evaluation of surface charging, and predictions of the relativistic electron fluxes allow for the evaluation of deep dielectric charging. The project provides a 1-2 day probabilistic forecast of ring current and radiation belt environments, which will allow satellite operators to respond to predictions that present a significant threat. As a backbone of the project, we use the most advanced codes that currently exist and adapt existing codes to perform ensemble simulations and uncertainty quantifications. This project includes a number of innovative tools including data assimilation and uncertainty quantification, new models of near-Earth electromagnetic wave environment, ensemble predictions of solar wind parameters at L 1, and data-driven forecast of the geomangetic Kp index and plasma density. Our developed codes may be used in the future for realistic modelling of extreme space weather events. The PAGER consortium is made up of leading academic and industry experts in space weather research, space physics, empirical data modelling, and space environment effects on spacecraft from Europe and the US.
    Language: English
    Type: info:eu-repo/semantics/conferenceObject
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  • 6
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    In:  XXVIII General Assembly of the International Union of Geodesy and Geophysics (IUGG)
    Publication Date: 2023-07-27
    Description: Ring current particles, which are heavily influenced by geomagnetic activity, excite plasmawaves (e.g., EMIC, chorus etc) and affect the terrestrial magnetospheric configuration, which modifies particle trajectories. During geomagnetic storms, specifically the recovery phase, the ring current becomes disturbed and decays via various loss processes (e.g., charge exchange, Coulomb collisions, and EMIC wave scattering). These disturbances in the ring current contribute significantly to the development of the Dst index. Since the ring current plays a crucial role in magnetospheric dynamics through its spatial and temporal evolution, understanding how it impacts the Dst index remains an ongoing topic of research.In this study, we present the first simulation results of the ring current using the Versatile near-Earth environment of Radiation Belts and ring current - 4D (VERB-4D) code, peviously known as the Versatile Electron Radiation Belt - 4D code. Our simulations are compared to the Van Allen Probes HOPE and RBSPICE during a geomagnetic storm on March 17, 2013. We study the evolution of the MLT-resolved and average Dst index during the storm‘s recovery phase while examining the relative contributions of charge exchange, Coulomb drag, and radial diffusion.
    Language: English
    Type: info:eu-repo/semantics/conferenceObject
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  • 7
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    In:  XXVIII General Assembly of the International Union of Geodesy and Geophysics (IUGG)
    Publication Date: 2023-08-30
    Description: The ring current in the Earth's magnetosphere plays a crucial role in geospace and atmospheric dynamics, as its particle flux is strongly enhanced during geomagnetic active times. Predicting these enhancements is crucial for understanding the impacts of geomagnetic storms on the Earth's magnetic field, geospace, and atmosphere, and for mitigating the hazards they pose to spacecraft. However, current simulations of intense geomagnetic storms often overestimate the electron flux on the nightside close to Earth. By investigating this discrepancy and analyzing the electrons’ drift trajectories, we find that the overestimation is caused by insufficient amount of electron loss. This is validated by comparing the predicted and measured precipitating electron flux into the atmosphere. We find that the most likely cause for the lack of electron loss are inaccuracies in the description of scattering, associated with chorus waves and electrostatic electron cyclotron harmonic waves, which are currently not included in ring current models. Our findings emphasize the importance of improving our understanding and modeling of the ring current to accurately simulate the dynamics of particles in this region.
    Language: English
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  • 8
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    In:  XXVIII General Assembly of the International Union of Geodesy and Geophysics (IUGG)
    Publication Date: 2023-06-08
    Description: This study presents a systematic analysis of ion flow, and accompanying electric and magnetic fields, from the Space Weather Modeling Framework (SWMF). Inside of 10 R_E the flow speeds are typically under 50 km/s during quiet and moderate driving conditions, but fast flows well in excess of 100 km/s regularly develop during the main phase of storm intervals. In particular, a strong sunward flow is seen in the simulation results, at various places in the near-Earth tail region and near the terminator plane, between 5 and 12 R_E. These regions (extending from the nightside around both dawn and dusk flanks) can have persistent flows over 200 km/s, confined near the equatorial plane and with local electric fields in excess of 10 mV/m. They seem to be fairly persistent and exist in regions of low plasma pressure; the inclusion or exclusion of an inner magnetospheric drift physics model does not significantly alter there timing, location, or intensity. As the driving diminishes, so do these fast flows. The field lines are clearly not electric equipotentials during these intervals, with a peak electric field at the equatorial plane (rather than the ionosphere, as equipotential mapping would dictate). The features and physics of these fast flows are presented and discussed. Comparisons are made against flow and field measurements from various spacecraft, like the Van Allen Probes, GOES, THEMIS, and MMS, showing that, occasionally, signatures like this flow feature exist in the data, but not on such a regular basis as in the code results.
    Language: English
    Type: info:eu-repo/semantics/conferenceObject
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  • 9
    Publication Date: 2023-10-30
    Description: The Prediction of Adverse effects of Geomagnetic storms and Energetic Radiation project (PAGER) aims to provide a framework for space weather and related effects forecasts. One of the innovative concepts is to plug, downstream of the environment prediction models, an automatized chain evaluating both surface and internal charging to forecast a charging risk evaluation for spacecraft on GEO and MEO orbits. The evaluation of the internal charging risk induced by electrons of the radiation belts with an energy above 0.5 MeV, is carried out throughout an innovating approach, combining different charging models, downstream the environmental ones. The space weather forecast is provided by a simulation of the radiation belt performed with VERB-3D. Downstream, the charging analysis is mainly performed using SPIS-IC, the internal charging branch of the open-source SPIS software (Spacecraft Plasma Interaction Software). SPIS-IC requires the prior computation of the source terms of space charge and dose rates resulting from the transport of primary electrons through the spacecraft structure. This is done beforehand using a 3D direct Monte-Carlo approach. In addition, a simple and fast internal charging 1D code, ICOne has been developed and is also used to evaluate the internal charging risk, based on a semi-empirical deposition rule. The internal charging modeling chain is used to carry out on one hand an evaluation of the electrical risk on a satellite in MEO orbit surrounded by an environment simulated by the VERB-3D Fokker-Plank code, and on the other hand, to reproduce measurements of a charging event of GIOVE-A.
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  • 10
    Publication Date: 2023-12-11
    Description: The particle flux in the near-Earth environment can increase by orders of magnitude during geomagnetically active periods. This leads to intensification of particle precipitation into Earth's atmosphere. The process potentially further affects atmospheric chemistry and temperature. In this research, we concentrate on ring current electrons and investigate precipitation mechanisms on a time scale comparable to the cadence of satellites on low Earth orbit (LEO) using a numerical model based on the Fokker-Planck equation. We focus on investigation of the precipitation mechanisms and their connection with atmospheric parameters. In this study, we investigate a time period that covers 4 corotating interaction region (CIR) and 2 coronal mass ejection (CME) storm events. For all storms we quantify impact on the electron ring current and the resulting electron precipitation. Our results are validated against observations from the POES satellite mission, low Earth orbiting meteorological satellites, and Van Allen Probes, producing a dataset of precipitated fluxes that covers energy range from 1 keV to 1 MeV. Maps of precipitating fluxes for different energies allow us to understand in which regions on Earth precipitation is the most intensive. The output of the model is further used for calculation of ionization rates at different altitudes, allowing it to estimate effects of geomagnetically active periods on chemical and physical variability near the poles.
    Language: English
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