Ring current decay time model during geomagnetic storms: a simple analytical approach

The ring current growth and decay, characterized by the <I>D<sub>st</sub></I> index, has been studied for thirty years using the Burton et al. (1975) equation. The original formula is based on the restriction of the DPS (Dessler, Parker, and Schoppke) theorem and assuming a...

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Main Authors: R. Monreal MacMahon, C. Llop-Romero
Format: Article
Language:English
Published: Copernicus Publications 2008-09-01
Series:Annales Geophysicae
Online Access:https://www.ann-geophys.net/26/2543/2008/angeo-26-2543-2008.pdf
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author R. Monreal MacMahon
C. Llop-Romero
author_facet R. Monreal MacMahon
C. Llop-Romero
author_sort R. Monreal MacMahon
collection DOAJ
description The ring current growth and decay, characterized by the <I>D<sub>st</sub></I> index, has been studied for thirty years using the Burton et al. (1975) equation. The original formula is based on the restriction of the DPS (Dessler, Parker, and Schoppke) theorem and assuming a constant decay time of particles. The decay time scale is important because the energy injection rate cannot be determined it without the knowledge of this parameter. In a previous work, instead of using a constant value, we introduced the decay time of particles in the energy rate balance equation as a continuous function of the absolute value of the pressure corrected <I>D<sub>st</sub></I> index to avoid the reported discontinuities determining it. Here, based on the DPS restriction, we extend our previous empirical work to obtain analytically the proposed continuous function considering losses due to a global resistive force as a product of viscous-like, and other related dissipation processes. We test our model predicting <I>D<sub>st</sub></I> for a couple of specific storm events and also comparing our results with forecasts of a good reference model appeared in the literature.
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spelling doaj.art-3e58dabd104f4a9eb65cac869bf717652022-12-21T22:39:55ZengCopernicus PublicationsAnnales Geophysicae0992-76891432-05762008-09-01262543255010.5194/angeo-26-2543-2008Ring current decay time model during geomagnetic storms: a simple analytical approachR. Monreal MacMahon0C. Llop-Romero1University of Magallanes, CEQUA, Space Physics Lab, Casilla 113-D, Punta Arenas, ChileUniversity of Magallanes, CEQUA, Space Physics Lab, Casilla 113-D, Punta Arenas, ChileThe ring current growth and decay, characterized by the <I>D<sub>st</sub></I> index, has been studied for thirty years using the Burton et al. (1975) equation. The original formula is based on the restriction of the DPS (Dessler, Parker, and Schoppke) theorem and assuming a constant decay time of particles. The decay time scale is important because the energy injection rate cannot be determined it without the knowledge of this parameter. In a previous work, instead of using a constant value, we introduced the decay time of particles in the energy rate balance equation as a continuous function of the absolute value of the pressure corrected <I>D<sub>st</sub></I> index to avoid the reported discontinuities determining it. Here, based on the DPS restriction, we extend our previous empirical work to obtain analytically the proposed continuous function considering losses due to a global resistive force as a product of viscous-like, and other related dissipation processes. We test our model predicting <I>D<sub>st</sub></I> for a couple of specific storm events and also comparing our results with forecasts of a good reference model appeared in the literature.https://www.ann-geophys.net/26/2543/2008/angeo-26-2543-2008.pdf
spellingShingle R. Monreal MacMahon
C. Llop-Romero
Ring current decay time model during geomagnetic storms: a simple analytical approach
Annales Geophysicae
title Ring current decay time model during geomagnetic storms: a simple analytical approach
title_full Ring current decay time model during geomagnetic storms: a simple analytical approach
title_fullStr Ring current decay time model during geomagnetic storms: a simple analytical approach
title_full_unstemmed Ring current decay time model during geomagnetic storms: a simple analytical approach
title_short Ring current decay time model during geomagnetic storms: a simple analytical approach
title_sort ring current decay time model during geomagnetic storms a simple analytical approach
url https://www.ann-geophys.net/26/2543/2008/angeo-26-2543-2008.pdf
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AT cllopromero ringcurrentdecaytimemodelduringgeomagneticstormsasimpleanalyticalapproach