An Empirical Model of the Equatorial Electron Pitch Angle Distributions in Earth's Outer Radiation Belt

Abstract In this study, we present an empirical model of the equatorial electron pitch angle distributions (PADs) in the outer radiation belt based on the full data set collected by the Magnetic Electron Ion Spectrometer (MagEIS) instrument onboard the Van Allen Probes in 2012–2019. The PADs are fit...

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Main Authors: Artem Smirnov, Yuri Y. Shprits, Hayley Allison, Nikita Aseev, Alexander Drozdov, Peter Kollmann, Dedong Wang, Anthony Saikin
Format: Article
Language:English
Published: Wiley 2022-09-01
Series:Space Weather
Subjects:
Online Access:https://doi.org/10.1029/2022SW003053
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author Artem Smirnov
Yuri Y. Shprits
Hayley Allison
Nikita Aseev
Alexander Drozdov
Peter Kollmann
Dedong Wang
Anthony Saikin
author_facet Artem Smirnov
Yuri Y. Shprits
Hayley Allison
Nikita Aseev
Alexander Drozdov
Peter Kollmann
Dedong Wang
Anthony Saikin
author_sort Artem Smirnov
collection DOAJ
description Abstract In this study, we present an empirical model of the equatorial electron pitch angle distributions (PADs) in the outer radiation belt based on the full data set collected by the Magnetic Electron Ion Spectrometer (MagEIS) instrument onboard the Van Allen Probes in 2012–2019. The PADs are fitted with a combination of the first, third and fifth sine harmonics. The resulting equation resolves all PAD types found in the outer radiation belt (pancake, flat‐top, butterfly and cap PADs) and can be analytically integrated to derive omnidirectional flux. We introduce a two‐step modeling procedure that for the first time ensures a continuous dependence on L, magnetic local time and activity, parametrized by the solar wind dynamic pressure. We propose two methods to reconstruct equatorial electron flux using the model. The first approach requires two uni‐directional flux observations and is applicable to low‐PA data. The second method can be used to reconstruct the full equatorial PADs from a single uni‐ or omnidirectional measurement at off‐equatorial latitudes. The model can be used for converting the long‐term data sets of electron fluxes to phase space density in terms of adiabatic invariants, for physics‐based modeling in the form of boundary conditions, and for data assimilation purposes.
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spelling doaj-art-dd99455f92e54a77be1a572dac6c062e2025-01-14T16:31:13ZengWileySpace Weather1542-73902022-09-01209n/an/a10.1029/2022SW003053An Empirical Model of the Equatorial Electron Pitch Angle Distributions in Earth's Outer Radiation BeltArtem Smirnov0Yuri Y. Shprits1Hayley Allison2Nikita Aseev3Alexander Drozdov4Peter Kollmann5Dedong Wang6Anthony Saikin7Helmholtz Centre Potsdam GFZ German Research Centre for Geosciences Potsdam GermanyHelmholtz Centre Potsdam GFZ German Research Centre for Geosciences Potsdam GermanyHelmholtz Centre Potsdam GFZ German Research Centre for Geosciences Potsdam GermanyHelmholtz Centre Potsdam GFZ German Research Centre for Geosciences Potsdam GermanyDepartment of Earth, Planetary and Space Sciences University of California Los Angeles CA USAApplied Physics Laboratory Johns Hopkins University Laurel MD USAHelmholtz Centre Potsdam GFZ German Research Centre for Geosciences Potsdam GermanyDepartment of Earth, Planetary and Space Sciences University of California Los Angeles CA USAAbstract In this study, we present an empirical model of the equatorial electron pitch angle distributions (PADs) in the outer radiation belt based on the full data set collected by the Magnetic Electron Ion Spectrometer (MagEIS) instrument onboard the Van Allen Probes in 2012–2019. The PADs are fitted with a combination of the first, third and fifth sine harmonics. The resulting equation resolves all PAD types found in the outer radiation belt (pancake, flat‐top, butterfly and cap PADs) and can be analytically integrated to derive omnidirectional flux. We introduce a two‐step modeling procedure that for the first time ensures a continuous dependence on L, magnetic local time and activity, parametrized by the solar wind dynamic pressure. We propose two methods to reconstruct equatorial electron flux using the model. The first approach requires two uni‐directional flux observations and is applicable to low‐PA data. The second method can be used to reconstruct the full equatorial PADs from a single uni‐ or omnidirectional measurement at off‐equatorial latitudes. The model can be used for converting the long‐term data sets of electron fluxes to phase space density in terms of adiabatic invariants, for physics‐based modeling in the form of boundary conditions, and for data assimilation purposes.https://doi.org/10.1029/2022SW003053pitch angleradiation beltmodelmagnetospherevan allen probeselectrons
spellingShingle Artem Smirnov
Yuri Y. Shprits
Hayley Allison
Nikita Aseev
Alexander Drozdov
Peter Kollmann
Dedong Wang
Anthony Saikin
An Empirical Model of the Equatorial Electron Pitch Angle Distributions in Earth's Outer Radiation Belt
Space Weather
pitch angle
radiation belt
model
magnetosphere
van allen probes
electrons
title An Empirical Model of the Equatorial Electron Pitch Angle Distributions in Earth's Outer Radiation Belt
title_full An Empirical Model of the Equatorial Electron Pitch Angle Distributions in Earth's Outer Radiation Belt
title_fullStr An Empirical Model of the Equatorial Electron Pitch Angle Distributions in Earth's Outer Radiation Belt
title_full_unstemmed An Empirical Model of the Equatorial Electron Pitch Angle Distributions in Earth's Outer Radiation Belt
title_short An Empirical Model of the Equatorial Electron Pitch Angle Distributions in Earth's Outer Radiation Belt
title_sort empirical model of the equatorial electron pitch angle distributions in earth s outer radiation belt
topic pitch angle
radiation belt
model
magnetosphere
van allen probes
electrons
url https://doi.org/10.1029/2022SW003053
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