Interpretation of the energy spectrum and time dynamics of electron fluxes with energies of 0.8–6.0 MeV in geostationary orbit during the recovery phase of the magnetic storm of April 6, 2000

The electron energy spectrum in the energy range of 0.8–6.0 MeV and the time dynamics of electron fluxes during the prolonged (～10 days) recovery phase of the magnetic storm of April 6, 2000, have been analyzed using the Express-A2 geostationary satellite data. These data have been interpreted based on the analytical solution to the nonstationary equation for the particle distribution function taking into account statistical acceleration and catastrophic particle escape from the acceleration region.     

Effect of acceleration and loss rates on time variations in energetic electron fluxes during geomagnetic disturbances

The general properties of the effect of the acceleration and loss rate on the time variations in relativistic electron fluxes have been studied based on the analytical solutions to the nonstationary equation for the particle distribution function, taking into account diffusion in the momentum space (stochastic acceleration) and loss (due to particle escape from the acceleration region). The results of calculating the time variations in the fluxes of electrons with energies of 1 MeV are presented for different ratios of the loss-to-acceleration rates. The cases of instantaneous and prolonged injection of low-energy particles are considered. It has been proposed to estimate the acceleration and loss rate effectiveness based on the observed electron flux decrease rate at the end of the magnetic storm recovery phase.     

Indicators of an increase in the flux of relativistic electrons in geostationary orbit during geomagnetic storms

The relation of the fluxes of relativistic electrons in geostationary orbit during magnetic storms to the state of the magnetosphere and variations in the solar wind parameters is studied based on the GOES satellite data (1996–2000). It has been established that, in ～52–65% of all storms, the fluxes of electrons with energies higher than 0.6 and 2 MeV during the storm recovery phase are more than twice as high as the electron fluxes before a storm. It has been indicated that the probability of such cases is closely related to the prestorm level of fluxes and to a decrease in fluxes during the storm main phase. It has been found that the solar wind velocity on the day of the storm main phase and the geomagnetic activity indices at the beginning of the storm recovery phase are also among the best indicators of occurrence of storms with increased fluxes at the storm recovery phase.     

Development of geomagnetic storm in VLF noise

The complex geophysical pattern of the development of geomagnetic storm in VLF emissions has been studied based on the satellite data. It has been established that the variations in the LF noise emission intensity (0.1–20.0 kHz) and the energetic electron (E ≥ 40 keV) flux density reflect the processes of magnetospheric plasma reconstruction during geomagnetic disturbances. It has been indicated that a distinct structure of the inner and outer radiation belts is observed under quiet conditions, and the VLF emission maximum was registered at L = 4–5. The inner boundary of the outer radiation belt shifted to lower latitudes, the intensity of the noise VLF emissions increased, and the intensity maximum was displaced to L = 2.5–3.5 during the geomagnetic storm, when the energetic electron flux density increased. The VLF noise spectrum widened toward higher frequencies. The VLF noise level continued increasing, the noise maximum shifted to L = 4–5, and the fluxes of precipitating electrons abruptly increased during the storm recovery phase, when the density of the flux of quasitrapped electrons remained increased for a long time.     

Outer radiation belt of relativistic electrons during the minimum of the 23rd solar cycle

The data on fluxes of electrons with energy Ee > 1 MeV and on radiation doses under the Al shielding of about 2 g/cm² measured on the GLONASS satellite (circular orbit with altitude 20000 km and inclination 65°) for the period from December 2006 through May 2010 are analyzed. The minimum of the 23rd solar cycle turned out to be the longest for all over the space exploration age. Consequently, average semiannual electron fluxes and daily radiation doses are showing the decrease by more than an order of magnitude in comparison with the levels observed in 2007. We present an example of a diffusion wave of relativistic electrons; the wave develops in a period between magnetic storms. This process may result in a significant increase of the radiation dose measured in the orbit, even under the conditions of weak geomagnetic disturbances. The dynamics of variations in relativistic electron fluxes during the magnetic storm of April 5?C6, 2010, is discussed so far as this is the first strong flux enhancement in the 24th solar cycle.     

Dependence of the relativistic electron energy spectra during the magnetic storm recovery phase on the acceleration and loss rates

The dependence of the particle energy spectra on the acceleration and loss rates is studied based on the analytical solutions to the equation for the particle distribution function, taking into account diffusion in the momentum space (stochastic acceleration) and loss (due to particle escape from the acceleration region). The energy spectra and time dynamics of the MeV electron fluxes, observed based on the geostationary satellite data during the prolonged recovery phases of the known magnetic storms of June 11, 1980 and November 3–4, 1993, have been analytically described. The acceleration and loss rates have been estimated for these storms. A comparison is performed with the preciously studied energy spectra of MeV electrons and with the acceleration and loss rates during the recovery phases of the magnetic storms of January 10, 1997, and April 6, 2000.     

Responses of geostationary orbit energetic electron fluxes to chorus waves under different geomagnetic conditions

We investigate the flux evolution of geostationary orbit energetic electrons during a strong storm on 24 August 2005(event A,the storm index Dst<200 nT,the average substorm index AE=436 nT)and a weak storm on 28 October 2006(event B,Dst>50 nT,average AE=320 nT).Data collected by LANL and GOES-12 satellites show that energetic electron fluxes increase by a factor of 10 during the recovery phase compared to the prestorm level for both events A and B.As the substorm continued,the Cluster C4 satellite observed strong whistler-mode chorus waves(with spectral density approaching 10 5nT2/Hz).The wave amplitude correlates with the substorm AE index,but is less correlated with the storm Dst index.Using a Gaussian distribution fitting method,we solve the Fokker-Planck diffusion equation governing the wave-particle interaction.Numerical results demonstrate that chorus waves efficiently accelerate~1 MeV energetic electrons,particularly at high pitch angles.The calculated acceleration time scale and amplitude are comparable to observations.Our results provide new observational support for chorus-driven acceleration of radiation belt energetic electrons.     

Precipitation of energetic electrons and Pi3 geomagnetic pulsations at polar latitudes

Precipitation of electrons with energies of 0.3–1.5 MeV has been analyzed based on the CORONAL-F satellite data at polar latitudes of the Northern Hemisphere on December 13, 2003. The instants of electron precipitation have been compared with the ground-based observations of geomagnetic disturbances and auroras near the satellite orbit projection. It has been indicated that precipitation of energetic electrons in the high-latitude nightside sector is accompanied by the simultaneous development of bay-like magnetic field disturbances on the Earth’s surface and the appearance of riometer absorption bursts and Pi3 geomagnetic pulsations, and auroras.     

Magnetic storm acceleration of radiation belt electrons observed by the Scintillating Fibre Detector (SFD) onboard EQUATOR-S

On the basis of the currents induced by electron fluxes in the Scintillating Fibre Detector (SFD) onboard the EQUATOR-S satellite launched on 2 December 1997, an in-situ acceleration of radiation belt electrons is found to possibly contribute to the increase of the flux of electrons with energies greater than 400 keV. The data acquired between 16 December 1997 and 30 April 1998 on the 500–67300 km, 4° inclination EQUATOR-S orbit show that the increase of the energetic electron flux corresponds to the enhanced geomagnetic activity measured through the Dst index.     

Experimental evidence for direct penetration of ULF waves from the solar wind and their possible effect on acceleration of radiation belt electrons

The event of March 12–19, 2009, when a moderately high-speed solar wind stream flew around the Earth’s magnetosphere and carried millihertz ultralow-frequency (ULF) waves, has been analyzed. The stream caused a weak magnetic storm (D _{st min} = −28 nT). Since March 13, fluxes of energetic (up to relativistic) electrons started increasing in the magnetosphere. Comparison of the spectra of ULF oscillations observed in the solar wind and magnetosphere and on the Earth’s surface indicated that a stable common spectral peak was present at frequencies of 3–4 mHz. This fact is interpreted as evidence that waves penetrated directly from the solar wind into the magnetosphere. Possible scenarios describing the participation of oscillations in the acceleration of medium-energy (E > 0.6 MeV) and high-energy (E > 2.0 MeV) electrons in the radiation belt are discussed. Based on comparing the event with the moderate magnetic storm of January 21–22, 2005, we concluded that favorable conditions for analyzing the interaction between the solar wind and the magnetosphere are formed during a deep minimum of solar activity.     

Solar proton increases and dynamics of the electron outer radiation belt during solar events in December 2006

Increases in solar protons and variations in the electron and proton fluxes from the outer radiation belt are studied based on the GLONASS satellite measurements (the circular orbit at an altitude of ～20000 km with an inclination of ～65°) performed in December 2006. Indications in the channels, registered protons with energies of Ep = 3–70 MeV and electrons with energies of Ee > 0.04 and >0.8 MeV, are analyzed. The data on electrons with Ee = 0.8–1.2 MeV, measured on the Express-A3 geostationary satellite, are also presented. Before the strong magnetic storm of December 14 (|Dst|_max = 146 nT), the maximum of the outer belt electrons with the energy >0.7 MeV was observed at L ～ 4.5. After the storm, the fluxes of these electrons increased by more than an order of magnitude as compared to the prestorm level, and the maximum of a “new” belt shifted to L < 4 (minimal L reached by the GLONASS orbit). Under quiet geomagnetic conditions, solar protons with the energies >3 MeV fill only high-latitude legs of the GLONASS orbit. During the strong magnetic storm of December 15, the boundary of proton penetration into the magnetosphere almost merged with the orbital maximum of the proton radiation belt.     

Structure of the latitudinal profile of solar cosmic rays in the Earth’s magnetosphere during substorm activity on October 26–27, 2003

The structure of penetration of solar cosmic rays (SCRs) with energies of 1–100 MeV into the Earth’s magnetosphere before a strong magnetic storm of October 29–31, 2003, is studied based on the CORONAS-F satellite data. The effect of north-south asymmetry was observed in the polar caps for more than 12 h, which made it possible to study the dynamics of the boundary between the polar cap (the magnetotail) and the auroral zone (the quasi-trapping region). A previously unknown effect of dropouts in the SCR intensity latitudinal profile during the substorm active phases has been detected in the auroral magnetosphere. The mechanism by which dropouts are formed owing to the local distortion of the magnetic field line configuration, resulting in radial diffusion of particles from this region, has been proposed.     

Powerful nonstationary processes on the sun: Spatio-temporal structure and efficient particle acceleration

Data on high-energy processes on the Sun are summarized. We refine the classification of flares and substantiate the view that a coronal mass ejection and a flare proper are manifestations of the same common process, at least for the most powerful events. Next, we analyze data on the acceleration of electrons (RHESSI, Mars Odyssey) and protons. The existence of two peaks of hard X-ray emission spaced 10–20 min apart and the evolution of its spectra are shown to be indicative of two acceleration episodes. We have analyzed the spectra of 172 proton increases identified with the ratio of the proton fluxes at energies above 10 and 100 MeV near the Earth. These spectra turn out to be virtually the same for most of the large flares under favorable conditions for the escape of particles from the corona and their propagation in the interplanetary space. This is an argument for the invariance of the main features of efficient particle acceleration in powerful events. This process takes place at the explosive phase of a flare and its source is located low, immediately above the chromosphere, in the region adjacent to sunspots. There is a reason to believe that, in this case, a rapid simultaneous acceleration of electrons and protons takes place with the capture of some fraction of the particles into magnetic traps. However, there exist a few events in which an additional number of protons with energies as high as 10–30 MeV escape from the corona at the post-eruptive phase of flare development. Analysis of these cases with softer particle spectra more likely suggests an additional particle acceleration at coronal heights (about 30 000 km) than the facilitation of particle escape from magnetic traps. We estimate the contribution from the proton flux at an energy above 10 MeV arising at the post-eruptive phase of a flare to the total particle flux at the maximum of a proton increase and discuss possible particle acceleration mechanisms at significant coronal heights.     

Verification of magnetic field models based on measurements of solar cosmic ray protons in the magnetosphere

Measurements of solar cosmic ray (SCR) protons in the magnetosphere can be used to verify models of the Earth’s magnetic field. The latitudinal profiles of precipitating SCRs with energies of 1–90 MeV were measured on the CORONAS-F low-orbiting satellite during a strong magnetic storm on October 29–30, 2003. A flux of precipitating protons can remain equal to the interplanetary flux only due to a strong pitch angle diffusion that originates when the radius of the field line curvature is close to that of the particle rotation Larmor radius. The observed boundaries of the strong diffusion region can be compared with the boundaries anticipated according to the models of the magnetic field of the Earth’s magnetosphere. The adiabaticity parameter values, calculated for several instants of the CORONAS-F satellite pass based on the TS05 and parabolic models, do not always correspond to measurements. How possible changes in the model configurations of the magnetic field can allow us to eliminate discrepancies with the experiment and to explain why solar protons with energies of several megaelectronvolts penetrate deep in the Earth’s inner magnetosphere is considered here.     

Wave activity in the ionosphere during the geospace storm of November 7–10, 2004

This paper presents the results of studies of wave disturbances in the electron concentration N in the ionosphere during a prominent geospace storm, in the process of which the electron concentration decreased by a factor of 6–7, whereas the temperatures of ions and electrons at night increased up to 2000 and 3000 K, respectively. The height-time variations in the parameters of wave disturbances are also analyzed. It is shown that the geospace storm was accompanied by a substantial change in wave activity in the ionosphere. In the period of negative ionospheric storms, the amplitude Δ _N decreased by a factor of 2–10. At the same time, the relative amplitude δ _N = ΔN/N changed insignificantly and was within the limits 0.05–0.10 during day-time. At night, δ _N reached 0.25–0.30 and sometimes even 0.4–0.5. During both disturbed and undisturbed days, quasi-periodic processes with a period of 40–60 and 80–120 min prevailed. The maximum values of the absolute and relative amplitudes were achieved at a height of 200–270 km. A soliton-like disturbance formed near the main phase of the magnetic storm on November 10, 2004 was detected. Its appearance was related to the oblique coherent reflection of sounding signals.     

Local structures of electrons with energies of hundreds of keV in the inner belt and the slot region observed from the Vernov satellite

The structure and dynamics of electron fluxes of subrelativistic energies in the range 235–300 keV at L < 4 during December 3–8, 2014, are analyzed according to the RELEC instrument onboard the Vernov satellite. Sharp changes in the parameters of the solar wind and the IMF were detected on December 6, but they did not lead to a magnetic storm. However, after the event of December 6, subrelativistic electron fluxes in the inner belt and the slot region were enhanced and structured. The dynamics of electron fluxes in the local transient bursts at L ~ 1.5–1.7 is considered in detail. It is shown that these bursts are associated with the development of the cyclotron instability in the tops of magnetic flux tubes near the inner belt maximum. The electron anisotropic index is estimated in these bursts. It is shown that in the beginning these bursts are anisotropic and that they become isotropic as the decay proceeds. The most likely chain of physical mechanisms that could lead to variations in electron fluxes of the inner belt described in this paper is presented. For the first time, the topological effects in stationary distributions of the electrons of the inner belt observed at low altitudes in the South Atlantic Anomaly region are explained.     

Auroral electron precipitation when the trapped radiation region collapsed during the main phase of the geomagnetic storm of May 15, 2005

The simultaneous measurements of the boundary of the trapped radiation region, where auroral electrons precipitate, on the Meteor-3M satellite (the circular polar orbit at an altitude of ∼1000 km) and the westward electrojet dynamics during the main phase of a strong (Dst = −263 nT) magnetic storm that occurred on May 15, 2005, are analyzed. At the end of the first hour of the storm main phase, the nightside boundary of the trapped radiation region and the peak of the precipitating electron fluxes with a energies of ∼1 keV shifted toward the Earth to L ∼ 3. The westward electrojet center approached the same L shell. Near the boundary of the trapped radiation region, the auroral electron spectrum had the shape of typical inverted V. The differential spectrum maximum shifted to an energy of ∼100 eV, when the latitude decreased by ∼1°. The nightside boundary of the trapped radiation region, the electron precipitation equatorward boundary, and the westward electrojet center are compared with the known empirical dependences of the position of these structures on the Dst variation amplitude.     

Magnetic storms and their effects in the lower ionosphere: Differences in storms of various types

During magnetic storms (MS’s) in the ionospheric D region, changes in the electron density and corresponding effects on radiowave propagation are observed. The differences in manifestations of MS’s in the lower ionosphere are mainly caused by the time and spatial differences in precipitations of energetic electrons. It is shown that the observed differences in the effects of storms in the D region are related to the differences in the corresponding types of MS’s determined by the observed fluxes of energetic electrons (E ∼ 0.1–2 MeV) at L ≈ 3–8. The storm types are identified by changes in the geomagnetic ap and AE indices and the ap/Dst and AE/Dst ratios during the recovery phase of a storm.     

1998年4-5月地球同步轨道MeV电子通量增强事件

采用GOES9卫星观测的能量大于2MeV和大于4MeV电子通量和行星际飞船ACE太阳风参数的高时间分辨率资料,以及磁暴指数Dst资料,分析了1998年4-5月期间地球同步轨道电子通量增强事件的时间和能量响应特征及其与行星际太阳风参数、磁暴和亚暴等扰动条件的对应关系.结果表明,地球同步轨道相对论性（MeV）电子通量增强事件有明显的周日变化,中午极大和午夜极小.4月22日和5月5日开始的两次大事件中,能量大于2MeV电子通量中午极大值上升到最大值的时间尺度分别约为4天和1天,中午极大值高于背景水平的持续时间分别为13天（4月22日-5月4日）和16天（5月4日-20日）以上.每次MeV电子通量增强事件的能量范围不完全相同.两次大事件的上升段都对应于磁暴的恢复相,与太阳风动压脉冲、高速流脉冲和负Bz分量关系密切.     

Polar PWI and CEPPAD observations of chorus emissions and radiation belt electron acceleration: Four case studies

We investigated the role of whistler-mode chorus in accelerating outer radiation belt electrons during four moderate geomagnetic storms when data from the Polar Plasma Wave Investigation (PWI) were available. The storm time periods we examined included two storms associated with coronal mass ejections (CMEs), the well-studied January 10–13, 1997 International Solar Terrestrial Physics event and the May 12–15, 1997 event. We compared these two storms with two geomagnetically active periods that were not associated with CMEs. Although strong chorus emissions were observed during all four events, the association of electron acceleration with chorus emissions is not clear. During all four events, the Polar Comprehensive Energetic Particle and Pitch Angle Distribution (CEPPAD) experiment observed increases in the fluxes of energetic electrons (0.8<E<6.4 MeV). The two events associated with CMEs featured a sudden increase in the electron fluxes above 0.8 MeV that may have been related to the impact of the CME shock wave upon the magnetosphere. The other two events featured more gradual increases in the electron fluxes over a period of several days. The data from these events indicate that the role played by resonant interactions with chorus in accelerating electrons may depend on the upstream solar wind conditions driving the storm.