Ann. Geophys., 34, 943–959, 2016 www.ann-geophys.net/34/943/2016/ doi:10.5194/angeo-34-943-2016 © Author(s) 2016. CC Attribution 3.0 License. Evidence for transient, local ion foreshocks caused by dayside magnetopause reconnection Yann Pfau-Kempf1,2, Heli Hietala3, Steve E. Milan4, Liisa Juusola1, Sanni Hoilijoki1,2, Urs Ganse5,1, Sebastian von Alfthan6, and Minna Palmroth1 1Earth Observation, Finnish Meteorological Institute, Helsinki, Finland 2Department of Physics, University of Helsinki, Helsinki, Finland 3Department of Earth, Planetary, and Space Sciences, University of California, Los Angeles, USA 4Department of Physics and Astronomy, University of Leicester, Leicester, UK 5Department of Physics and Astronomy, University of Turku, Turku, Finland 6CSC, IT Center for Science, Espoo, Finland Correspondence to: Yann Pfau-Kempf (yann.kempf@helsinki.fi) Received: 20 May 2016 – Revised: 31 August 2016 – Accepted: 17 October 2016 – Published: 4 November 2016 Abstract. We present a scenario resulting in time-dependent behaviour of the bow shock and transient, local ion re- flection under unchanging solar wind conditions. Dayside magnetopause reconnection produces flux transfer events driving fast-mode wave fronts in the magnetosheath. These fronts push out the bow shock surface due to their in- creased downstream pressure. The resulting bow shock de- formations lead to a configuration favourable to localized ion reflection and thus the formation of transient, travelling foreshock-like field-aligned ion beams. This is identified in two-dimensional global magnetospheric hybrid-Vlasov sim- ulations of the Earth’s magnetosphere performed using the Vlasiator model (http://vlasiator.fmi.fi). We also present ob- servational data showing the occurrence of dayside recon- nection and flux transfer events at the same time as Geo- tail observations of transient foreshock-like field-aligned ion beams. The spacecraft is located well upstream of the fore- shock edge and the bow shock, during a steady southward interplanetary magnetic field and in the absence of any so- lar wind or interplanetary magnetic field perturbations. This indicates the formation of such localized ion foreshocks. Keywords. Interplanetary physics (planetary bow shocks) – magnetospheric physics (magnetosheath; solar wind– magnetosphere interactions) 1 Introduction The super-Alfvénic solar wind impinging upon the geomag- netic field is slowed down and diverted around the Earth by the bow shock which forms upstream of our planet. Most of the plasma is abruptly compressed and heated by the shock while being transported downstream into the magnetosheath. There, it flows along the magnetopause surface, which delim- its the magnetosphere, that is, the magnetic cavity in which the Earth is situated. Fluid theories such as ideal magnetohydrodynamics imply that no wave or matter can travel upstream from a shock. However, it is well-known observationally and explained by kinetic plasma theory that, given a high enough Mach number and a small enough angle θB−n between the up- stream magnetic field (B) and the shock normal direction (n) (θB−n/ 40–60◦, e.g. Greenstadt et al., 1980; Schwartz et al., 1983), a fraction of the incoming ions is reflected by the shock surface and streams back along the magnetic field direction. The region where such a backstreaming ion pop- ulation exists is called the ion foreshock. It is the stage for a variety of plasma beam instabilities generating waves and has been studied observationally as well as in simulations for several decades (e.g. Bavassano-Cattaneo et al., 1983; Sanderson et al., 1983; Thomsen et al., 1983; Fuselier et al., 1987; Le and Russell, 1992; Eastwood et al., 2005b; Burgess et al., 2012; Wilson et al., 2013). The value of θB−n allow- ing the reflection of particles is dependent on several factors, Published by Copernicus Publications on behalf of the European Geosciences Union. 944 Y. Pfau-Kempf et al.: Transient local foreshocks among which most notably is the assumed reflection mecha- nism, as the results of Greenstadt et al. (1980), for example, show. The bow shock under steady solar wind conditions is gen- erally assumed to be a simple surface such as a paraboloid with a dawn–dusk asymmetry primarily due to the Earth’s orbital motion. This follows from fluid dynamical consid- erations, numerical simulations as well as statistical stud- ies of spacecraft observations. The inherently local nature of spacecraft measurements compared to the spatial scale of the bow shock, even in the case of spacecraft constellations such as Cluster (Escoubet et al., 1997), Time History of Events and Macroscale Interactions during Substorms (THEMIS; Angelopoulos, 2008) or the Magnetospheric Multi-Scale (MMS; Burch et al., 2016a) missions, does not allow us to determine the global shape of the bow shock surface at a given instant in time. Statistical studies are the method of choice (e.g. Merka et al., 2005; Meziane et al., 2014). Thus it is also usually assumed that under steady conditions, the ion foreshock is located in the solar wind volume mag- netically connected to the bow shock surface region where θB−n/ 50◦. Depending on the orientation of the interplan- etary magnetic field (IMF), this can be one or two compact regions in space. Another tenet of ideal magnetohydrodynamics is the con- servation of magnetic field line topology, which is a good as- sumption on large scales or in collisional plasma but breaks down on smaller scales when strong magnetic field gradi- ents are present. Through the kinetic process of magnetic re- connection, antiparallel magnetic field lines rearrange their topology while strongly accelerating inflowing plasma out of the reconnection region (see, e.g., reviews by Zweibel and Yamada, 2009, and Treumann and Baumjohann, 2013, and references therein). A prime example of magnetic re- connection in near-Earth space occurs at the magnetopause in the subsolar region, when inflowing southward IMF re- connects with the northward-oriented geomagnetic field lines (e.g. Phan et al., 2000; Paschmann, 2008; Dunlop et al., 2011). This phenomenon drives global magnetospheric dy- namics as first proposed by Dungey (1961), and therefore it is key to space weather studies (e.g. Cassak, 2016; Burch et al., 2016b). The topological reconfiguration of magnetic field lines at the magnetopause can lead to the formation of well-delimited structures called flux transfer events (FTEs). The classic pic- ture of an FTE is that of a magnetic flux tube connected both to the magnetosheath and the magnetosphere, but its topology can be more complex. FTEs were first observed by Russell and Elphic (1978, 1979) and Haerendel et al. (1978) (who termed the process magnetic flux erosion) and subse- quently much studied in space and ground observations as well as simulations (e.g. Kawano and Russell, 1997; Wild et al., 2001, 2003; McWilliams et al., 2004; Fear et al., 2009; Eastwood et al., 2016; Hasegawa et al., 2016; Milan et al., 2016). FTEs travel downstream along the magnetopause with the magnetosheath plasma and are recognized by their signa- ture in magnetic field measurements, such as the bipolar de- flection of the component normal to their axis in the case of a flux rope or magnetic island (e.g. Omidi and Sibeck, 2007; Dorelli and Bhattacharjee, 2009; Sibeck and Omidi, 2012; Eastwood et al., 2012). Their signatures also include pole- ward moving auroral forms (PMAFs) and their equivalent in radar observations named poleward moving radar auroral forms (PMRAFs), which result from poleward ionospheric flows. Oscillations can also be observed by ground magne- tometers (e.g. Øieroset et al., 1996; Milan et al., 2000; Pang et al., 2009). Although their role is crucial in the solar wind– magnetosphere interaction, allowing plasma exchange along the reconnected magnetic field lines, FTEs have not so far been thought to be the direct cause of significant upstream effects. In this work, we propose a scenario by which dayside mag- netopause reconnection generates FTEs, which in turn cause steepening fast magnetosonic bow and stern waves to prop- agate throughout the magnetosheath. The increased pressure behind the steepened wave fronts causes the bow shock to bulge outward in an area travelling along the bow shock sur- face. The geometry at the edge of such a bulge can lead θB−n to become smaller than∼ 50◦ in a well-delimited region, de- tached from the “regular” foreshock, upstream of which a beam of reflected ions generates a local, transient and travel- ling foreshock. This chain of processes has first been identi- fied in a two-dimensional polar-plane hybrid-Vlasov simula- tion of steady southward IMF interacting with an Earth-like dipolar magnetic field. The simulation was performed using the Vlasiator model (http://vlasiator.fmi.fi). We also present observational data supporting the scenario. Geotail space- craft observations show the existence of short foreshock-like ion beams during steady southward IMF, in a region well- detached from both the bow shock and the regular ion fore- shock region and in the absence of any IMF fluctuations, thus excluding a momentary transit of the spacecraft through the regular foreshock due to a change in IMF orientation. Simul- taneously, the signatures of FTEs moving poleward are found in ground magnetometer and SuperDARN (Super Dual Au- roral Radar Network) radar data. Section 2 describes the simulation and the observa- tional methods. The scenario of magnetopause–bow-shock– foreshock interaction is detailed in Sect. 3, while the ground and spacecraft observations are presented in Sect. 4. The re- sults are then discussed in Sect. 5 before the conclusions are given in Sect. 6. 2 Methods 2.1 Hybrid-Vlasov simulation The hybrid-Vlasov model Vlasiator has been developed with the aim of producing global magnetospheric simulations Ann. Geophys., 34, 943–959, 2016 www.ann-geophys.net/34/943/2016/ Y. Pfau-Kempf et al.: Transient local foreshocks 945 of the Earth’s magnetosphere including kinetic physics be- yond magnetohydrodynamics while avoiding the limitations due to the statistical sampling inherent to particle-in-cell approaches (von Alfthan et al., 2014). Vlasiator has been used to study amongst other things the magnetosheath and the foreshock in equatorial plane simulations of the terres- trial magnetosphere (Pokhotelov et al., 2013; Kempf et al., 2015; Palmroth et al., 2015; Hoilijoki et al., 2016). It solves Vlasov’s equation to propagate the ion (proton) velocity dis- tribution function in up to three spatial and three velocity di- mensions. The equation system is closed via Ampère’s and Faraday’s laws as well as a generalized Ohm’s law includ- ing the Hall term (see von Alfthan et al., 2014, and Palmroth et al., 2015, for more details). The simulation used in this study is two-dimensional in the polar x–z plane and three-dimensional in velocity space. It covers both the dayside and the nightside magnetosphere. The spatial coordinates are similar to the Geocentric Solar Magnetospheric (GSM) coordinate system with the x axis pointing from the Earth towards the Sun and the z axis or- thogonal to the x axis and parallel to the geomagnetic dipole field axis (no dipole tilt). We use a two-dimensional line dipole centred at the origin and scaled to match the geomag- netic dipole strength in the same way as is done by Daldorff et al. (2014). The steady solar wind has a proton density of 1× 106 m−3, an inflow temperature of 0.5 MK and a veloc- ity of −750 km s−1 purely along the x axis. The constant and purely southward IMF has an intensity of 5 nT. The up- stream boundary maintains a constant field and a Maxwellian velocity distribution; the three other outer boundaries have copy conditions ensuring proper outflow. The inner bound- ary, which is set at a distance of 30 000 km (∼ 5 Earth radii, RE) around the origin, enforces a static Maxwellian veloc- ity distribution and perfect conductor field boundary condi- tions. The out-of-plane direction is treated periodically. The boundaries are located at 47RE from the origin in each di- rection. Since this study concentrates on dayside phenomena, the nightside is not shown in this work. The spatial resolution is 300 km or 0.047RE or 1.3 solar wind ion inertial lengths and the velocity space extends from−4000 to+4000 km s−1 in all three dimensions with a resolution of 30 km s−1 or 0.33 solar wind ion thermal speeds. The phase space density spar- sity threshold is 10−15 m−6 s3 (see von Alfthan et al., 2014, and Kempf et al., 2015, for details on the sparse phase space strategy used in Vlasiator). The simulation has been run for over 1850 s or 140 so- lar wind proton gyroperiods, and it reaches a steady state on the dayside after less than 900s or 70 gyroperiods. The bow shock and the magnetopause form as expected and there is a foreshock at high latitudes both in the Northern and Southern hemispheres. The magnetosheath is pervaded by anisotropy- driven waves, most notably mirror-mode waves as has been demonstrated by Hoilijoki et al. (2016). Figure 1 shows an overview of the simulation setup after 1150 s of simulated time. The magnetopause–magnetosheath–bow-shock struc- Figure 1. Colour code: plasma number density (protons m−3) after 1150s of simulation time. Contour lines: magnetic field lines. A large magnetic island is prominent at (+6,−7)RE; another one is in the southern cusp region and a series of smaller magnetic islands is visible at the dayside magnetopause northward of the equator. ture is clear, and a large magnetic island can be recognized due to its high density at the position (+6,−7)RE. A smaller magnetic island is in the southern polar cusp region, while a series of even smaller islands is also visible along the day- side magnetopause boundary northward of the equator. The animation provided in the Supplement to this work shows the time evolution of the ion number density and the parallel temperature for the same spatial extents as Fig. 1 and with the same colour scales as Figs. 1 and 5a. 2.2 Spacecraft and ground measurements We first use solar wind densities, velocities and the IMF one-minute averaged data from NASA/GSFC’s OMNI data www.ann-geophys.net/34/943/2016/ Ann. Geophys., 34, 943–959, 2016 946 Y. Pfau-Kempf et al.: Transient local foreshocks set accessed through CDAweb (Coordinated Data Analysis Web) to identify suitable intervals of stable solar wind and steady southward IMF conditions. We also use in situ spacecraft measurements from Geotail in this study. The ion velocity distribution measurements are taken from the Low Energy Particle instrument (LEP; Mukai et al., 1994). During the event presented in Sect. 4.3, LEP was in the EA (energy-per-charge analyser) mode, which is not well-suited to properly measure the cold core solar wind ion population but does not impact the quality of suprather- mal ion measurements. Editor-B data are available for that event, meaning that only two-dimensional velocity distri- butions are available. These projected distributions are pro- duced using data from all three-dimensional channels (LEP instrument team, personal communication, 26 August 2016). They are provided in Geocentric Solar Ecliptic (GSE) co- ordinates (xGSE-axis pointing from the Earth towards the Sun, yGSE-axis in the ecliptic plane pointing towards dusk and zGSE-axis perpendicular to the ecliptic plane). Magnetic field measurements are from the Magnetic Field Measure- ment fluxgate magnetometers (MGF; Kokubun et al., 1994). The following measurements from the Wind spacecraft are used: solar wind data from its Solar Wind Experiment (SWE; Ogilvie et al., 1995), IMF data from its Magnetic Fields Investigation (MFI; Lepping et al., 1995), moments from its 3-D Plasma and Energetic Particle Analyzer (3-DP; Lin et al., 1995) as well as densities retrieved from the electron plasma frequency measured by the radio and plasma wave instrument (WAVES; Bougeret et al., 1995). The following datasets from the Advanced Composition Explorer (ACE) spacecraft are used: IMF measurements from the Magnetic Fields Experiment (MAG; Smith et al., 1998) and ion mo- ments from the Solar Wind Electron Proton Alpha Monitor (SWEPAM; McComas et al., 1998). Ground-based ionospheric backscatter data from Super- DARN (Greenwald et al., 1995) as well as ground magne- tometer data from the International Monitor for Auroral Ge- omagnetic Effects (IMAGE, http://space.fmi.fi/image, Tan- skanen, 2009) are used. Additionally, we use the electrojet activity auroral electrojet (AE) indices provided by the Uni- versity of Kyoto through the World Data Center for Geomag- netism (Davis and Sugiura, 1966). 3 Magnetopause–bow-shock–foreshock interaction scenario The scenario proposed in this work has been identified in the simulation presented in Sect. 2.1. We describe the scenario here in Sect. 3 in a narrative fashion and present the corre- sponding observations in Sect. 4. Limitations are discussed in Sect. 5. -40 -30 -20 -10 0 10 20 30 40 B (n T) (b) BX BY BZ -40 -30 -20 -10 0 10 20 30 40 -30 -20 -10 0 10 20 B (n T) Time (s) (c) BT BY BN Figure 2. (a) Close-up view of the large magnetic island from Fig. 1 travelling tailward along the magnetopause. Colour code: plasma number density, protons m−3. Contour lines: magnetic field lines. Arrows: rotated coordinate system (N,Y,T ) with N normal to the magnetopause and T parallel to it. (b) Magnetic field evolution at a virtual spacecraft located at the white cross in panel (a), in sim- ulation (GSM) and (c) rotated coordinates. The grey vertical bar indicates the time of panel (a) and Fig. 1. The characteristic bipo- lar signature of the passing magnetic island is obvious in the BN component. 3.1 Magnetopause reconnection Under steady southward IMF, magnetic reconnection occurs typically along a line at the equator on the magnetopause (e.g. Trattner et al., 2007; Dunlop et al., 2011; Hoilijoki et al., 2014). In the present simulation, the position of the X-line is not stable in time and multiple reconnection sites can coex- ist at any given time on the magnetopause. Reconnected field lines form magnetic islands in the exhaust regions of recon- nection sites, which grow and travel downstream (poleward) along the magnetopause. This continuously ongoing process is prominent in the animation provided in the Supplement. The magnetic islands can be seen as the two-dimensional equivalents of FTEs, that is, cuts through an out-of-plane flux rope. A more detailed analysis of the propagation of the magnetic islands and the location and intensity of magnetic reconnection is the subject of a separate study. Figure 2 shows such a magnetic island and time series of the magnetic field components seen at a virtual space- craft over which the magnetic island flows. The magnetic Ann. Geophys., 34, 943–959, 2016 www.ann-geophys.net/34/943/2016/ Y. Pfau-Kempf et al.: Transient local foreshocks 947 (a) + Core Core Beam Beam V z (1 00 0 km s )-1 Vx (1000 km s )-1 Figure 3. (a) Example of bow (black dashed) and stern (white dash–dotted) fast wave fronts driven by a magnetic island (density peak at (2,−9)RE; colour code: plasma number density; protons m−3; simulation time 1340 s). The bow wave accelerates particles ahead of it, as can be seen in the (b) two-dimensional projected isocontour and (c) three-dimensional isocontour plots of the ion velocity distribution (phase space density in s3 m−6; 3-D isocontour at 1× 10−15 s3 m−6) taken at the location of the white cross. The core population with very low drift velocity (blue, pink and grey isocontours, centre and top right part of the 3-D isocontour) is preceded by an accelerated population in the −Vx and −Vz direction. The white arrow shows the location of the profiles shown in Fig. 4. field components are shown both in the simulation coordi- nates and in a coordinate system (N,Y,T ) rotated by 150◦ in the plane of the simulation so that N points in the direction normal to the magnetopause and T points along the magne- topause. The strong bipolar fluctuation in the BN component is characteristic of the passage of a magnetic island. 3.2 Magnetosheath waves and bow shock perturbations Figure 3a shows a magnetic island in the southern cusp re- gion. The increased dynamic pressure of the magnetic is- lands with respect to the surrounding magnetosheath plasma drives bow waves ahead of the islands. These fast magne- tosonic waves propagate throughout the magnetosheath and steepen to almost form fast forward shocks. In some cases, strong magnetic islands can also be followed by a fast re- verse wave front, but these stern waves are less steep than the bow wave fronts. Both the bow and stern fast mode waves are visible in Fig. 3a. The profiles of plasma density, velocity and temperature perpendicular to the magnetic field as well as the magnetic field intensity show clearly the steep corre- lated increase corresponding to the fast forward wave front in Fig. 4a–d. The forward wave fronts are steep enough to re- flect ions much in the way a shock can accelerate ions to gen- erate upstream foreshock populations. Figure 3b and c shows the two- and three-dimensional velocity distribution function isocontours at the location of the white cross in Fig. 3a. The accelerated ions are clearly visible ahead of the core popu- lation in the −Vx and −Vz direction. The structure is also readily visible in the profile of the temperature parallel to the 2x106 2.5x106 3x106 (a) N o. de ns ity (m ) -3 350 400 450 500(b) V (m s- 1 ) 5 10 15 (c) T (M K ) T//T⊥ 25 30 35 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 (d) B (n T) Distance (RE) Figure 4. Cut across the bow wave front along the white arrow in Fig. 3 showing (a) the plasma density and (b) velocity, (c) the tem- perature parallel and perpendicular to the magnetic field, and (d) the magnetic field intensity. The correlated jump in all these parameters at the abscissa 2RE characterizes the steep fast forward wave front. Note the fast wave signature in the perpendicular temperature while the parallel temperature is much more sensitive to the particle beam accelerated ahead of the wave front. www.ann-geophys.net/34/943/2016/ Ann. Geophys., 34, 943–959, 2016 948 Y. Pfau-Kempf et al.: Transient local foreshocks + (a) Core Core Beam Beam V z ( 1 0 0 0 k m s ) - 1 Vx (1000 km s ) -1 Figure 5. (a) Colour code: temperature (K) parallel to the magnetic field in a region presenting a local foreshock at 1548.5s simulation time. This variable is sensitive to the presence of an ion beam, hence the choice to bring out the local foreshock. The continuous white isocontour curve shows where the ion density is 2× 106 m−3 (twice the solar wind density), thus indicating the bow shock location. The dashed white curve would show the approximate position of the bow shock were it not for the increased pressure due to a fast wave front in the magnetosheath. The continuous and dashed segments indicate the normal direction for each of these curves. θB−n: 41◦ and 54◦; thus the angle between both is 13◦. (b) Two-dimensional projected isocontour and (c) three-dimensional isocontour plots of the ion velocity distribution (phase space density in s3 m−6; 3-D isocontour at 1× 10−15 s3 m−6) at the location of the white cross. The field-aligned beam is prominent and directly comparable to Figs. 2 and 6 in the work by Kempf et al. (2015). magnetic field in Fig. 4c; the steep increase in the parallel temperature from 7 to 14 MK is the direct signature of the presence of an accelerated ion population upstream of the wave front in addition to the background magnetosheath ion population. The increased parallel temperature ahead of the wave fronts is visible too in the right panel of the animation provided in the Supplement. Downstream of the fast magnetosonic waves, the mag- netosheath plasma has higher thermal, dynamic and mag- netic pressure. The straightforward consequence of this phe- nomenon is – considering the pressure balance when the wave fronts reach the bow shock – that the bow shock is pushed outwards against the solar wind, forming a local- ized bulge corresponding to the region of enhanced magne- tosheath pressure. 3.3 Local foreshocks Figure 5a shows the detailed view of a small region of the bow shock south of the subsolar point. When the angle be- tween the shock normal and the upstream magnetic field θB−n is lower than ∼ 50◦, incoming particles with suffi- cient energy can be accelerated back upstream and form a foreshock. Consequently, when the bow shock bulge caused by the fast-wave-mediated pressure increase is pronounced enough, the region of the bulge with θB−n/ 50◦ is the source of a separate ion beam propagating upstream along the IMF direction. This is of course only the case when the bulge has not yet travelled into the region where the mean θB−n is al- lowing ion reflection anyway. The spatial extent in the di- rection parallel to the bow shock surface is limited to the corresponding patch of favourable θB−n, and this localized foreshock travels along with the driving magnetosheath wave front until it merges with the regular foreshock further down- stream. Due to its being a travelling and transient ion beam, the expected beam instabilities do not have time to grow to form ultra low-frequency (ULF) waves as in the regular fore- shock (see, e.g., von Alfthan et al., 2014; Palmroth et al., 2015). This means that the typical ULF wave signature char- acteristic of the regular foreshock is absent from this struc- ture. Figure 5a shows an example of a localized foreshock driven by a magnetosheath wave. The colour code in the figure shows the temperature parallel to the magnetic field, which is sensitive to the presence of a field-aligned ion beam. The white contour curve is set at a plasma density of 2×106 m−3 (twice the solar wind density), which highlights the position and shape of the bow shock. The dashed curve would indicate the approximate location of the bow shock were it not for the pressure increase in the magnetosheath Ann. Geophys., 34, 943–959, 2016 www.ann-geophys.net/34/943/2016/ Y. Pfau-Kempf et al.: Transient local foreshocks 949 Figure 6. Energy–time spectrogram of the simulated local fore- shock crossing event at the location marked in Fig. 5. The grey vertical bar indicates the time of Fig. 5. The velocity distribution has been split into four sectors (sunward, southward, tailward and northward in the simulation/polar plane, ±45◦ from the +x, −z, −x and +z direction respectively), two of which are plotted here. (a) The dense tailward population at an energy of a few kiloelec- tronvolt is the solar wind core. (b) The local foreshock beam forms the population at a few tens of kiloelectronvolt in the southward sec- tor and lasts almost 70s. Thus the expected observational signature is that of a field-aligned beam with a duration of the order of 1 min. after the passage of a fast forward wave front. The continu- ous and dashed segments indicate the local direction normal to the respective curve. Their θB−n is respectively 41◦ and 54◦. The ion beam is generated by solar wind ions reflected at the foot of the bow shock bulge where θB−n is favourable. Beyond −3RE(xGSM), the regular foreshock is also visible upstream of the bow shock as a region of increased parallel temperature. The fact that the density and parallel tempera- ture increases due to the bow shock do not coincide, illus- trates that the shock primarily heats plasma in the perpen- dicular direction. Isotropization of the velocity distribution happens further downstream in the magnetosheath. The animation provided in the Supplement to this work shows that such local foreshocks occur both north and south of the ecliptic whenever favourable θB−n conditions are met at the foot of a bow shock perturbation. Figure 5b–c shows the ion velocity distribution function corresponding to a field-aligned beam population, which is similar to the distribution expected at the edge of the regular foreshock upstream of the ULF foreshock boundary (Kempf et al., 2015). The density of the beam is of the order of 1 % of the inflowing density as in the regular foreshock (not shown). Figure 6 shows an energy–time spectrogram for the tailward and southward sectors of the velocity distribution. The tail- ward part contains the cold solar wind core population, while the southward sector, in the direction of the field-aligned beam, indicates the typical signature expected when a local foreshock crosses an upstream spacecraft. The timescale of a local foreshock crossing is on the order of 1 min in the simu- lation (almost 70s in Fig. 6), but this value can vary depend- ing on the geometry of the event. Other factors affecting the observational signatures are discussed in Sect. 5. 4 Spacecraft and ground observations In Sect. 3 we present a scenario based on a global hybrid- Vlasov simulation, in which dayside reconnection eventually leads to the formation of local, transient foreshock-like struc- tures upstream of the terrestrial bow shock and outside of the region where the angle between the shock normal and the IMF (θB−n) would normally be favourable for ion re- flection. In this section, we present observational data from an event on 30 August 2004 which supports the interpre- tation of the simulation. While Geotail observed transient field-aligned ion beams in the solar wind upstream of the bow shock and the foreshock between 08:09 and 08:24 UT, ground-based SuperDARN radar data and IMAGE magne- tometer data indicate that dayside reconnection was active and producing FTEs. 4.1 Upstream pristine solar wind conditions The OMNI data set (from ACE) containing the upstream magnetic field, ion velocity, ion density and ion tempera- ture on 30 August 2004 is plotted in Fig. 7. It shows that the IMF turned south at about 05:00 UT and Bz remained strongly negative around −10nT for most of the day until about 22:00 UT. The velocity and temperature of the solar wind remained stable around 480–490 km s−1 and 104 K re- spectively between 08:00 and 19:00 UT, while Bz slowly de- creased from −8 to −11nT and the density slowly increased from about 5 to 10cm−3. 4.2 Ground observations The strong southward Bz component of the IMF is the cause of strong magnetic reconnection at the dayside mag- netopause, which in turn is known to produce numerous FTEs (e.g. Kawano and Russell, 1997). Global activity in- dices clearly indicate ongoing magnetic reconnection during the event. The prolonged period of southward IMF triggered a geomagnetic storm and the increased levels of magnetic reconnection both on the dayside and the nightside are re- flected in the AE indices, which started picking up between 05:00 and 06:00 UT and reached levels above AE= 500nT after 08:00 UT. Evidence for continuous FTE activity during the period 06:00 to 10:00 UT is observed by two SuperDARN radars in the Southern Hemisphere, presented in Fig. 8. The Ker- guelen and Syowa East radars were observing backscatter from the pre-noon and noon region during this period. Fig- ure 8a–c show the Kerguelen line-of-sight velocity data at 07:08, 07:32 and 08:22 UT. Three regions of backscatter are labelled A to C. In the polar cap (A), 1 kms−1 flows away from the radar (antisunwards) are observed, 700ms−1 flows away from the radar (polewards) are seen entering the polar cap near noon (B), and 700ms−1 flows towards the radar (sunwards) are seen in the return flow region (C). As the www.ann-geophys.net/34/943/2016/ Ann. Geophys., 34, 943–959, 2016 950 Y. Pfau-Kempf et al.: Transient local foreshocks Figure 7. Upstream solar wind observations between 04:00 and 22:00 UT on 30 August 2004, from the OMNI dataset with 1min time resolution. (a) Magnetic field. (b) Velocity. (c) Ion number density. (d) Ion temperature. The grey box shows the interval of the event presented in Fig. 11 and Sect. 4.3. Earth rotates the look direction of the radar changes, but these backscatter regions continue to be observed. Range– time plots show that these backscatter regions are quasi- periodically pulsed with periods near 10–15 min, the ex- pected signature of pulsed reconnection (e.g. Provan et al., 1998; Milan et al., 1999a, 2000; Wild et al., 2001). This is seen as poleward-moving enhancements in the backscatter power in the polar cap flows of region A in Fig. 8f. It is also observed as pulses of backscatter and flow in the re- turn flow region, as first discussed by Milan et al. (1999b), that is, pulsed flows observed moving towards the Kergue- len radar (i.e. sunwards) in the return flow backscatter re- gion C (Fig. 8e) and pulsing moving away from the Syowa East radar (also sunwards), in backscatter collocated with re- gion C (Fig. 8i). IMAGE magnetometers also observed signatures that could be interpreted as FTE activity. Figure 9a shows the ionospheric equivalent current density at 110 km altitude in the Northern Hemisphere at 08:15 UT. The equivalent current density was derived from 10s IMAGE magnetometer data using spherical elementary current systems (SECS; Amm, 1997; Amm and Viljanen, 1999). Before applying the SECS method, a baseline was subtracted from the variometer data following van de Kamp (2013). The Jeq data are presented as a function of Altitude Adjusted Corrected Geogmagnetic Co- ordinates (AACGM; Shepherd, 2014) latitude and longitude, which at the given UT correspond to 09:05–11:09 magnetic local time (MLT). The plot has been rotated such that local noon is at the top. The plot shows eastward and equatorward equivalent current density vectors in the poleward part of the IMAGE field of view. If gradients of the ionospheric conduc- tances are vanishingly small or aligned with the electric field in a large enough area, the equivalent current equals the Hall current, which flows antiparallel to the ionospheric E×B drift. According to Weygand et al. (2012), this is often a good approximation. Thus, the equatorward equivalent current in Fig. 9a may indicate poleward plasma flow entering the polar cap. Figure 9b shows a ∣∣Jeq∣∣ keogram, that is, latitude profiles of |Jeq| along 105◦ longitude presented as a function of time Ann. Geophys., 34, 943–959, 2016 www.ann-geophys.net/34/943/2016/ Y. Pfau-Kempf et al.: Transient local foreshocks 951 ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) Figure 8. (a–c) Line-of-sight velocities (blue towards the radar, red away from the radar) from the Kerguelen SuperDARN radar in the Southern Hemisphere, at 07:08, 07:32 and 08:22 UT. Grey regions are ground scatter. The data are presented in geomagnetic latitude and magnetic local time coordinates, with dotted circles indicating geomagnetic latitudes of 60, 70 and 80◦ and dotted lines showing local time meridians with local noon at the top. The outline of the radar field of view is shown by dashed lines, as is the field of view of the Syowa East radar. Grey circles indicated the expected locations of the poleward and equatorward edges of the auroral oval. Three regions of backscatter are indicated by the letters A, B and C. (d–i) Backscatter power and line-of-sight velocity from beams 0 and 13 of the Kerguelen radar and beam 9 of the Syowa East radar. Regions of backscatter are also labelled A to C. between 06:00 and 10:00 UT. The vertical lines indicate the interval 08:09–08:24 UT during which Geotail observed the ion beam signature. The occurrence of the ∣∣Jeq∣∣ intensifica- tions observed by IMAGE between 70 and 75◦ latitude be- fore about 09:00 UT roughly agrees in time with the South- ern Hemisphere FTE signatures observed by SuperDARN. One of the intensifications occurred during the interval when Geotail observed the ion beam signature. 4.3 Geotail observations On 30 August 2004, Geotail was located on the dayside of the Earth and upstream of the bow shock in the so- lar wind. Between about 08:00 and 08:30 UT, Geotail was www.ann-geophys.net/34/943/2016/ Ann. Geophys., 34, 943–959, 2016 952 Y. Pfau-Kempf et al.: Transient local foreshocks 30 Aug 2004 08:15:00 UT (09:05−11:09 MLT) 55o 60o 65o 70o 75o 90o 100o 110o Ionospheric J [90 A km ] AACGM lat AACGM long (a) |J eq | [ A km ] 0 10 20 30 40 50 60 70 80 90 06:00 06:30 07:00 07:30 08:00 08:30 09:00 09:30 10:00 55 60 65 70 75 AA C G M la t [ de g] (l on g =1 05 .0 d eg ) (b) |J eq | [ A km ] 0 20 40 60 80 100 120 -1 -1 -1 UT of 30 Aug 2004 Figure 9. (a) Ionospheric equivalent current density at 110 km alti- tude (Jeq, arrows; ∣∣Jeq∣∣, colour) in the Northern Hemisphere on 30 August 2004 at 08:15 UT, derived from 10s IMAGE magnetometer (squares) data. The data are presented as a function of geomagnetic (AACGM) latitude and longitude, which at the given time corre- spond to 09:05–11:09 MLT. The plot has been rotated such that lo- cal noon is at the top. (b) ∣∣Jeq∣∣ keogram (latitude profiles along 105◦ longitude presented as a function of time between 06:00 and 10:00 UT). The vertical lines indicate the interval (08:09–08:24 UT) during which Geotail observed the ion beam signature. located at (17.6,23.0,−9.2)RE in GSM coordinates and (17.6,24.5,3.6)RE in GSE coordinates. The location of Geotail with respect to a model bow shock and ion foreshock edge is shown in Fig. 10 (details of the bow shock and fore- shock models are given in Sect. 5.1). Geotail/MGF observed stable IMF withBGSM = (7,5,−9)nT, as shown in Fig. 11c. No perturbations of the magnetic field are seen which would modify its orientation, thus altering the magnetic connection to the bow shock and the location of the foreshock. Small- amplitude regular fluctuations are visible throughout, which (a) (b) Figure 10. (a) Plot showing the location of Geotail at 08:16:10 UT on 30 August 2004 with respect to the bow shock following the model by Merka et al. (2005) and the foreshock edge assuming that the maximum θB−n for ion reflection is 60◦ and the reflected ions have twice the solar wind speed (in the solar wind frame). (b) x–z slice at the y coordinate of Geotail showing the spacecraft and the bow shock location. (Plots in GSE coordinates.) coincide with Geotail’s nominal spin rate of 20 rpm. They are therefore likely a residual from the data calibration process. The energy–time spectrograms from the Geotail/LEP in- strument for the ions flying in the tailward and duskward di- rections are shown in Fig. 11a and b. Only two-dimensional projected ion velocity distributions in the ecliptic plane are available from LEP for this event, hence the choice of sec- tors. The tailward sector is dominated by the steady cold and dense solar wind core population just below 1keV. Be- tween about 08:09 and 08:24 UT (time delimited by the black dotted lines in Fig. 11) the duskward sector exhibits several occurrences of an ion population at energies of a few kilo- electronvolt reminiscent of the signature of foreshock field- aligned beam ions. The presence of a beam in this sector is consistent with the significant By component of the IMF. In contrast to regular foreshock field-aligned beams, this beam is transient and appears several times after 08:10 UT for one to a few minutes without correlation with changes in the magnetic field direction, as can be seen by comparing panels a–c in Fig. 11. Panel d shows the velocity and number density of the ions from the OMNI data set with a 1min time resolution. The velocity is stable and varies only by about 1 %, while the density fluctuates between 4.5 and 5.5cm−3 but without correlating with the transient beam event. We choose the OMNI density and velocity data because the den- sities reported by Geotail/LEP do not seem to be consistent. This is likely due to the fact that LEP is in EA mode and not in SW (solar wind analyser) mode, which would have ensured a better measurement of the solar wind core popu- lation. To ensure that the choice of the OMNI data is sensi- ble, we compare shifted ACE and Wind magnetic field mea- Ann. Geophys., 34, 943–959, 2016 www.ann-geophys.net/34/943/2016/ Y. Pfau-Kempf et al.: Transient local foreshocks 953 Figure 11. Geotail/LEP energy–time spectrogram on 30 August 2004 between 07:48 and 08:47 UT, for the (a) tailward and (b) duskward sectors (±45◦ from the +x and +y direction respectively), extracted from the two-dimensional reduced velocity distribution in the GSE ecliptic plane. The tailward sector shows the cold and dense solar wind core population just below 1keV. The duskward sector shows the signature of a transient beam whose density peaks several times between 08:09 and 08:24 UT (time delimited by the black dotted lines). (c) Geotail/MGF magnetic field in GSM coordinates. The magnetic field components and thus its orientation are stable during the event. The short-period oscillations coincide with Geotail’s nominal spin rate of 20 rpm. (d) OMNI plasma number density and velocity. The grey continuous bars indicate the time at which the velocity distribution shown in Fig. 12 is measured. surements to the Geotail/MGF data to check that the OMNI propagation algorithm is successful. We then check that the densities and velocities from ACE and Wind are similar to each other and to the OMNI dataset. Since this is the case and the OMNI values are similarly stable to the ACE (which was used to produce the OMNI dataset) and Wind data at a higher time resolution, we conclude that the OMNI dataset is reliable and sufficient here. LEP being in EA mode instead of SW affects the quality of the measurement for the core population but not for the beam, which is of prime interest here. Figure 12 shows the projected two-dimensional veloc- ity distribution in the Vx–Vy GSE plane measured by the Geotail/LEP between 08:16:10 and 08:16:22 UT (time de- limited by the grey continuous bars in Fig. 11). The so- lar wind core population is prominent in the lower left at Vx ∼−400kms−1, while a typical field-aligned beam flows back upstream along the magnetic field with positive Vx and Vy components. The black arrow points in the average direc- tion of the magnetic field in the x–y GSE plane during the time interval, and the grey dots indicate all measurements taken at an 8Hz cadence by the MGF instrument during the same time. Their close grouping once more indicates the sta- bility of the magnetic field direction. It is worth noting that while exactly similar magnetic field and solar wind conditions prevail in the 10 min pre- ceding the event, no such field-aligned beam is seen before 08:10 UT. Additional ion beams are visible between 08:24 and 08:40 UT, but in their case the influence of magnetic field perturbations observed simultaneously cannot be con- clusively ruled out. 5 Discussion In Sect. 4 we present Geotail observations of transient field- aligned ion beams upstream of the Earth’s bow shock, while ground-based SuperDARN radar data and IMAGE magne- tometer data show that pulsed dayside reconnection produc- ing FTEs was occurring at the same time. This matches the observational signatures expected from the scenario drawn in Sect. 3 based on a global magnetospheric simulation. In this Sect. 5 we first investigate the position of Geotail with re- spect to the regular foreshock, and we then discuss the more general factors which might affect the interpretation of the simulation and the measurements. 5.1 Position of Geotail relative to the regular foreshock It is important to ascertain that Geotail is not too close to the bow shock or to the foreshock. Indeed if it were in the vicinity of either, it could observe for example shock foot ion populations or the edge of field-aligned beam populations www.ann-geophys.net/34/943/2016/ Ann. Geophys., 34, 943–959, 2016 954 Y. Pfau-Kempf et al.: Transient local foreshocks Beam Core Figure 12. Coloured dots: Two-dimensional reduced ion velocity distribution in GSE coordinates measured by Geotail/LEP between 08:16:10 and 08:16:22 UT. The cold solar wind core flows with Vx ∼−400kms−1, and the hotter field-aligned beam propagates in the opposite direction. Black arrow: averaged magnetic field di- rection in the x–y GSE plane measured by Geotail/MGF during the interval. Grey dots: all individual Geotail/MGF measurements taken at 8 Hz cadence. The stability of the orientation of the magnetic field is remarkable. from the foreshock, which would look very similar to the signature expected from a local foreshock. We use the bow shock model from Merka et al. (2005) with the OMNI solar wind parameters and the Geotail/MGF observed magnetic field as inputs to determine the expected bow shock shape and position. As a first approach we deter- mine the position of the expected ion foreshock edge. We trace the observed magnetic field to find the locus on the bow shock surface where θB−n = 60◦, and then we trace the trajectories of ions reflected from there with twice the so- lar wind inflow speed in the solar wind rest frame. This is typical of field-aligned beams in the foreshock (e.g. Green- stadt et al., 1980; Eastwood et al., 2005a; Kis et al., 2007). From this modelling we determine that Geotail is 3–5RE away from the foreshock edge and 9–10RE clear of the bow shock during the event between 08:09 and 08:24 UT, whence we could conclude that the spacecraft is well beyond reach of bow shock foot or foreshock edge ions. The result of this analysis is what is presented in Fig. 10. However, as can readily be estimated from the observed velocity distribution shown in Fig. 12, the beam is signifi- cantly faster in the solar wind rest frame than twice the solar wind inflow velocity in the spacecraft frame. To get a bet- ter estimate of whether Geotail is within reach of the regular foreshock, we consider the trajectory of foreshock ions as- suming adiabatic reflection at the bow shock (Schwartz et al., 1983; Liu et al., 2016). Adiabatic reflection and not specular reflection is assumed because it yields higher beam speeds and would thus be more likely to reach the spacecraft. In- coming ions at velocity V impinge on the bow shock, which has a local normal vector n, and are reflected with a velocity V r =−V + 2V HT, (1) where V HT = n× (V ×B) n ·B (2) is the de Hoffmann–Teller velocity of the bow shock (De Hoffmann and Teller, 1950) and B is the IMF. The validity of the assumption that ions are reflected adia- batically can be checked against the simulation. In Fig. 5a we have θB−n = 41◦ at the foot of the local foreshock, the solar wind velocity is −750kms−1 purely along the x axis, and the IMF is constant and purely southward at 5nT. With those parameters, Eqs. (1) and (2) yield V simr = (−750,0,1725.6)kms−1. This does indeed correspond to the beam velocity as shown by the projected velocity distri- bution function in Fig. 5b, confirming the assumed adiabatic reflection process. To check whether Geotail observed adiabatically reflected ions from the regular foreshock, we trace the observed beam from Geotail back to the bow shock along the IMF direc- tion and invert Eq. (1) to reconstruct the solar wind veloc- ity vector V ′ that would yield the measured beam velocity with the assumed model bow shock. For the observed beam (Fig. 12), the resulting solar wind velocity vector would have the components V ′ = (−557,−602,317)kms−1 in GSE co- ordinates, which is obviously not in accordance with the ob- served solar wind (Figs. 7b and 11d). Having thus ascertained that in these solar wind and IMF conditions the observed beam cannot have been reflected adiabatically from the mod- elled bow shock, we perturb the model bow shock until the adiabatically reflected ion trajectory matches the observed beam. When n is rotated towards B by an angle of 15◦, the adiabatically reflected ion beam does indeed hit Geotail. This value is remarkably close to the angle of 13◦ between the un- perturbed and perturbed bow shock normals at the foot of the local foreshock in the global simulation (Fig. 5a). It has to be noted though that the beam velocities obtained with this approach do not agree well with the observed ones (recon- structed velocity 688kms−1, observed velocity 885kms−1 in the spacecraft frame), which means that the reflection and acceleration process and their geometry are probably more complex than the simple adiabatic reflection we assume here. In summary this analysis demonstrates that Geotail is out of reach for adiabatically reflected field-aligned beam ions originating from the unperturbed foreshock under the pre- vailing solar wind and IMF conditions. By introducing an ad hoc local perturbation of the bow shock normal of 15◦, we recover a beam direction consistent with the Geotail obser- vations, which is similar to the bow shock perturbation seen in the global simulation. Ann. Geophys., 34, 943–959, 2016 www.ann-geophys.net/34/943/2016/ Y. Pfau-Kempf et al.: Transient local foreshocks 955 5.2 Estimating the propagation direction of the perturbation Assuming that three-dimensional velocity distribution mea- surements were available with a high cadence, it would be possible to estimate the direction and speed of propaga- tion of the field-aligned ion beam. Indeed at the edge of an ion beam, non-gyrotropic partial ring or beam distributions are observed in a region of one gyrodiameter width (e.g. Schwartz et al., 2000; Kempf et al., 2015). Timing the tran- sition from a partial to a full gyrotropic beam and back on each side of the beam passage across the spacecraft yields an approximate beam propagation speed since the gyrodiame- ter of the ions is known. Furthermore, the gyrophase of the ions at the very edge of the beam indicates on which side of the spacecraft the beam is located, so that the incoming and outgoing edges yield an estimate of the beam edge ori- entation. However the lack of knowledge of the shape of the beam complicates the matter to some extent. For the event presented in Sect. 4, such estimates are not feasible with the Geotail data available and the comparison of the event tim- ings in the absence of a more detailed knowledge of the shape of the bow shock perturbation and beam is of no use. 5.3 Simulation model limitations The main limitation of the simulation presented is its two- dimensionality. Due to this configuration, all inflowing mag- netic flux is forced to reconnect at the magnetopause and can- not flow past without reconnecting, unlike in three dimen- sions. This forces magnetic reconnection to be strong and occur all the time at the magnetopause. Further, this likely means that the magnetic islands carry more momentum and thus drive stronger bow and stern waves into the magne- tosheath than they would in three dimensions. Additionally, the steady solar wind conditions in the sim- ulation preclude any upstream turbulence, yielding a smooth bow shock and no more downstream turbulence than the anisotropy-driven wave activity in the magnetosheath. There- fore the magnetic-island-driven fast waves can propagate rel- atively unhindered in the magnetosheath and the localized field-aligned beam is also very prominent in the solar wind. More realistic turbulent conditions would certainly yield less conspicuous signatures. Nevertheless, none of these limitations mean that the fully three-dimensional and turbulent case could not exhibit tran- sient local foreshocks, they might only be more difficult to detect and distinguish from other sources of bow shock and foreshock perturbations or ion beams. 5.4 Observational limitations The long chain of phenomena from the magnetopause through the magnetosheath and bow shock to the foreshock, constituting the scenario presented in this work, makes it daunting to observe the whole cascade of a single event in space and time. This would require the fortuitous availability of adequate measurement data firstly at the magnetopause to identify FTEs, secondly in the magnetosheath to single out steepened fast wave fronts, and thirdly upstream in a narrow region close to but definitively more than one ion gyrora- dius away form both the bow shock foot and the regular fore- shock edge, all of this during a stable southward IMF stretch and in the absence of any magnetic field fluctuations which could either drive an ion beam or produce a regular fore- shock crossing at the upstream spacecraft instead. No suit- able spacecraft were located in the magnetosheath or at the magnetopause during the Geotail event presented above so that a direct observation of fast-mode magnetosheath wave fronts is not possible in this case. As shown in Sect. 4, transient foreshock-like ion beams upstream but well-separated from both the bow shock and the foreshock are observed. At the same time, ground-based measurements confirm that dayside reconnection was oc- curring and producing FTEs propagating towards the poles. Without adequate magnetosheath observations, it is not pos- sible to claim with certainty that the complete scenario mapped in Sect. 3 holds. Yet the observations are consistent with the first and the last part of the story, namely that while dayside reconnection is active and pulsed, a localized change in the bow shock shape causes localized ion reflection and the formation of a transient, local foreshock. It cannot be ex- cluded that sources other than FTE-driven fast waves exist, but it is unlikely there would be distinctive features helping to tell them apart purely based on the observation of the ion beam without other measurements, from within the magne- tosheath for example. Such putative sources could include unpredicted magnetosheath waves interacting with the bow shock or very localized solar wind transients not observed by the upstream spacecraft. Finally, we note that the presented scenario offers an alternative mechanism to explain transient foreshock encounters that may have been interpreted previ- ously as foreshock skimmings due to a change in the mag- netic connection of the spacecraft to the bow shock. 6 Conclusions Global hybrid-Vlasov simulations of the terrestrial magneto- sphere in the polar plane under constant southward IMF show that the two-dimensional equivalents of flux transfer events, formed by dayside magnetopause reconnection, drive steep- ening bow and stern fast-mode waves in the magnetosheath. The increased pressure behind the wave fronts causes the bow shock to bulge out, inducing favourable ion reflection conditions which can result in the generation of local, tran- sient foreshock-like field-aligned ion beams upstream of the bow shock. The two-dimensionality of the simulation exac- erbates the phenomena, but the scenario would be entirely similar in three dimensions. www.ann-geophys.net/34/943/2016/ Ann. Geophys., 34, 943–959, 2016 956 Y. Pfau-Kempf et al.: Transient local foreshocks Ground-based and spacecraft observations support this scenario. During an extended period of stable southward IMF, we observe ionospheric signatures of dayside reconnec- tion and flux transfer events in SuperDARN radar data and IMAGE magnetometer data. Simultaneously, using Geotail magnetic field and ion velocity distribution measurements we observe the expected signature of an ion beam detached both from the bow shock and the regular foreshock and not linked to any upstream magnetic field fluctuation. Further observa- tions especially in the magnetosheath are needed though to confirm that indeed fast-mode waves lead to bow shock de- formations generating localized, transient field-aligned ion beams. 7 Data availability The simulation dataset is available on request from the Vlasiator team (http://vlasiator.fmi.fi, von Alfthan et al., 2014). IMAGE magnetometer data are available from http: //www.space.fmi.fi/image (Tanskanen, 2009). The AACGM software is available from http://engineering.dartmouth.edu/ superdarn/aacgm.html (Shepherd, 2014). The SuperDARN data can be accessed from the SuperDARN data portal hosted by Virginia Tech at http://vt.superdarn.org (Greenwald et al., 1995). The Supplement related to this article is available online at doi:10.5194/angeo-34-943-2016-supplement. Author contributions. Sebastian von Alfthan and Yann Pfau-Kempf designed and ran the simulation presented in this work. Heli Hietala helped in the analysis of the Geotail observations. Steve E. Milan provided the analysis and figure of the SuperDARN observations. Liisa Juusola provided the analysis and figure of the IMAGE obser- vations. Yann Pfau-Kempf, Heli Hietala, Sanni Hoilijoki, Urs Ganse and Sebastian von Alfthan developed analysis tools used in this study. Minna Palmroth is the Principal Investigator of the Vlasia- tor team at the Finnish Meteorological Institute. Yann Pfau-Kempf led the analysis and prepared the manuscript and figures with the help of all co-authors. Acknowledgements. The simulation was run on the Sisu supercom- puter at the CSC – IT Center for Science, Espoo, Finland. We thank T. Mukai at ISAS, JAXA in Japan for providing Geo- tail/LEP data; S. Kokubun at STELAB, Nagoya University, Japan for providing Geotail/MGF data; A. Szabo at NASA/GSFC for pro- viding Wind/MFI data; K. Ogilvie at NASA/GSFC for providing Wind/SWE data; R. Lin and S. Bale at UC Berkeley for providing Wind/3DP data; M. L. Kaiser at GSFC for providing Wind/WAVES data; N. Ness at Bartol Research Institute for providing ACE/MAG data; D. J. McComas at SWRI for providing ACE/SWEPAM data; and J. H. King and N. Papatashvili at AdnetSystems and GSFC for providing OMNI data, all through CDAweb. We also thank T. Na- gai and Y. Saito for providing Geotail/MGF and Geotail/LEP data through DARTS at ISAS, JAXA in Japan. We thank the University of Kyoto for providing the AE electrojet indices through the World Data Center for Geomagnetism. We acknowledge the use of SuperDARN data. SuperDARN is a collection of radars funded by national scientific funding agencies of Australia, Canada, China, France, Japan, South Africa, United Kingdom and United States of America. We thank the institutes who maintain the IMAGE magnetometer array. Yann Pfau-Kempf, Sanni Hoilijoki, Sebastian von Alfthan and Minna Palmroth acknowledge financial support from the Academy of Finland under the project 267144/Vlasov. Part of this study was done by Yann Pfau-Kempf, Liisa Juusola, Urs Ganse, Sanni Hoilijoki and Minna Palmroth under the ERC CoG-682068- PRESTISSIMO project, a Consolidator grant to Minna Palmroth from the European Research Council. The work of Heli Hietala is funded by NASA contract NAS5-02099. Steve E. Milan was sup- ported by the Science and Technology Facilities Council (STFC), UK, grant no. ST/N000749/1. Urs Ganse acknowledges funding from the German Research Foundation Grant GA1968/1 and the Academy of Finland project 267186. The topical editor, C. Owen, thanks two anonymous referees for help in evaluating this paper. References Amm, O.: Ionospheric elementary current systems in spherical co- ordinates and their application, J. Geomagn. 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