The Inhomogeneity of Composition along the Magnetic Cloud Axis
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The Inhomogeneity of Composition along the Magnetic Cloud Axis Hongqiang Song 1,2∗ , Qiang Hu 3 , Xin Cheng 4 , Jie Zhang 5 , Leping Li 2 , Ake Zhao 6 , Bing Wang 1 ,Ruisheng Zheng 1 , and Yao Chen 1 1 Shandong Provincial Key Laboratory of Optical Astronomy and Solar-Terrestrial Environment, and Institute of Space Sciences, Shandong University, Weihai, China arXiv:2106.15834v1 [astro-ph.SR] 30 Jun 2021 2 CAS Key Laboratory of Solar Activity, National Astronomical Observatories, Chinese Academy of Sciences, Beijing, China 3 Department of Space Science and CSPAR, University of Alabama in Huntsville, Huntsville, Alabama, USA 4 School of Astronomy and Space Science, Nanjing University, Nanjing, China 5 Department of Physics and Astronomy, George Mason University, Fairfax, Virginia, USA 6 College of Physics and Electric Information, Luoyang Normal University, Luoyang, China Correspondence*: Hongqiang Song hqsong@sdu.edu.cn ABSTRACT Coronal mass ejections (CMEs) are one of the most energetic explosions in the solar system. It is generally accepted that CMEs result from eruptions of magnetic flux ropes, which are dubbed as magnetic clouds in interplanetary space. The composition (including the ionic charge states and elemental abundances) is determined prior to and/or during CME eruptions in the solar atmosphere, and does not alter during magnetic cloud propagation to 1 AU and beyond. It has been known that the composition is not uniform within a cross section perpendicular to magnetic cloud axis, and the distribution of ionic charge states within a cross section provides us an important clue to investigate the formation and eruption processes of flux ropes due to the freeze-in effect. The flux rope is a three-dimensional magnetic structure intrinsically, and it remains unclear whether the composition is uniform along the flux rope axis as most magnetic clouds are only detected by one spacecraft. In this paper we report a magnetic cloud that was observed by ACE near 1 AU on 1998 March 4–6 and Ulysses near 5.4 AU on March 24–28 sequentially. At these times, both spacecraft were located around the ecliptic plane, and the latitudinal and longitudinal separations between them were ∼2.2◦ and ∼5.5◦ , respectively. It provides us an excellent opportunity to explore the axial inhomogeneity of flux rope composition, as both spacecraft almost intersected the cloud center at different sites along its axis. Our study shows that the average values of ionic charge states exhibit significant difference along the axis for carbon, and the differences are relatively slight but still obvious for charge states of oxygen and iron, as well as the elemental abundances of iron and helium. Besides the 1
Song et al. The Inhomogeneity of Composition means, the composition profiles within the cloud measured by both spacecraft also exhibit some discrepancies. We conclude that the inhomogeneity of composition exists along the cloud axis. Keywords: coronal mass ejection, magnetic flux rope, interplanetary coronal mass ejection, magnetic cloud, ionic charge state, elemental abundance This is a provisional file, not the final typeset article 2
Song et al. The Inhomogeneity of Composition 1 INTRODUCTION within ICMEs are frozen-in near the Sun [33] and Coronal mass ejections (CMEs) are an energetic the relative abundances of elements with different explosive phenomenon in the solar atmosphere first ionization potentials (FIPs) are different [1, 2, 3, 4], and they are called interplanetary obviously in the corona and photosphere [34, 35]. coronal mass ejections (ICMEs) after leaving the As the composition does not alter during CME corona. When ICMEs interact with the Earth’s propagation to 1 AU and beyond [36], the in magnetosphere, they can cause geomagnetic situ data are also employed to analyze the MFR storms [5, 6, 7] and influence the normal work of formation [37, 28, 38] and plasma origin [39, 40] high-tech equipments, such as the satellites, power of CMEs. So far the most complete composition grids and GPS navigation systems [8, 9]. Therefore, data of ICMEs are provided by the solar wind it is of great significance to grasp the trigger ion composition spectrometer (SWICS) aboard mechanisms and eruption processes of CMEs. the advanced composition explorer (ACE) and Ulysses, which can provide the charge states and The researchers of solar physics community elemental abundances of ∼10 elements [41]. have reached a consensus that CMEs result from When an ICME has its nose pass through a eruptions of magnetic flux ropes (MFRs), which spacecraft, the MFR will be detected as a magnetic refer to a volumetric current channel with the cloud (MC) [42, 43, 44]. This is schematically helical magnetic field lines wrapping around shown in Figure 1(a) (also see [45, 46] for a the central axial field [e.g., 10, 11]. In white- similar cartoon), where the purple arrow depicts a light coronagraph images, CMEs often exhibit a spacecraft trajectory crossing one ICME through three-part structure, i.e., a bright front, a dark its nose portion as marked with the blue rectangle. cavity and a bright core [12]. The cavity and Figure 1(b) displays the MFR within the rectangle, core have been considered as the MFR cross and the green dots represent the center of each section and erupted filament, respectively, for cross section. The black, blue and red arrows several decades. However, recent studies clearly depict three different trajectories. demonstrate that both the filaments and hot- channel MFRs can appear as the bright core [13, Several statistical studies have been conducted 14, 15, 16]. The hot channels are first revealed on ICME composition. Huang et al. [47] analyzed through extreme-ultraviolet passbands sensitive to the composition inside 124 MCs and reported that high temperatures (e.g., 131 and 94 Å) [17], and fast MCs have higher charge states and relative they can also be observed in hard X-ray [18] and elemental abundances (except the C/O) than slow microwave [19] images. Researchers also suggest ones. Owens [48] analyzed the charge states of that the dark cavity corresponds to a low-density carbon, oxygen, and iron within 215 ICMEs, region with sheared magnetic field in the early including 97 MCs and 118 non-cloud events, eruption stage [16]. and found that MCs exhibit higher ionic charge states than non-cloud events. Zurbuchen et al. Both theoretical and observational studies reveal [49] performed a comprehensive analysis of the that MFRs can form prior to [20, 21, 17, elemental abundances of 310 ICMEs from 1998 22, 23] and during [24, 25, 26, 27, 28] solar March to 2011 August. They reported that the eruptions, while they might exist before eruptions abundances of low-FIP elements within ICMEs in more events [29]. The numerical simulations exhibit a systematic increase compared to the solar demonstrate that the repetitive magnetic reconnections wind, and the ICMEs with elevated iron charge could play an important role during the MFR states possess higher FIP fractionation than the evolution [30]. The remote-sensing observations other ICMEs. Very recently, Song et al. [50] have been widely used to investigate the MFR reported that all the ICME compositions possess formation process [26, 31, 32]. The charge states the solar cycle dependence. Frontiers 3
Song et al. The Inhomogeneity of Composition In the meantime, some attentions are paid This implies that the two spacecraft crosses the on the composition distribution inside each MC. MC along two trajectories resembling the black Song et al. [37] found that the average values and red arrows in Figure 1(b), respectively, and of iron charge states () can present four provides us an excellent opportunity to explore regular profiles along the spacecraft trajectories whether the composition is uniform along the axis. throughout MCs, i.e., (i) a bimodal profile with We introduce the data in Section 2, and give the both peaks higher than 12+, (ii) a unimodal profile observations in Section 3. Section 4 presents the with peak higher than 12+, (iii) and (iv) the conclusion and discussion. profile remains beyond and below 12+ throughout the spacecraft trajectory inside an MC, 2 DATA respectively. Their studies demonstrated that the The data used in this paper are provided by several charge states can be nonuniform within the cross payloads on board the ACE and Ulysses spacecraft. section of a specified MC, and suggested that the ACE is in a halo orbit around the first Lagrangian above profiles are tightly correlated with both the point between the Earth and the Sun since it was impact factor of spacecraft trajectories and the launched in 1997. Ulysses was launched in 1990 formation process of MFRs. For example, the and entered an elliptical and heliocentric orbit bimodal profile implies that the MFR exists prior with an aphelion at ∼5.4 AU from the Sun and a to eruption, see Figure 8 in [37] for more details. In perihelion distance of ∼1.34 AU. Magnetic field addition, the elemental abundances are not uniform data are provided by the ACE/MAG [54] and within one cross section either [39]. Therefore, a Ulysses/Magnetic field [55] instruments. The bulk spacecraft can detect different composition profiles solar wind properties and the helium abundances when it cross one MC along the blue and black are from the Solar Wind Electron Proton Alpha arrows as shown in Figure 1(b), which are located Monitor (SWEPAM) [56] on board ACE and the in the same cross section perpendicular to the Solar Wind Observations Over the Poles of the Sun axis but with different impact factors. However, (SWOOPS) [57] on board Ulysses. The SWICS whether the inhomogeneity of composition exists instruments on board both spacecraft [58, 59] offer along the MC axis remains unclear because most the composition of heavy ions. MCs are detected only by either ACE or Ulysses. Given the MC is a three-dimensional (3D) structure 3 OBSERVATIONS intrinsically, the axial distribution of composition The criteria used to identify MCs near 1 AU mainly can reveal whether different portions along the include the enhanced magnetic field strength, MFR axis experience different eruption processes smoothly changing of magnetic-field direction, in the corona. declining profile of solar-wind velocity, low proton temperature (or low plasma β), and elevated In this paper, we report an intriguing event, He2+ /H+ ratio [42, 60, 61]. ACE detected an in which an MC was observed by both ACE MC on 1998 March 4–6 as shown in Figure 2. on 1998 March 4–6 and Ulysses on March 24– The purple vertical dashed line denotes the shock 28. At these times, both spacecraft were located driven by the ICME, and the two purple dash- around the ecliptic plane, and the latitudinal and dotted lines demarcate the MC boundaries. longitudinal separations between them were ∼2.2◦ and ∼5.5◦ , respectively. The Grad-Shafranov Figure 2(a) shows the total magnetic field (GS) reconstruction [51, 52] demonstrated that the strength and its three components in RTN MC axis oriented in an approximate east-west coordinate, where the X-axis (R) points from Sun direction with the axis direction at Ulysses being center to spacecraft, the Y-axis (T) is the cross titled slightly away from that at ACE, and both product of solar rotational axis and X axis, lying spacecraft almost intersected the MC center [53]. in the solar equatorial plane towards the west limb, This is a provisional file, not the final typeset article 4
Song et al. The Inhomogeneity of Composition and the Z-axis (N) is the cross product of X and a latitudinal separation of ∼2.2◦ and a longitudinal Y axes. The total magnetic field strength (black) separation of ∼5.5◦ when they detected the MC. increased obviously compared to the background The GS reconstruction showed that the MC axis solar wind and the Bn component (blue) changed oriented in an approximate east-west direction, and its direction gradually within the MC, which are both spacecraft almost intersected the MC center the typical features of MCs. Figures 2(b)–(d) [53], which support that ACE and Ulysses crossed present the velocity, density, and temperature of the MC at different sites along its axis and provide the ICME sequentially. The declining profile of us an excellent opportunity to explore whether the velocity indicates that the MFR is expanding. axial composition is uniform. Ulysses detected an MC on March 24–28 [62] We compare the composition measured by both as shown in Figure 3, where the magnetic field, spacecraft in Figure 4, where the black and red velocity, density, and temperature are presented lines represent the results of ACE and Ulysses, from top to bottom panels sequentially. The respectively. Please note that we only plot the velocity profile in Figure 3(b) shows that the MC composition within the MC, i.e, the left/right keeps expansion during the propagation to 5.4 boundary of each panel corresponds to the MC AU. Due to the continuous expansion, the total start/end time. The ionic charge states (C6+ /C5+ , magnetic field intensity within this MC decreased O7+ /O6+ , and ) and elemental abundances obviously near 5.4 AU compared to ∼1 AU, see (Fe/O and He2+ /H+ ) are presented in Figures 4(a)– Figures 2(a) and 3(a). A shock exists within the (e). The average values within the MC are also MC as depicted with the red arrows in Figures shown in each panel. The blue horizontal dashed 3(a) and 3(b), and the MC rear boundary can lines represent the corresponding means in the be identified through the He2+ /H+ ratio and the slow solar wind during solar maximum [65] for plasma β value [53]. Note that the shock does not reference and comparison. influence our analyses about the ionic charge states and elemental abundances. Our study shows that the average values of composition within an MC can possess significant Previous studies [63, 53] have confirmed that the differences along the axis. For example, the MC displayed in Figure (3) corresponds to that C6+ /C5+ ratio measured by Ulysses (3.04) is 12 in Figure (2). Skoug et al. [63] fitted both MCs times higher than that by ACE (0.23). In the using a force-free model of magnetic field [64], meantime, the differences could be relatively slight and found that their central speed and cloud axis for some compositions. For example, the O7+ /O6+ direction were very similar. The increase in MC ratio measured by Ulysses (0.41) is higher than diameter between 1 and 5.4 AU was also consistent ACE (0.34) by ∼21%. The means of with an expanding MC. Besides, both MCs had left- detected by both spacecraft are nearly identical handed field structure and contained the similar (∼10). As to the elemental abundance, the Fe/O magnetic fluxes, which were further confirmed ratio by ACE (0.17) is ∼42% higher than that by by Du et al. [53] with the GS reconstruction Ulysses (0.12), and the He2+ /H+ ratio of ACE technique. In addition, Du et al. [53] input the (0.093) is higher than Ulysses (0.053) by ∼75%. plasma and magnetic field data observed by ACE to their magnetohydrodynamic model to simulate Besides the average values, the composition the MC propagation and evolution to the Ulysses profiles measured by both spacecraft also exhibit location. They compared the model predictions discrepancy. Figure 4(a) shows that the C6+ /C5+ and the Ulysses observations, and identified further of Ulysses elevated at the MC center, while that Ulysses and ACE observed the same MC. As the ACE profile did not exhibit the central peak. mentioned, the ACE (at ∼1 AU) and Ulysses (at The O7+ /O6+ of Ulysses presented a multi-peak ∼5.4 AU) were located near the ecliptic plane with profile, while ACE did not detect obvious peaks Frontiers 5
Song et al. The Inhomogeneity of Composition as shown in Figure 4(b). The He2+ /H+ of ACE that Ulysses passed through the ICME along a path elevated in the second half as displayed in Figure a little far from the MC center than ACE. Figure 4(e), different from the profile of Ulysses that 4(a) showed that Ulysses detected high C6+ /C5+ at did not have large variation along the whole its central portion, which should also be observed path. These can rule out the possibility that the by ACE if the composition is uniform along the inhomogeneity of composition is induced by the MC axis. However, the C6+ /C5+ profile of ACE erosion [66] completely during propagation from did not present the elevated center. Therefore, 1 AU to 5.4 AU. Moreover, the erosion effect if assuming there were some uncertainties about should be small for this event as both MCs have the spacecraft path in the GS reconstruction, it the similar magnetic fluxes as mentioned. The will not change our conclusion about the axial profiles of and Fe/O measured by both inhomogeneity of MC composition. spacecraft also exhibit some different fluctuation The charge states of carbon, oxygen and iron characteristics as displayed in Figures 4(c) and are frozen-in sequentially in the corona, i.e., the 4(d). The above results prove that the composition frozen-in altitudes of carbon and iron are the is inhomogeneous along the MC axis. lowest and highest, respectively, in these three elements. For example, the carbon are frozen- 4 CONCLUSION AND DISCUSSION in below 1.5 solar radii [67, 68], while the iron An MC was detected by ACE at ∼1 AU and around 3–4 solar radii [69, 70]. Therefore, the Ulysses at ∼5.4 AU sequentially during March obvious differences of C6+ /C5+ along the MC 1998, when both spacecraft were located around axis imply that the different portions of MFR the ecliptic plane. The latitudinal and longitudinal along the axis experience eruption processes with separations between them were ∼2.2◦ and ∼5.5◦ , different physical parameters (e.g., temperature, respectively. The GS reconstruction [53] showed density, and velocity) in the low corona. The that the axis oriented in an approximate east-west similar values of indicate that the physical direction, and both spacecraft almost intersected parameters along the axis approached in the high the MC center, which provided an excellent corona. These should be taken into account in 3D opportunity to explore whether the composition simulations of CMEs. The axial inhomogeneity of is uniform along the axis. We compared the elemental abundances implies that the abundances ionic charge states of carbon, oxygen, and iron are not uniform throughout the MC source region (C6+ /C5+ , O7+ /O6+ , and ), as well as the on the Sun. elemental abundances of iron and helium (Fe/O Our study demonstrated that the axial composition and He2+ /H+ ) along the two trajectories. The is nonuniform inside an MC, while we can not results showed that the average values of C6+ /C5+ conclude that this large inhomogeneity exists exhibit significant difference along the axis, while within each MC. More events are necessary the differences are relatively slight but still obvious to investigate the inhomogeneity of composition for O7+ /O6+ , , Fe/O, and He2+ /H+ . along the MC axis, which needs a CME Besides the means, the composition profiles within being detected by several spacecraft sequentially the MC measured by both spacecraft also exhibit or simultaneously at different locations. This obvious discrepancies. We conclude that the becomes more realizable as Solar Orbiter was inhomogeneity of composition exists along the MC launched in 2020 [71]. Besides, Chinese solar axis. physicists are proposing several space missions The magnetic field within the MC measured [72] to explore the Sun and solar eruption further. by Ulysses did not exhibit the obvious changing The Lay a Finger on the Sun [73] will launch of direction compared with the measurements of a spacecraft to explore the solar eruption near ACE, see Figures 2(a) and 3(a). This might indicate the Sun, thus it will provide more MC cases This is a provisional file, not the final typeset article 6
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Song et al. The Inhomogeneity of Composition FIGURE CAPTIONS Figure 1. Schematic drawing of the spacecraft trajectory crossing an ICME. The black dashed and solid lines represent the shock and MFR, respectively. The red dotted lines delineate the MFR axis. The ICME nose portion is marked with the blue rectangle in Panel (a), which is enlarged for details in Panel (b). The blue, black, and red arrows describe the different trajectories of spacecraft, and the green dots denote the MC center. This is a provisional file, not the final typeset article 12
Song et al. The Inhomogeneity of Composition 15 10 (a) Magnetic Field (nT) 5 0 -5 -10 Br Bt Bn -15 400 (b) 380 Velocity (km s-1) 360 340 320 300 60 50 (c) Density (cm-3) 40 30 20 10 0 8 (d) Temperature (104 K) 6 4 2 0 08:00 16:00 00:00 08:00 16:00 00:00 08:00 Start Time (04-Mar-98 06:00:00) Figure 2. Magnetic field and solar wind parameters measured by ACE near 1 AU. (a) Total magnetic field strength (black) and its three components in RTN coordinate, (b)–(d) Velocity, density, and temperature of solar wind. The purple vertical dashed line denote the shock, and the dash-dotted lines demarcate the MC boundaries. Frontiers 13
Song et al. The Inhomogeneity of Composition 2 (a) Magnetic Field (nT) 1 0 -1 -2 Br Bt Bn 400 390 (b) Velocity (km s-1) 380 370 360 350 340 1.2 (c) 1.0 Density (cm-3) 0.8 0.6 0.4 0.2 0.0 5 (d) Temperature (10 K) 4 4 3 2 1 0 24-Mar 25-Mar 26-Mar 27-Mar 28-Mar Start Time (23-Mar-98 10:01:28) Figure 3. Magnetic field and solar wind parameters measured by Ulysses near 5.4 AU. (a) Total magnetic field strength (black) and its three components in RTN coordinate, (b)–(d) Velocity, density, and temperature of solar wind. The purple vertical dashed line denote the shock, and the dash-dotted lines demarcate the MC boundaries. The red arrows in (a) and (b) depict the shock inside the MC. This is a provisional file, not the final typeset article 14
Song et al. The Inhomogeneity of Composition 2.0 15 (a) Mean=0.23 ACE C6+/C5+ 1.5 Mean=3.04 Ulysses C6+/C5+ 10 1.0 5 0.5 0.0 0 1.0 (b) Mean=0.34 0.8 Mean=0.41 O7+/O6+ 0.6 0.4 0.2 0.0 13 12 (c) Mean=9.56 11 Mean=10.13 10 9 8 7 0.5 (d) Mean=0.17 0.4 Mean=0.12 0.3 Fe/O 0.2 0.1 0.0 0.20 (e)Mean=0.093 0.15 Mean=0.053 He2+/H+ 0.10 0.05 0.00 MC start MC end Figure 4. Composition within the MC provided by SWICS aboard ACE (black) and Ulysses (red). Panels (a)–(e) show the C6+ /C5+ , O7+ /O6+ , , Fe/O, and He2+ /H+ sequentially, and their average values are also presented in each panel. Note that the Ulysses values in Panel (a) correspond to the right ordinate. The blue horizonal dashed lines depict the corresponding means of slow wind during solar maximum [65]. The MC started from 14:30 UT on March 4 (3:00 UT on March 24) and ended at 5:30 UT on March 6 (4:00 UT on March 28) for ACE (Ulysses). Frontiers 15
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