Mercury s magnetosphere-solar wind interaction for northward and southward interplanetary magnetic field during the MESSENGER Flybys

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Mercury s magnetosphere-solar wind interaction for northward and southward interplanetary magnetic field during the MESSENGER Flybys P. M. Trávníček 1,3, D. Schriver 2, D. Herčík 3, P. Hellinger 3, J. Páral 3,4, B. J. Anderson 5, S. M. Krimigis 5, R.L. McNutt Jr. 5, Y. Saito 6, J. A. Slavin 7, S. C. Solomon 8 1 Space Science Laboratory, UCB, Berkeley, CA, USA; 2 Institute of Geophysics and Planetary Physics, UCLA, Los Angeles, CA, USA; 3 Astronomical Institute and Institute of Atmospheric Physics, ASCR, Prague, Czech Republic; 4 Department of Physics, UoA, Edmonton, Canada; 5 Heliophysics Science Division, NASA GSFC, Greenbelt, MD, USA; 6 ISAS/JAXA, Sagamihara, Kanagawa 229-8510, Japan; 7 The Johns Hopkins University Applied Physics Laboratory, Laurel, MD, USA; 8 Department of Terrestrial Magnetism, Carnegie Institution of Washington, D.C; MESSENGER/BepiColombo meeting, Boulder, November, 2010

Solar wind expansion: A homogeneous slowly expanding plasma (without any fluctuating wave energy) evolves adiabatically. The ion parallel and perpendicular temperatures T and T satisfy the CGL equations T B and T n 2 /B 2, respectively. Plasma temperature anisotropies naturally develop. Temperature anisotropy (i.e. departure from Maxwellian particle distribution function) represent a possible source of free energy for many different instabilities.

(Hellinger et al., 2006) Both panels show a color scale plot of the relative frequency of (β p,t p /T p ) in the WIND/SWE data (1995-2001) for the solar wind v SW < 600 km/s The over plotted curves show the contours of the maximum growth rate (in units ω cp ) in the corresponding bi-maxwellian plasma proton cyclotron instability (solid curves) parallel fire hose instability (dashed curves) proton mirror instability (dotted curves) oblique fire hose instability (dash-dotted curves)

Magnetosheath plasma: LEFT: In situ observations made by HIA experiment on Cluster II (Travnicek et al., 2007), RIGHT: simulated magnetosheat plasma.

Some qualitative agreement...: Figure 1: Upper panels shows several observables from a global simulation along virtual M1 flyby trajectory of virtual MESSEN- GER. Bottom panel shows in situ observed magnitude of the magnetic field and the amplitide of magnetic field oscilations. (Travnicek et al., 2009)

Figure 2: Schematic views of Mercury s magnetosphere for (left) a northward IMF highlighting the features and phenomena observed by MESSEN- GER during its flyby of 14 January 2008 (from Slavin et al., 2008) and for (right) a southward IMF as observed by MESSENGER on 6 October 2008 (from Slavin et al., 2009).

run Hyb1 run Hyb2 Spatial resolution x 0.4 d psw Spatial resolution y = z 1.0 d psw Spatial size of the system L x = N x x 237.6 d psw Spatial size of the system L y = L z = N y y 288 d psw Mercury s radius R M 15.32d psw Temporal resolution (simulation time step) t 0.02 ωgpsw 1 Time sub-stepping for electromagnetic fields t B t/20 = 0.001 ωgpsw 1 Simulation box transition time 59.4 ωgpsw 1 Duration of each simulation 120.0 ωgpsw 1 β psw 1.0 β esw 1.0 Number of macro-particles per cell (specie 0) 80 50 Number of macro-particles per cell (specie 1) 100 100 Total number of macro-particles 3.9 10 9 2.5 10 9 Solar wind velocity v psw 4.0 v Asw Orientation of IMF in (X,Z) plane + 20-20 Mercury s magnetic moment M 250 nt R 3 M 4π/µ 0 (no tilt) n psw, B sw, v Asw, d psw, ω gpsw = 1 (in simulation units)

Figure 3: Upper panels show the simulated proton density n p in two planes: (a) the equatorial plane (X, Y) and (b) the plane of main meridian (X, Z) from simulation Hyb1 (northward IMF) at t = 100ωgpsw. 1 Bottom panels (c) and (d) show the same information from simulation Hyb2 (southward IMF).

Table: List of markers used for the orientation along the (virtual) M1 and M2 trajectories Marker description color r/r M for M1 r/r M for M2 SI shock inbound yellow 8.0-1 white 5.5 - MI magnetopause inbound green 2.9 3.9 2 white 2.6 2.7 3 white 1.3 1.4 CA closest approach red 0.1 0.1 MO magnetopause inbound green 1.2 0.9 4 white 1.6 1.2 SO shock outbound yellow 2.1 1.6

Figure 4: An example of a plasmoid formed in the magnetotail marked by a white arrow on panel (a) which shows simulated proton density n p in the equatorial plane (X, Y) (southward IMF). The plasmoid structure has roughly 0.5R M in diameter (see panels b-d) and its life-span from time of its formation to its dissipation is 10 20ωgpsw. 1 The plasmoid tends to move slowly down the magnetotail away from the planet.

Figure 5: Panels a and g show the density n p /n psw, panels b and h show magnitude of the magnetic field B/B sw, panels c and i display the proton plasma temperature T p /T psw, panels d and j show the proton temperature anisotropy T p /T p, panels e and k show the X-component of the plasma bulk velocity v px /v Apsw, and panels f and l displays the proton kinetic pressure p p /p psw.

Figure 6: Proton velocity distribution function f p along the M1 trajectory from simulation Hyb1 with northward IMF (left panels) and along the M2 trajectory in simulation Hyb2 with southward IMF (right panels). Panels show different cuts of f p calculated along the corresponding spacecraft trajectory from all macro-particles within a sphere with radius r vdf = 0.9d psw.

Figure 7: Density of ions ejected from Hermean surface v psw = 5v Asw vs. v psw = 3v Asw (in units of 10 4 n psw ) (Travnicek et al., 2008):

Figure 8: Precipitation of solar wind protons onto the surface of Mercury as seen in our simulation with (a) northward IMF and with (b) southward IMF. Macro-particles were collected over a time period of T = ωgpsw 1 at t = 100 ωgpsw. 1 The longitude 0 and the latitude 0 correspond to the dayside subsolar point. Both panels show the number of protons n p in the units of the solar wind proton density n psw absorbed by Mercury s surface at the given location per accumulation time ωgpsw 1 per (c/ω ppsw ) 2.

Figure 9: Distance from marginal stability criteria given by ( a Γ = sgn(a) (β p β 0 ) b T ) p + 1 T p along spacecraft trajectory M1 in simulation Hyb1 (left panels) and along M2 in Hyb2 (right panels) for (a and e) the proton cyclotron instability, Γ pc, (b and f) the mirror instability, Γ mir, (c and g) the parallel fire hose, Γ pf, and (d and h) the oblique fire hose, Γ of.

Figure 10: On first six panels the three time-averaged magnetic components are shown: B x (a/h, red line), B y (b/i, green line), and B z (c/j, blue line). The second six panels displays relative variations of the three magnetic components from the averaged value at time t = 100ωgpsw 1 δb x / B (d/k, red line), δb y / B (e/l, green line), and δb z / B (f/m, blue line). The last two panels (g/n) show the relative fluctuating magnetic energy δb 2 / B 2.

Figure 11: Time evolution of the absolute value of (a and e) electric E(r,t)/(B sw v Asw ) and (b and f) magnetic B(r,t)/B sw fields and the corresponding spectra (c and g) E(r,ω) and (d and h) B(r,ω) from simulation Hyb1 with northward IMF along the M1 trajectory (left) and from simulation Hyb2 with southward IMF along the M2 trajectory (right).

Figure 12: Cross correlation B,n (south-ward IMF): Figure 13: Compressibility δb 2 /δb2 (south-ward IMF):

Pavel M. Tra vnı c ek et al. MESSENGER/BepiColombo meeting, Boulder, November, 2010

Pavel M. Tra vnı c ek et al. MESSENGER/BepiColombo meeting, Boulder, November, 2010

Pavel M. Tra vnı c ek et al. MESSENGER/BepiColombo meeting, Boulder, November, 2010

Pavel M. Tra vnı c ek et al. MESSENGER/BepiColombo meeting, Boulder, November, 2010

Summary 1 of 3 The overall magnetospheric features of the simulated system are similar to those in the terrestrial magnetosphere. We observe typical series of thin and thick transition regions appear including bow shock, magnetosheath, magnetopause, magnetotail, magnetosphere itself, plasma belt, etc. The simulated results are in a good qualitative agreement with in situ observations of MESSENGER. The oblique/quasi-parallel bow shock region is a source of backstreaming protons filling the foreshock where they generate strong wave activity. These large-amplitude waves are transported with the solar wind to the adjacent magnetosheath. In the quasi-perpendicular magnetosheath, waves are generated near the bow shock and locally by the proton temperature anisotropy.

Summary 2 of 3 For the low-β plasma considered here, the dominant instability in the quasi-perpendicular magnetosheath is the proton cyclotron instability, a result confirmed by the density-magnetic field n p,b correlation analysis. The positions of the foreshock and the quasi-parallel and quasi-perpendicular bow shock regions are controlled by the IMF orientation. Magnetospheric plasma also exhibits a proton temperature anisotropy (loss cone) with a signature of (drift) mirror mode activity. For both orientations magnetospheric cusps form on the day side, at higher latitudes for northward IMF compared to southward IMF. The day side magnetosphere has a smaller size for southward IMF. These differences are likely related to different locations of reconnection regions for the two orientations.

Summary 3 of 3 In the case of southward IMF the night-side magnetospheric cavity in the Z direction is wider. We found strong sunward plasma flows within Mercury s magnetotail. For southward IMF the sunward plasma flows is stronger owing to a presence a strong sunward proton beam, a signature of the reconnection process occured further downtail in the thin current sheet (along with the formation of plasmoids). These energetic protons likely contribute to the thermal and dynamic pressure of the magnetospheric plasma widening the magnetospheric cavity in the case of southward IMF. Both IMF configurations lead to a quasi-trapped plasma belt around the planet. Such a belt may account for the diamagnetic decreases observed on the inbound passes of both MESSENGER flybys.