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Magnetosphere_Plasmasphere_Guillory

Course: CSI 769, Fall 2008
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Magnetosphere The and Plasmasphere CSI 769 3rd section, Oct. Nov. 2005 J. Guillory Lecture 7 (Oct.18) Bow shock scattering; Magnetosphere structure, charged particle orbits Advance reading: Gombosi Ch.1 & 6 (and/or Parks Ch. 4, 8 &10), Tascione Ch.4, and Sci. Am. Apr. 1991: Collisionless Shock Waves Lecture 8 (Oct. 25) Dawn-dusk electric field; gyrokinetic codes; magnetotail & current...

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Magnetosphere The and Plasmasphere CSI 769 3rd section, Oct. Nov. 2005 J. Guillory Lecture 7 (Oct.18) Bow shock scattering; Magnetosphere structure, charged particle orbits Advance reading: Gombosi Ch.1 & 6 (and/or Parks Ch. 4, 8 &10), Tascione Ch.4, and Sci. Am. Apr. 1991: Collisionless Shock Waves Lecture 8 (Oct. 25) Dawn-dusk electric field; gyrokinetic codes; magnetotail & current sheet Advance reading: Gombosi Ch. 7 & 14, Parks Sec. 7.8 & 11.5), Tasc. Ch 5 Lecture 9 (Nov. 1) MHD codes & boundary conditions; parallel E-fields & precipitation; satellite diagnostics Advance reading: Gombosi Ch. 4 , Parks Sec. 7.7 In conjunction with the last topic: Joel Fedder (NRL) is scheduled for a Space Sciences Seminar on his MHD magnetosphere code, Wed. 10/26, 3:00 p.m., 206 Please attend. Bow shock Perpendicular shock Oblique shock waves & particles in upstream foreshock From Sagdeev & Kennel, Sci. Am. Apr. 1991 Foreshock region Current in shock layer From G. K. Parks, Physics of Space Plasmas, AW 1991 Components of v along B and the shock surface, for incident & reflected particles Repeated reflections from solitons near nonsteady shock From Sagdeev & Kennel, Sci. Am. Apr. 1991 ISEE In-situ B-field measurements across bow shock Collisionless shock structure Hybrid code simulation by M. Leroy et al, GRL 8, 1269 (1981) C. S. Wu, D. Winske et al., Sp.Sci. Revws 37, 63 (1984) Ion distributions near shock Phase space in normal direction Electric potential structure Incoming particle scattering Stochastic Injection of Energetic Particles from Bow Shock and from Tailward reconnection region Nonadiabatic because gyroradius ~ B scale-length locally Particle orbit diffusion due to field fluctuations Some particles accelerated near bow shock and magnetic reconnection regions Magnetic field geometry Model field topology for northward IMF IMF + dipole Model field topology for southward IMF From G. K. Parks, Physics of Space Plasmas, AW 1991 Field line motion with southward IMF (after J. Dungey, 1961). North is DOWN in this fig. From G. K. Parks, Physics of Space Plasmas, AW 1991 Detail of day-side reconnection field & flows Field near reconnection region (more on reconnection later) Inner magnetosphere: Energetic proton density contours, showing South Atlantic anomaly Mag. dipole offset from rotation axis and tilted Van Allen Belts Inner belt energetic protons from cosmic ray albedo neutron decay (CRAND) and from diffusion from elsewhere. Outer belt somewhat energetic ions from solar wind injection and accelerated from ionosphere, and diffusion from elsewhere. Approx. avg. contours of spatial distribution of trapped energetic protons & electrons (Van Allen, 1968) NSSDC quiet-time static empirical model (AP-8) of energetic proton flux density J. D. Gaffey & D. Belitza, J. Spacecraft & Rockets 31, 172 (1994) NSSDC quiet-time static empirical model (AE-8) of energetic electron flux density J. D. Gaffey & D. Belitza, J. Spacecraft & Rockets 31, 172 (1994) Calculated energetic proton lifetimes (x ne) in inner Van Allen belt under quiescent conditions R. C. Wentworth, "Pitch Angle Diffusion.. ", Phys. Fluids 6, 431 (1963) Satellite measurement of proton density vs L, during quiet and CME-arrival conditions OGO-5 measuremts R. Chappell et al, JGR 75, 50 (1970) Squeezing the magnetosphere: quasistatic pressure balance estimate Ram pressure of CME arrival + IMF v2 vs interior particle+field pressure Increasing B produces inductive E fields and currents Energy transfer from CME to magnetosphere: time delay From Tascione, after Baker et al, JGR 90, 1205 (1985) Particle currents in the magnetosphere Ring current reduces B at surface After CME compression of day-side magnetosphere, Bhoriz at RE decreases ~1 hr after sudden-commencement rise, and stays reduced for 1-3 days, gradually returning to pre-storm values. This is correlated with injection of 10100keV magnetotail particles into ringcurrent region. Global magnetic change index (Tascione sec 4.7) K: integer, 0 9 : 3-hr average of B, on quasi-log scale, for each of several ground locations Kp: average of K's from 12 locations between 48 & 63 degrees latitude, averaged with local & seasonal variation filtered out Dst index (Tascione p.51) Hourly avg. (from 4 low-latitude ground stations) of changes in horizontal component of B, with seasonal variations subtracted out. A measure of changes in ring-current intensity AE (Auroral electrojet) index Spread between max positive & max negative changes in horizontal component of B at several auroral-latitude locations, 62.5 71.6 degree latitudes Global AE = maximum of the positive changes in horizontal component at any such location maximum of the negative changes in horizontal component at any such location Electric fields and more currents & plasma flows Plasma corotation-induced E field: E = - ( x r) x B = BoRE (RE/r)2 (2sin e + cos er) approximately, for dipole B. Inner part of earth's magnetosphere corotates. Added to dawn-dusk E field due to solar wind Model E-fields in equatorial plane Collisionless plasma flow (not currents) in E perpendicular to B vD/c = E x B /B2 (cgs) , if (as usual) E (cgs) << B (G) B-Field-aligned currents and fields High-conductivity acceleration-limited currents along B-lines Downstreaming charges arrive & die at dense ionosphere, producing auroral glow. Upstreaming charges from ionosphere populate plasmasphere and mag'sphere. From Tascione Field-aligned ion beam distributions in plasma sheet boundary layer from ISEE-1, 16 Feb 1980. (T.E. Eastman, R.J. DeCoster & L.A. Frank, in Cross-Scale Coupling in Space Plasmas Velocities for steady-state polar wind with no field-aligned current S. B. Ganguli, H. B. Mitchell, & P. Palmadesso, NRL Memo Report 5673, 1985 Velocities (magnitude) 70 min after onset of a current of -1 A/m2 at 1500 km S. B. Ganguli, H. B. Mitchell, & P. Palmadesso, NRL Memo Report 5673, 1985 Heating by these currents S. B. Ganguli, H. B. Mitchell, & P. Palmadesso, NRL Memo Report 5673, 1985 Particle orbits in inner magnetosphere Assumptions: B/B is small over a gyroradius & gyroperiod Motion of the particles of interest is collisionless (except if the hit the ionosphere, where they die) Charged particle orbits, static B: (for B quasistatic and gradB/ B << rg-1 ) Fast gyration about field line North-south bounce due to "magnetic mirror" force Slow east-west drift due to inhomogeneous magnetic field ExB drifts due to electric fields Gyration about B-line: rg = mv/qB (MKS units) c = qB/ m (MKS units) or qB/mc (cgs) Sub-kHz to MHz angular frequencies (2f): c ~ 1.76x107 B(G)/ for electrons ~ 104 B(G) for protons Scale of Proton Gyroradius & Gyrofrequency 0.1 G rg(1 MeV) = 10 km A ( perp/ ) ci = 1000 rad/s; f ci = 160/s .01 G rg(1 MeV) = 100 km A ( perp/ ) ci = 100 rad/s; f ci = 16/s tN-S ~ 1.3 s (L=2) ~50 gyroperiods Adiabatic invariants General form hpdq 1. Magnetic moment invariant = pperp2/2mB ( = qrg2/2c) 2. Bounce invariant J = ppards 3. Longitudinal drift invariant (L shell) North-South bounce motion Determined by pitch-angle of fast velocity vector at magnetic equator, And by energy conservation. If Eparallel =0, each particle's parallel energy is converted to perpendicular energy until it has no more parallel momentum, then it reverses its parallel motion. Effective magnetic mirror force When a very-small-size dipole moves along magnetic field lines of an inhomogeneous field, there is an effective "force" parallel to the field line that has magnitude & sign Fparallel = - d B/ds where s measures arclength along the magnetic field. A dipole entering a region of stronger magnetic field thus has a retarding force on it, slowing its parallel motion. One may ask "How can this be? The magnetic force on a charged particle, qvxB/c, is always perpendicular to v and so can do no work on the particle if B is constant in time." In fact, the particle kinetic energy, m vz 2 + m vy 2 , does not change; only the partition between vz and vy changes. And this change of the direction of v is due to the fact that the particle is not exactly at the position of its guiding center, so the directions of the field lines of B at the particle are not quite the same on opposite sides of the gyro-orbit, leading to a gyro-averaged vxB force that has a parallel component. The constancy of = ( m vperp 2 ) /B during collisionless nonrelativistic charged particle motion along B, and the constancy of m vpar 2 + m vperp 2 = KE, mean that vpar can be expressed in terms of its value at some reference point so by m vpar 2 = ( m vpar 2)o - (B - Bo), i. e. the parallel motion is derivable from a potential, B. (If there is also a static electric field parallel to the magnetic field, the effective potential for parallel motion of the "dipoles" generalizes nicely to B + q .) When B has a minimum at some reference point so along each magnetic field line encircled (or "enhelixed") by a particle, the collisionless parallel motion will be that of a particle in an effective potential well (remember, though, that the magnetic potential depends on the constant , which is not the same for all particles !). Half of Loss-cone(s) in magneticequator velocity-space Shown for no parallel electric field Particle turns around where ( & if) vpar 2 = 0, where all the energy is converted to perpendicular energy, i. e. at B such that ( m vpar 2)o - (B - Bo) - q( - o) = 0. This turning point equation, with the help of magnetic moment constancy ( m vperp 2 ) /B = ( m vperp 2 ) o /B o , specifies the turning points as where ( m vpar 2)o - ( m vperp 2 ) o (B/Bo - 1) - q( - o) = 0. When there is negligible parallel electric field this is simply B /Bo = 1 + (vpar2 / vperp 2)o , so each trapped collisionless particle mirrors, i.e. changes its sign of parallel velocity, at a value of B/Bo that depends on its pitch angle at the minimum of the magnetic field. In the reference-plane velocity space {vpar o, vperp o}, one can draw a boundary for any value of B1, such that particles with |v perp o | above the boundary will be trapped in the spatial region where B < B1 , and those with |v perp o | below the boundary can progress to higher values of B than B1 if nothing else stops them first. Loss regions in midplane velocity space(s) when there is a steady parallel E field toward the ionosphere (positive potential on field line) trapped Lost to ionosphere in 1 bounce Positive potential occurs so as to reduce electron loss rate to the (increased) ion loss rate. Same thing in midplane energy space Particle gyration & bounce in inner magnetosphere From T. Tascione, Intro to the Space Environment (From G. K. Parks, Physics of Space Plasmas) Energy conservation (with E=0) o = pitch angle at mag. Equator ( = 0) Bo = field strength at mag. Equator Charged particle longitudinal drift due to magnetic field inhomogeneity Cross-field drift of and + particles under force F From Parks, Physics of Space Plasmas Longitude-drift periods (from Parks) Drift Rate (in terms of energy, mag. Moment, bounce invariant, bounce period, and L) For static magnetic dipole, with E = 0: <d /dt> = - (2cLRE /e ) (3/2 - J/4 ) with = ds/vy = N-S bounce period, and J = m vy ds = bounce action integral. T. G. Northrop, in Radiation Trapped in the Earth's Magnetic Field, B. M. McCormac, ed., Reidel 1966 For nonstatic dipole B without shear (but changes slow enough to preserve J and ): <d /dt> = - (2c/e )rd (B/B ){(2m(H - B - q)) [(B /B)( /L)(rB/B ) + r B/L ] - (2m(H - B - q))- [2m(H -q)r lnB/L+ rq /L]} with = electric potential and = longitude angle. T. J. Birmingham, "Guiding center drifts in timedependent meridional magnetic fields", Phys. Fluids 11, 2749 (1968) Ring Current from drifting, gyrating particles (Parks sec. 7.7.4, with corrections) (a) From guiding-center drifts Jgc = e (ni vdrift(i) - ne vdrift(e-) ) = n(KE) e [(KE/e) (1 + cos2) bxgradB /B2] bxgradB/ B2 = -3/rB i at = 0 so Jgc ~ -3n[<KE>i + <KE>e ]/rB (for equatorial particles) Igc = JgcdV /2r ~ - 3Etot/(2r2B) (b) From pressure gradient of gyrating particles JgradPperp xB = grad (n[<KE>i + <KE>e ]perp.) IgradPperp ~rdrd grad (n[<KE>i + <KE>e ]perp.)/B ~ + Etot/2r2B so this (b) current reduces the average net ring current magnetic field by about 1/3. The net ring current then reduces the magnetic field at the magnetic equator at 1 RE by B/B = - (2/3) Etot/Emag , where Emag is the volume-integrated energy in magnetic field. See more general derivation in R. L. Carovillano & J. J. Maguire, in Physics of the Magnetosphere, (Carovillano et al, ed's), Reidel, 1968. Ring current usually peaks at 4-5 RE (quiet); at 2-4 RE (storm) Mean proton energy: 85keV (90% are in 10 - 250 keV) Quiet-time ring current density ~ 10-8 A/m, increased by factor of several during storms. See Tascione sections 5.4.3, 5.9, 5.10 Typical energy spectrum of energetic protons Power delivered by solar wind/ CME Power = Current x (-vxB)dl Current varies as c, i.e. as B Power varies as B2v sin4(/2) where = angle of IMF from northward sin = 0 for northward IMF sin = 1 for southward IMF J. K. Alexander, L.F. Bargatze, J. L. Burch et al., "Coupling of the solar wind to the magnetosphere" in Solar Terrestrial Physics D.M. Butler & K. Papadopoulos, ed's. NASA, 1984 Tascione, sections 3.7, 5.8, 5.10 Energy injection into ring current Empirical approximate formula for ring-current addition rate in terms of Dst and ring-currentenhancement lifetime t: UR(J/hr) = 4x1010(dDst/dt + Dst/ t) (Tascione sec.5.10) See Akasofu [Sp. Sci Rev, 28, p160, 1981] for a related formula: |Dst| ~ 60*(log [epsilon] - 18)**2 + 25 where epsilon = B2v sin4(/2) Nov. 6, 2001 event Southward B component ~80 nT Unusually sharp CME shock with speed >1000km/s Nearly perpendicular shock L=8 SEP's showed sharp rise in # on shock arrival L=3: 14-25 MeV protons arrived minutes before shock and were trapped when shock arrived via front-side & cusp entry stayed trapped til Oct `03 storm detrapped them 3-20 MeV electrons enhanced at first, but deep dropout of total >1MeV electron flux at L=3-8, with few-days recovery time Mary Hudson's PIC particle follower, riding on Fedder-Lyons-Mobarry MHD code, followed particles from ACE input data Cluster data (Morikis & Kistler, UNH) Cluster apogee 20 RE, perigee 4 RE, every ~48 hrs 50 hr orbit, 2hrs in magnetosphere at ~4RE Sampex data: ~1-3 MeV electrons, 10-20 MeV electrons Stochastic Injection of Energetic Particles from Bow Shock and Tailward reconnection region Nonadiabatic because gyroradius ~ B scale-length locally Timescale varies as 5/4 -1/2 Flux density injected varies as density at low densities M. G. Rusbridge, "Non-adiabatic effects in charged-particle motion near a neutral line", Plasma Physics 19, 1087 (1977) and "Non-adiabatic charged particle motion near a magnetic field zero line", Plasma Physics 13, 977 (1971) W. Peter & N. Rostoker, "Theory of plasma injection into a magnetic field", Phys. Fluids 25, 730 (1982) J. Chen & P. J. Palmadesso, "Chaos and nonlinear dynamics of single-particle orbits in a magnetotail-like magnetic field", JGR 91, 1499 (1986); errata 91, 9025 (1986) Particle Diffusion Dominated by field fluctuations in storm conditions. Lee/Sydora Gyrokinetic Code calculates for Tokamaks. Diffusion model: W. N. Spjeldvik, "Consequences of the duration of solar energetic particle-associated magnetic storms on the intensity of geomagnetically trapped protons", in Modeling Magnetospheric Plasma, T.E. Moore & J.H. Waite, ed's. AGU 1988 J.M. Cornwall, " Radial diffusion of ionized helium and protons: a probe for magnetospheric dynamics" JGR 77, 1756 (1972) df/dt = L2d/dL (DLLL-2df/dL) - Af + G -1/2df/d A = charge exchange factor, G = Coulomb slowing DLL(L, ) given in Cornwall (1972), assumes power-law ( -2) spectrum of fluctuations in B and E. Flow dynamics of charge-neutralized plasma fluid: [t + Ugrad]U = (1/ o)[(Bgrad)B - grad(B2/2)] - (1/r) divP + g P = pressure tensor = pperp I + (ppar - pperp)bb (div P )perp = gradperp pperp - (ppar - pperp)(bgrad)b (div P )par = (bgrad)ppar + (ppar - pperp)divb div P = gradp for isotropic pressure [t + Ugrad] (pperp/B) = 0 [t + Ugrad]( pparB2/ 3) = 0 G.F. Chew, M.L. Goldberger, & F.E. Low, Proc. Roy. Soc (Lon.) A236, 112 (1956) N.A. Krall & A.W. Trivelpiece, Principles of Plasma Physics, McGraw Hill 1973 Magnetosphere Simulation Particle codes, incl. gyro-averaged particle followers (e.g. Mary Hudson's at NASA & R. M. Winglee code at UW) Fluid (MHD) codes Fedder-Lyon-Mobarry code (NRL) BATSRUS (U. Michigan) Spicer code(s): Odin etc. Modified MHD: Winglee Hybrid (particles and MHD) codes Rice MSM code Kazeminezhad 2D code Models are available for community use: CCMC: http://ccmc.gsfc.nasa.gov/ UCLA: http://www-ggcm2.igpp.ucla.edu/ Source codes in public domain: GEDAS (Japan, T. Ogino) (Japan, T.) http://gedas22.stelab.nagoya-u.ac.jp/simulation/jst2k/hpf02.htm BATSRUS: http://csem.engin.umich.edu/ NRL: http://www.lcp.nrl.navy.mil/hpcc-ess/software.html FCTMHD3D (C.R. DeVore) AMRMHD3D (P. MacNeice) Zeus 3D MHD (Michael Norman): http://zeus.ncsa.uiuc.edu:8080/lca_intro_zeus3d.html Codes: CFD http://icemcfd.com/cfd/CFD_codes.html Fedder-Lyon-Mobarry (FLM) Code: distorted spherical coord. grid MHD eqns as solved in FLM code J. G. Lyon, "Numerical methods used...", Proc. ISSS-7, 26-31 March 2005 FLM Code Does not include particle acceleration (since it's an MHD code) but does show overall energetics of CME coupling for southward IMF, and shows very weak coupling for northward IMF. Coupling is by fast magnetosonic wave propagation from magnetopause. Shows Poynting vector energy flow from these waves. BATS-R-US Code (U. Mich.) Block-Adaptive-Tree Solarwind Roe-Upwind Scheme) Gombosi et al 3D MHD, Eulerian xyz grid (x toward sun) Block-adaptive mesh refinement Cell-centered finite volume method Upwind-differencing Riemann solver (Powell 1994) Efficiently parallelized High computation/communication ratio Runs on Sun, SGI shared memory, Cray T3D & T3E, and IBM SP2 Simulation box typically 192 RE wide, +192 to -384 RE in x direction Cell size typically .25 RE to 32 RE Inner boundary at 3 RE (no mass flow across it) coupled along assumed dipole B lines to finite tensor conductivity, heightintegrated ionosphere layer at 1 RE [M. L. Goodman, Ann. Geophys. 13, 843 (1995)] Dipole inner field separated off [as in Tanaka, JGR 100, 12057 (1995)] BATSRUS simulation of outermost closed B lines, for Parker spiral IMF Winglee modified MHD code R.M. Winglee, "Regional Particle simulations and Global Two-fluid Modeling of Magnetospheric Current Systems", in J. L. Horowitz et al., Cross Scale Coupling in Space Plasmas, QC 809.P5 C76, 1995 Uses a 2-fluid modified MHD set of equations Gets the injection of currents & plasma across B-field lines Rice MSM Code Rice MSM Code E. C. Roelof, B. H. Mauk, R. R. Meier, K. R. Moore, & R. A. Wolf, "Simulation of EUV and ENA magnetospheric images based on the Rice Convection Model", in Instrumentation for Magnetospheric Imagery II, SPIE 1993. (ENA = energetic neutral atom) Streamlined version of RCM = MSM (magnetic specification model), has non-self-consistent E field from "phenomenological convection patterns". F. Kazeminezhad new code 2D hybrid Triangular finite-element grid MagnetoTail Magnetic Reconnection Modeling driven reconnection 2-D Compressible Resistive MHD Simulation of Driven Reconnection S. -P. Jin & W. -H. Ip, Phys. Fluids B3, 1927 (Aug. 1991) Plasma beta at inflow boundary of simulation box: initially 0.1 Alfven Mach # of inflow: MA = 0.15 (for -.5 < z <+.5), tapering to 0 at |z| >1 High Lundquist Number: 400 - 2500 (very low resistivity) Lundquist Number = ratio of JxB force to resistive mag. diffusion force Initial Bz(x) profile: half sine wave -w < x < w (w <1), 1 for |x| > w (odd function of x) Initial state in pressure balance Grid resolution in x: x increases 13% every step. Grid concentrated in center near x = 0. Time in units of Alfven-wave x-crossing time. Sim. ~ 40 units. Implicit integration scheme: Y. Q. Hu, J. Comp. Phys 84, 441 (1989) B lines, v vectors, T(%), (%) Time S-P. Jin & W-H. Ip. 2D compressible MHD sim. , PhysFluids B 3, 1927 (1991) PIC simulation of particle orbits near a magnetic reconnection line H-J. Deeg, J.E. Borovsky & N. Duric, Phys Fluids B 3, 2660 (1991) Geometry and results shown in following slides Region where "magnetic insulation" fails, i.e where B is weak H-J. Deeg, J.E. Borovsky & N. Duric, Phys Fluids B 3, 2660 (1991) Geometry for PIC simulation of particle acceleration near reconnection region H-J. Deeg, J.E. Borovsky & N. Duric, Phys Fluids B 3, 2660 (1991) Proton orbits in views 1 & 2 Proton orbit in views 2 & 3 Energy gain of protons entering near neutral point H-J. Deeg, J.E. Borovsky & N. Duric, Phys Fluids B 3, 2660 (1991) Final proton energy vs initial proton energy, for protons initially incoming near neutral point H-J. Deeg, J.E. Borovsky & N. Duric, Phys Fluids B 3, 2660 (1991) Turbulence in B-line reconnection Matthaeus & Lamkin, PhysFluids 29, 2513 (1986) Contours of constant J Magnetic field Fluid streamlines Contours of constant vorticity Disturbed magnetotail reconnection at current sheet can launch plasmoids & relax (as well as accelerating particles forward & backward) E. W. Hones, Sci. Am. March 1986 Some references on field-line reconnection Observations by Cluster satellite: A. Runov et al., Geophys. Res. Lett. 30, 1579 (2003) Observations by WIND satellite: T. D. Phan et al., Nature 404, 848 (2000) ; M. Oieroset, R. P. Lin et al., Nature 412, 414 (2001) 3D PIC simulation: P.L. Pritchett & F. Coroniti, JGR 109, A 01220 (2004) 2D simulation with "guide field" normal to plane: P. L. Pritchett (UCLA): "Onset & Saturation of Guide-field Magnetic Reconnection", Phys. Plasmas 12, 062301 (June 2005) More references on field-line reconnection Particle acceleration & orbits: H-J Deeg, J.E. Borovsky & N. Duric (LANL), "Particle acceleration near X-type magnetic neutral lines", Phys. Fluids B 3, 2660 (1991) Electric field enhancements (EFE): J. D. Scudder & F. S. Mozer, "Electron demagnetization and collisionless magnetic reconnection in <<1 plasmas", Phys. Plasmas 12, 092903 ( Sept. 2005) Role of microinstabilities (anomalous resistivity): M. Ugai & L. Zheng, "Conditions for fast reconnection mechanism in 3D" Phys. Plasmas 12, --- ( Sept. 2005) Satellite sensors Radiation Belt Mappers GOES (ESA) Cluster, Vortex Doublestar Polar Image Geotail (Japan) ISEE1-3, IMP1-8 & other former sats with elderly data Ionospheric satellites measuring energetic particles: DMSP, SAMPEX etc. Upcoming: NPOESS & NPP Living With A Star Research Network Pole Sitter Solar Dynamics Observatory L1 Solar Sentinel Ionospheric Mappers L2 Radiation Belt Mappers Distributed network of spacecraft providing continuous observations Geospace Dynamics Nework with constellations of smallsats in key regions of geospace. How to find satellite orbit info (& related data) http://pwg.gsfc.nasa.gov/orbits /menu_orbits.html Orbits for Wind, ISTP, Cluster, Image, Polar Radiation Belt Mappers Understand origin and dynamics of the radiation belts. Determine time & space-dependent evolution of penetrating radiation during magnetic storms. First Element: multiple spacecraft in 3 petal equatorial orbits; in-situ measurements. Second Element: Add higher latitude coverage. GOES description GOES (Geostationary Operational Environmental Satellites, NOAA/ NESDIS) 2 spacecraft at 75deg W and 135deg W, one at 98deg W and/to 108deg W, moved with season. 35,600 km equatorial orbit, spin axis parallel to earth's spin axis. Telemetry to NOAA ERL, Boulder. measuring: solar X-rays, B field at satellite, high energy particles, via SEM (Space Environment Monitor). SEM has (a) Total Energy Detector (TED)- intensity of energetic particles 0.320 keV in 11 bands; (b)Medium-Energy Proton & Electron Detector (MEPED) - 30 keV60MeV; (c) High-Energy Proton & Alpha Detector (HEPAD) - 370 MeV- >850 MeV. Cluster & Vortex Cluster & Doublestar (DSP) Cluster data (Morikis & Kistler, UNH) Cluster: (ESA & NASA, 2000) Cluster apogee 20 RE, perigee 4 RE, every ~48 hrs 50 hr orbit, 2hrs in magnetosphere at ~4RE Some Cluster results Cluster has now proven the existence of The Kelvin-Helmholtz instability as an important solar wind entry process. These large-scale vortices could lead to substantial entry of solar wind to populate the Earth's magnetosphere. (Tai Phan, UCB SpSciLab.) Polar: orbit (http://pwg.gsfc.nasa.gov/orbits/aaareadme_polarpar.html The POLAR orbital parameter plots show the radial distance, eccentric dipole (ED) magnetic local time (MLT), and eccentric dipole L-shell value. The darker segments correspond to times when one of the magnetic footpoints (traced down to 100 km altitude using the T89, Kp=3-,3,3+, model) falls in one of the following regions: cusp, cleft, or auroral oval. Polar: observation of an event Images in visible light from the Polar satellite's Visible Imaging System compares the northern auroral regions on May 11, 1999, and a more typical day on November 13, 1999. Credit: University of Iowa/NASA. Polar, cont'd May 11, 1999 event: solar wind flux dropped a lot produced an intense "polar rain" of electrons over one of the polar caps of Earth. Electrons flow unimpeded along the Sun's magnetic field lines to Earth and precipitate directly into the polar caps, inside the normal auroral oval. Such a polar rain event was observed for the first time in May 1999 when Polar detected a steady glow over the North Pole in X-ray images. Jack Scudder, U. Iowa, PI for the Hot Plasma Analyzer on NASA's Polar spacecraft. Scudder and Don Fairfield of Goddard had predicted the details In parallel with the polar rain event, Earth's magnetosphere swelled to five to six times its normal size. NASA's Wind, IMP-8, and Lunar Prospector spacecraft, the Russian INTERBALL satellite and the Japanese Geotail satellite observed the most distant bow shock ever recorded by satellites. SAMPEX spacecraft reveal that in the wake of this event, Earth's outer electron radiation belts dissipated and were severely depleted for several months afterward. Image Satellite ENA sensors Image website (Southwest Research) http://pluto.space.swri.edu/IMAGE/ HENA: D. G. Mitchell and HENA team, the Johns Hopkins University Applied Physics Laboratory MENA: C. J. Pollock and J.-M. Jahn, Southwest Research Institute HENA Images of ENA fluxes during the July 15-16 2000 Geomagnetic Storm Geotail (Japanese space program) Instruments: Solar wind, hot plasma, & composition analyzers, directional data on electrons/protons/helium above 20keV, protons above 400keV, electrons above 120kev, B field, etc. http://wwwistp.gsfc.nasa.gov/istp/geotail/geotail_key_para meters.html DMSP Satellites: Orbits: circular, sun-synchronous, polar, ~850km alt. 98.7 deg inclination, period 101 min., revisit time 6 hrs. Global coverage @ 12hrs each satellite Communications: S-band, about 3 MBPS in 1995; maybe more capacity now. Design life: 3-5 yrs. Block(group) 5D-2 (5 sats) launched 1991-98, earlier ones presumably now down or inoperative; Block 5D-3 (5 more satellites, S16-20, built by Martin Marietta) launched 1999-06; Block 6 beginning 04. DMSP, cont'd. Relevant sensors for space weather: SSI/ES I...

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George Mason - CSI - 769
CSI 769/ASTR 769Topics in Space WeatherMid-term Exam (Take-Home) Assignment Date: Oct. 25, 2005 Due: Nov. 1, 2005Answer each of the following five questions. Each question contributes 20 points to the score. 1. Plasma- (1) Calculate and plot the
George Mason - CSI - 769
Homework for Upper Atmosphere-Ionosphere Section- Robert Meier 11/22/05 3- Assume an isothermal atmosphere consisting of atomic oxygen only. Use the following parameters: T= 600 K zo = 140 km atomic oxygen density at zo = 2.9 x 1010 cm-3 Solar flux a
George Mason - CSI - 769
Homework for Upper Atmosphere-Ionosphere Section- Robert Meier 1. Calculate the atmospheric N2, O2, and O number densities for the following conditions: November 27, 2003 Latitude = 45. Longitude = 0. Local Time = 12. Altitude = 120., 150., 200., 300
George Mason - CSI - 769
Magnetosphere Homework Assignment, 10/25/05 1. Look up typical magnetotail storm-period data (Bfield strength, particle densities, particle temperatures) from, e.g., IMP 8 data. 2. Use these data along with Fig. 5.6 of Tascione to estimate the order
George Mason - CSI - 769
CSI 769/PHYS 590 Solar AtmosphereHome work assignment #4 Assignment Date: Oct. 13, 2004 Due Date: Oct. 20, 2004 One important parameter of magnetized plasma is its value, which is defined as the ratio between the gas pressure and the magnetic press
George Mason - CSI - 769
CSI769/ASTR769Fall 2005Topics in Space Weather SyllabusPrerequisites: permission of instructor Credits: 3 Date: Tuesday Time: 7:20 PM to 10:00 PM Place: Enterprise Hall 76, Fairfax Campus Instructors:Jie Zhang Art Poland S&amp;T 1 - 111 DKH 1014G (
George Mason - CSI - 769
CSI 769/ASTR769 Fall 2005 Topics in Space Weather Homework AssignmentHomework assignment #1 Assignment Date: Sep. 6, 2005 Due Date: Sep. 13, 2005 1. Emission Wavelength of solar atmosphere. Using the Wien's Law (T = hc/k) (formula 1.10.6 in Aschwand
George Mason - CSI - 769
CSI 769/ASTR769 Fall 2005 Topics in Space Weather Project: Sun-Earth Chain Activities in Halloween Storms Phase 3: MagnetosphereAssignment Date: Nov. 2, 2005 Due: The end of the semester This part of the project focuses on the energetics of the Hall
George Mason - CSI - 769
CSI 769/ASTR769 Fall 2005 Topics in Space Weather Project: Sun-Earth Chain Activities in Halloween Storms An Overview1. Objective The objective of this project is to help students comprehend the space weather system that involves energy and mass flo
George Mason - CSI - 769
HW 1 Heliosphere Septemeber 27 Due one day after next class, October 051. Consider a 10 MeV proton in interplanetary space. Determine its gyroradius; gyration period, and the wave numbers of Alfven waves in resonance with the proton (assume differe
George Mason - CDAW - 4
Working Group 4&quot;We predict Success&quot;Biggest Issues Forecasts &quot;R&quot; Us - what needs to be forecasted? Probabalistic forecasts - Can we give the forecasters an edge?Some questions MHD codes have large potential difference between hemispheres durin
George Mason - CDAW - 2
WG2 SummaryBroke into ring current/plasmasphere and radiation-belt subgroups RING CURRENT Identified events for addressing science questions What is the relative importance of the convection electric, penetration electric field, and variations of th
George Mason - CDAW - 2
WG2 Science Questions Radiation belt: 1. Which solar wind drivers are most geoeffective at radiation belt electron enhancements: high speed solar wind streams, CIRs, CMEs including magnetic cloud and shock categories? While we may know the general an
George Mason - CDAW - 2
WG1 + WG2 Joint Session Science Topics: Radiation belt: 1. Which solar wind drivers are most geoeffective at radiation belt electron enhancements: high speed solar wind streams, CIRs, CMEs including magnetic cloud and shock categories? While we may k
George Mason - CDAW - 2
INTRODUCTION: There are two types of data provided for the Polar EFI instrument.1) The raw spin-period E-Field, B-Field, SC potential and position data from the spacecraft.2) The T(ransformed) data which corrects E for vxB and subtracts
George Mason - CDAW - 2
MAXIS Balloon summary plots and event information provide by R. Millan (Robyn.Millan@dartmouth.edu 603-646-3969).Summary plots show 10 second averaged X-ray countrate between 20-1300 keV and 180-1300 keV as measured by the MAXIS germanium detector
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* * GLOBAL ATTRIBUTES * * TITLE WIND&gt; Solar Wind Parameters PROJECT ISTP&gt;International Solar-Terrestrial Physics DISCIPLINE Space Phy
George Mason - CDAW - 1
Solar Sources of Large Geomagnetic Storms During Solar Cycle 23A. Gopalswamy (NASA/GSFC) B. Michalek, H. Xie, S. Yashiro (CUA) R. A. Howard (NRL)LWS CDAW StormsGMU March 14-16 2005Objective To identify the solar sources of large (Dst &lt; -100
George Mason - CDAW - 1
WG1 + WG4 Joint Session Science Topics: Sun Storm Relationships: 1) How does the probability of observing major magnetic storms change with time, and what is the underlying physics, e.g., - Season (e.g., Is there a seasonal variation in the rate of
George Mason - CDAW - 1
#GMS Date Time DST Org Date Time Spd Loc1996/10/23 05:00 -105 CIR 1997/04/22 00:00 -107 CME 04/16 07:35 87 S30E19 &amp; no radio1997/05/15 13:00 -115 CME 05/12 05:30 464 N21W08 *19970512 0515 19970514 1600 12000 801
George Mason - CDAW - 1
Andrei Zhukov, 09/03/2005Columns of the file events_SW_Sun_AZ.xls:1 - event number2 - event date, year-month-day3 - brief description of the solar wind (SW) geoeffective structures: ICME =Interplanetary CME; CIR = Corotating Interaction Regi
George Mason - CDAW - 1
Event: 48*cme1:2001/11/19 19:54:16 361* 1.19572 111flare:S19E04 C3.6 AR 9704 2001/11/19 20:09**cme2:2001/11/21 14:06:05 518* 1.11228 360flare:S14W19 C4.7 AR 9704 2001/11/21 14:58**cme3:2001/11/22 20:30:33 1443*
George Mason - CDAW - 1
Event: 17*cme1:1998/11/05 02:41:16 568* 2.10587 180flare:N19W11 C5.4 AR 8375 1998/11/05 03:00**cme2:1998/11/06 02:18:05 405* 2.17363 160flare:N19W24 C4.4 AR 8375 1998/11/06 02:43**cme3:1998/11/06 09:54:06 278*
George Mason - CDAW - 1
Event: 27*cme1:2000/07/11 13:27:23 1078* 1.01722 360flare:N18E27 X1 AR 9077 2000/07/11 13:10**cme2:2000/07/12 11:06:05 1124* 1.00315 144flare:N17E27 X1.9 AR 9077 2000/07/12 10:37**cme3:2000/07/14 10:54:07 1674*
George Mason - CDAW - 1
114368543.000 2003 229.20999 229 05 02 23 54.0 51.3 18.1 0.3 114374639.000 2003 229.28055 229 06 43 59 55.2 51.6 18.1 0.3 114380735.000 2003 229.35110 229 08 25 35 56.5 51.8 18
George Mason - CDAW - 1
120667383.000 2003 302.11322 302 02 43 03 32.0 114.7 37.1 1.0 120679555.000 2003 302.25412 302 06 05 55 36.2 115.3 37.1 1.0 120685651.000 2003 302.32468 302 07 47 31 40.4 115.8 37
George Mason - CDAW - 1
mdimovie_casexx.mpg: MDI magnetogram movie (3-day interval). casexx notes event xx.coronalhole_casexx.gif: Upper panel: Configuration of magentic field inferred by a Potential Field Source Surface model (PFSS) using a Wilcox
George Mason - CDAW - 1
153067292.000 2004 312.11218 312 02 41 32 29.1 313.6 0.0 0.0 153073388.000 2004 312.18274 312 04 23 08 30.9 314.3 0.0 0.0 153079483.000 2004 312.25327 312 06 04 43 33.5 315.0 0
George Mason - CDAW - 1
Event: 26
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Event: 10
George Mason - CDAW - 1
Event: 14
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WG3 Ionospheric Storms Summary ReportThe main overarching science question in WG3 was:&quot;How does the TEC respond to geomagnetic storms, and what are the physical mechanisms that control the response. An initial series of sub-questions were assemble
George Mason - CDAW - 4
Questions for Working Group 4: Forecasting Magnetic StormsProbabilistic MethodsGeometric properties of magnetic storms How do we define the occurrence of a magnetic storm? How does the probability of observing a magnetic storm change
George Mason - CDAW - 3
WG3/2 Joint Session Science Questions WG2/3 joint session science questions (Tuesday AM): 1. What is controlling the response of the penetration electric field to the expansion of the convective electric field and the degree of shielding/overshieldin
George Mason - CDAW - 3
From Tim.Fuller-Rowell@noaa.gov Wed Mar 9 11:17:45 2005Return-Path: &lt;Tim.Fuller-Rowell@noaa.gov&gt;Received: from cripplecreek.sec.noaa.gov (cripplecreek.sec.noaa.gov[140.172.225.11]) by sv01.scs.gmu.edu (8.13.1/8.12.8) with ESMTP idj29GHiJi01928
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From rmcpherron@igpp.ucla.edu Sat Feb 19 21:55:27 2005Return-Path: &lt;rmcpherron@igpp.ucla.edu&gt;Received: from terra.igpp.ucla.edu (terra.igpp.ucla.edu [128.97.94.1]) bysv01.scs.gmu.edu (8.12.11/8.12.8) with ESMTP id j1K2tQm8002286 for&lt;jiez@scs.gm
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DOY UTH Longitude LTH orbit 299 22.9330 69.1257 3.54135 10197 300 0.549622 44.5481 3.51950 10198 300 2.17044 20.1346 3.51275 10199 300
George Mason - CDAW - 3
Introduction by Attila Komjathy-Colleagues,In the corresponding directories below you will find the JPL GPS-derived TEC data in the *.dump files. Please find below the description of the individual columns. We also generated VTEC movies using
George Mason - USE - 556
CLASS 9 USE 650 - Environmental Law EPA and OSHA Regulation of Asbestos Background a s Asbestos is a naturally occurring mineral Properties: incombustibility, noise absorption, and resistance to electrical current, corrosion, and bacterial attack Use
George Mason - CS - 112
Here are some practice questions! If you are unsure ofthe answers, type these programs in and try them!(Answers to 14 and 15: 14. A 15. C)1. What are the bugs in the following program (at least 4):#include &lt;iostream.h&gt;void Main(){int numb
George Mason - CS - 112
Quiz 1 Study GuideDisclaimer: Study Guides are provided as an aid only andare not comprehensive.Chapter 1-programming languages and compilerssalient history noteshardware and software fundamentalsalgorithms and problem solvingChapter 2--
George Mason - CS - 112
Assignment 4-Classes due by midnight, 4/6Read chapter 6 before starting.Introduction-Write a program to play a treasure hunt game. Generaterandom numbers to create the coordinates for the buriedtreasure. The user is allowed MAXTRIES gues
George Mason - CS - 112
CS 112 Spring 2002 Programming Assignment 6Due by midnight, 5/4Note: no late work will be accepted after midnight 5/7.Linked lists - read chapter 14 before beginning-A printer &quot;queue&quot; is a list of print jobs waiting toprint. Your job is to i
George Mason - CS - 112
Given:struct record /declared a record structure to be used in a linked list{string name;int id;record * next; /pointer field used to store the address of/another record};typedef record * recordPtr; /declares a type that can be used
George Mason - CS - 112
Clue 5Your name:Your lab section number: 2_Type pwd and make note of the current directory. Copy this file to your directory. Do this by typing:cd (where are you now?)cp /pub/ftp/amarchan/cs112/practice/clue5J.txt .(. is a short
George Mason - CS - 112
Computer Science Department Honor Code Policy for Programming ProjectsUnless otherwise stated, at the time that an assignment or project isgiven, all work handed in for credit is to be the result of individual effort. (In some classes group
George Mason - CS - 112
From daemon Tue Feb 4 11:49:51 1997Received: from portal.gmu.edu by osf1.gmu.edu; (5.65v3.2/1.1.8.2/07Sep94-1001AM/GMUv3)id AA27289; Tue, 4 Feb 1997 11:49:38 -0500Received: from localhost by gmu.edu; (5.65v3.2/1.1.3.9/GMUv7)id AA13036; Tue, 4
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From owner-CS112LIST@gmu.edu Mon Nov 10 09:02:28 1997Received: from portal.gmu.edu by osf1.gmu.edu (5.65v4.0/1.1.8.2/07Sep94-1001AM/GMUv3)id AA18763; Mon, 10 Nov 1997 09:02:24 -0500Received: from localhost by gmu.edu (5.65v4.0/1.1.3.9/GMUv7)id
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=Lab 4=Due by midnight on 2/23Prelab=Read chapters 4-5 before beginning.Turn in prelab assignment 3 at the *start* of lab.=Concepts covered: File I/O, reference parameters.Description:-Preparation:-There is a data file in this dire
George Mason - CS - 112
This was contributed by Jon Reed.(You can also put the following line in your .login file:alias cs112 cd /pub/ftp/amarchan/cs112Then just type : cs112Note tht you have to log out and log in again for changesmade to the .login to take effect.)-
Ohio State - AS - 200
Figure 18 3: Poultry and eggs farm cash receipts as a percent of total U.S. farm cash receipts, 1992 1999. (Source: Based on USDA statistics.)FIGURE 184 All poultry and eggs yearly farm cash receipts as a percentage of total animal agricultures cas
George Mason - TCOM - 552
Communications Systems, Signals, and ModulationSession 3 Nilesh JhaSome charts from Stallings, modified and added to1About Channel Capacity Impairments, such as noise, limit data rate that can be achieved Channel Capacity the maximum rate
George Mason - TCOM - 552
CDMASession8 NileshJhaNotesfromStallings,modified/addedto1IS95CDMA1.25 MHzup to 64 channels (is the number of orthogonal codes) code: 1.2288 Mchips/sec. Voice coder: 9.6 kb/s (really 8.55 kbps plus overhead) Cell power controlled at base sta
George Mason - TCOM - 540
TCOM 541Session 31Student Presentations The penultimate sessions (Session 6 and 7) will be devoted to student presentations based on the term paper Plan for no more than 10 minutes 3 to 5 powerpoint charts or transparencies Credit will be gi
George Mason - TCOM - 551
TCOM 551 &amp; ECE 463 DIGITAL COMMUNICATIONSSPRING 2007 IN 206 Tuesdays 4:30 7:10 p.m. Dr. Jeremy Allnutt jallnutt@gmu.eduTCOM 551 &amp; ECE 463 Spring 2007Lecture number 11General Information - 1 Contact Information Room: Science &amp; Technolo
George Mason - TCOM - 552
Communications Systems, Signals, and ModulationSession 2B Nilesh JhaCharts from Stallings, modified and added to1Communication Systems ContextData or Source Information - entities that convey meaning, or information If digital, it can be
George Mason - TCOM - 707
TCOM 707 Advanced Link DesignGeorge Mason University Fall 2006Dr. Jeremy E. Allnutt Fairfax Campus S&amp;T II, Room 269 Tel: (703) 993-3969 Email: jallnutt@gmu.eduOffice Hours: Mondays and Tuesdays, 3:00 6:00 p.m. Please: by appointment only1.
George Mason - ECE - 201
ECE201 Summer, 2002 Zero Crossings and Random Numbers Lab 3A Overview: The zero crossing part of this lab is to test each element in a row vector against the element before it. If a zero crossing occurs then it is to be counted. The total number of
George Mason - TCOM - 660
TCOM 660 Network Forensics Fall 2007Instructor: Bob Osgood rosgood@gmu.edu Class Meets: Day: Wednesday Time: 7:20PM to 10:00PM Where: Innovation Hall Room 319Course Description: This course deals with the collection, preservation, and analysis of
George Mason - TCOM - 500
Formula sheet TCOM 500 Summer 2008AP (dB )= 1 0 lo g AP= 1 0 lo gdBmPo PiAP ( dBm ) = 10 logP 1mWAV(dB )= 2 0 lo g A V = 2 0 lo gVo Vipower 0 1 2 3 4 5value 1 2 4 8 16 32binary 000001 000010 000100 001000 010000 100000S
George Mason - ECE - 467
ECE467/Section202 NetworkImplementationLaboratory Spring2007ClassMeets: Day:WednesdayTime:4:30PMto7:10PM Where:JohnsonCenter,RoomG10Instructor:BenAllen MyContactInformation:Emailaddress:ballen5@gmu.edu. Officenumber:7039933478Feel freetoleavem