thesis in greek

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ΔΗΜΟΚΡΙΤΕΙΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΘΡΑΚΗΣ ΤΜΗΜΑ ΗΛΕΚΤΡΟΛΟΓΩΝ ΜΗΧΑΝΙΚΩΝ ΚΑΙ ΜΗΧΑΝΙΚΩΝ ΥΠΟΛΟΓΙΣΤΩΝ ΕΡΓΑΣΤΗΡΙΟ ΗΛΕΚΤΡΟΜΑΓΝΗΤΙΣΜΟΥ ΚΑΙ ΔΙΑΣΤΗΜΙΚΗΣ ΔΙΔΑΚΤΟΡΙΚΗ ΔΙΑΤΡΙΒΗ ΤΟΥ Ιωάννη Ι. Βογιατζή Θέμα Διερεύνηση Μηχανισμών Επιτάχυνσης Υπέρθερμων Σωματιδίων στην Περιοχή της Μαγνητοουράς και της Πολικής Χοάνης της Γεωμαγνητόσφαιρας Παρατηρήσεις Υψηλής Χωροχρονικής Ανάλυσης Cluster/RAPID Επιβλέπων Καθηγητής Εμμανουήλ Θ. Σαρρής Ξάνθη, Δεκέμβριος 2007

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. Cluster/RAPID . , 2007 . . (, ). . (). . . () , , (magnetotail) (polar cus-p). (pitch angle) (central plasma sheet). , , ( ) - . - -, . - Cluster. , - Cluster - Cluster . - . , - ( , , - +) - . - 9 . 3 - , , , 4, 6, 7 8. 4 . 5 Cluster RAPID . 6, 7 8 - . , 9 v, . LaTEX kerkis - . . , - , , , . - 1-1 . - , . . , , . . - . . , . - . , . . - . . . Theodore A. Fritz - Quigang G. Zong, 2.5 . . , TheodoreA. Fritz . , - . , , - , . ., , , .vi1 11.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11.2 . . . . . . . . . . . . . . . . . . . . . 11.2.1 . . . . . . . . . 21.2.2 . . . . . . . . . . . . . . . . . . . . 31.2.3 . . . . . . . . . . . . . . . . . 41.2.4 . . . . . . . . 51.3 . . . . . . . . . . . . . . . . . . . . 51.3.1 : . . . . . . . . . 61.3.2 . . . . . . . . . . . . . . . . . . . . . . . . 61.3.3 , . . . . . . 91.4 . . . . . . . . . . . . . . . . . . . . . 101.4.1 . . . . . . . . . . 101.4.2 . . . . . . . . . . 111.5 Lorentz . . . . . . . . . . . . . . . . . . . . . . . . 121.5.1 . . . . . . . . . 121.5.2 . . . . . . . . . 171.6 . . . . . . . . . . . . . . . . 191.6.1 . . . . . . . . 211.7 . . . . . . . . . . . . . . . 231.7.1 - . . . . . . . . . . . . . . . . . . . . . . . . . . . 251.7.2 . . . . . 271.7.3 . . . . . . . 281.7.4 . . . . . 301.8 . . . . . . . . . . . . . . . . . . . . . . . . . 311.8.1 . . . . . . . . . . . . . . . . . . 321.8.2 . . . . . . . . . . . . . . . . . 331.8.3 . . . . . . . . 331.9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 361.9.1 - . . . . . . . . . . . . . . . . . . . . . . . . . . . 361.9.2 . . . . . . . . . 402 432.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 432.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43vii2.3 . . . . . . . . . . . . 452.3.1 Maxwell . . . . . . . . . . . . . . . . . . . . . . . . 452.3.2 . . . . . . . . . . . . . . . . . . . . . . . . 462.3.3 . . . . . . . . . . . . . . . . . . . . . . . . . . 472.3.4 Ohm . . . . . . . . . . . . . . . . . . . . . . . . . . 482.4 . . . . . . . . . . . . . . . . . . . . 492.4.1 ( = ) . . . . . . . . . . . . . . . . . . . 502.4.2 ( Alfv en) . . . . . . . 513 - 553.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 553.2 . . . . . . . . . . . . . . . . . . . . . . . 553.2.1 . . . . . . . . . . . . . . . . . . . . . . . . . 563.2.2 . . . . . . . . . . . . . . . . . . . 563.2.3 . . . . . . . . . . . . . . . . . . . . . . . . 573.2.4 . . . . . . . . . . . . . . . . . . . . . . . . . 573.2.5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 573.2.6 . . . . . . . . . . . . . 603.2.7 . . . . . . . . . . . . . 623.2.8 (k | B0; E1 B0) . . . . . . . . . . . . . . . . . . . . . . . . . 633.3 - . . . . . . . . . . . . . . . . . 663.3.1 - . . . . . . . 683.3.2 . . . . . . . . . . . . . . . . . . . . . . 713.4 : Doppler - . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 754 774.1 . . . . . . . . . . . . . . . . . 774.2 . . . . . . . . . . . . . . . . 824.3 . . . . . . . . . . . . . . . . . . . . . . . . 854.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 874.4.1 . . . . . . . . . . . 884.4.2 . . . . . . . . . . . . . . . . . . . . 894.5 . . . . . . . . . . . . . . . 984.5.1 . . . . . . . . 984.5.2 . . . . . . . . . . . . . . . . . . . 1014.5.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1034.6 - . . . . . . . . . . . . . . . . . . . . 1044.7 . . . . . . . 1054.7.1 Fermi . . . . . . . . . . . . . . . . . . . . . . . . 1054.7.2 . . . . . . . . . . . . . . . . . . . . . . . 1075 Cluster/RAPID 1095.1 Cluster . . . . . . . . . . . . . . . . . . . . . . . . . . . 1095.2 . . . . . . . . . . . . . . . . . . . . . . . . . . 1105.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112viii5.4 RAPID . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1135.4.1 RAPID/IES . . . . . . . . . . . . . . . 1155.5 . . . . . . . . . . . . . . . . . . . . . . . 1155.5.1 RAPID GSE 1155.6 Cluster . . . . . . . . . . . . . . . . . . . . . . . . 1186 1216.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1216.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1226.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1236.4 . . . . . . . . . . . . . . . . . . . . . . . . . . 1306.5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1396.6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1456.7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1457 - 1477.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1477.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1487.3 . . . . . . . . . . . . . . . . . 1507.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1597.5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1627.6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1727.7 : . . . . . . . . . . . . . . . . . . . . 1738 Cluster . 1758.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1758.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1768.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1798.3.1 . . . . . . . . . . . . . . . . . . . . . . . 1798.3.2 25 2002 . . . . . . . . . . . . . . 1798.3.3 10 2002 . . . . . . . . . . . . . . 1868.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1908.5 . . . . . . . . . . . . . . . . . . . . . . . 1959 1979.1 . . . . . . . . . . . . . . . . . . . . . . . 1979.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . 1999.3 . . . . . . . . . . . . . . . . . . . . . . . . . . 199 201ixx 1 1.1 . B B. dl , ,dl B = 0 (1.1) - . (1.1) , - .1.2 (inhomogeneous) , . (homogeneous) B0 z . , B0 ,x = x0(1.2)y = y0 B0. "", r Taylor - (x0, y0),1 1. B(r) = B0 + (r 0)B+ (1.3) . "", - ,[B0[ [(r 0) B[ (1.4) B ,B =

Bx/x Bx/y Bx/zBy/x By/y By/zBz/x Bz/y Bz/z

(1.5) . , B = 0 . , .1.2.1 , Bx/x, By/y Bz/z. z, ,Bx = x

Bxx

0By = y

Byy

0(1.6)Bz = B0 + z

Bzz

0 Bx By 0 ., z(Bz/z)0 0. ,dxdz = BxBz(1.7)dydz = ByBz (1.6) (1.7) ,21.2. 1.1: (x0, y0). z [from Parks, 1991].dx1dz = 1B0

Bxx

0x0(1.8)dy1dz = 1B0

Byy

0y0 "1" "0", , (x0, y0). ,x1 = 1B0

Bxx

0x0z + (1.9)y1 = 1B0

Byx

0y0z + z / (x0, y0) 1.1. B (converging) - (diverging) .1.2.2 Bx/z By/z. . ,3 1. 1.2: z [from Parks, 1991].dx1dz = 1B0

Bxz

0z(1.10)dy1dz = 1B0

Byz

0z ,x1 = 1B0

Bxz

0z22 + (1.11)y1 = 1B0

Byz

0z22 + z2. (curved) 1.2.1.2.3 Bz/x Bz/y. , ,dx1dz = dy1dz = 0 (1.12) . - , ( 1.3).41.3. 1.3: [from Parks, 1991].1.2.4 B Bx/y By/x. (twisting) (shearing) -. B . , , . , , - (1.4).1.3 . , . Maxwell ,H = J + Dt (1.13) J D/t, (1.13) ,H = J (1.14) J , .5 1. 1.4: [from Parks,1991].1.3.1 : (ring cur-rent) (anks) , . - . (magnetic tail) . ,B = z x + z (1.15) x z -. (1.1) ,x = 12z2+ (1.16) ( 1.5). - y. , .1.3.2 . 61.3. 1.5: [from Parks, 1991]. . ( z) (neutral sheet) (plasma sheet). - . (plasma sheet boundary). . ,Bx = B0 z LBx = B0zL L z LBx = B0 z L(1.17) z = 0 , B0 (lobe) ( - ) L - ( - x , y z ). (1.17) -7 1. 1.6: Harris [from Parks, 1991]. x z - [z[ B0 . ( 1.6). ,B = B0 tanh

zL x

(1.18) (1.17) - z. Harris. Harris (1.17) (z = 0). - (z/L = 1), 0.76B0. tanh (z/L) , . x, ( z). - (1.17) - z. ,B = B0

zL x + z

(1.19) . . , , 0.1, . (1.19) , . . 81.3. . , () -. +y ( 1.6). . , , , . - (magneticeld merging).1.3.3 , . , -. - (singular point) . , - . , (magneticneutral point). , "" (merging) ""(reconnection) , . 1.7. 1 2 . . 3 4. . , X, . ,B = x x y y (1.20) . ,xy = constant (1.21) xy ( 1.8). .9 1. 1.7: . () () (). X [from Parks, 1991].1.4 - (electromotive force) . - . , (magnetized solar wind) - .1.4.1 ( ) . . Lorentz ,E = UswBIMF (1.22) Usw BIMF , . (1.22) (convective elec-tric eld) . - , .101.4. 1.8: [from Parks, 1991].1.4.2 - . , ,E = ( r) B (1.23)r . (corotational electric eld). (1.23) . - . , = z(1.24)B = 0M4r3

2 sin r + cos

r, z M . B0 r = R0 = 0. , B0 = 0M/4R30 ,11 1. E = r sin ( z r) B(1.25)= B0R30 cos r2

2 sin + cos r

, . . - . , - . , , - .1.5 Lorentz - . , Lorentz . - , . .1.5.1 m v B , . Lorentz ,mdvdt = q (v B) (1.26) v . (1.26) v v (v B) = 0, ,mv dvdt = ddt

12m2

= 0 (1.27), . . (1.26) , B, v =v

+v. (1.26) ,dv

dt + dvdt = qm (vB) (1.28)121.5. LORENTZ v

B = 0. (1.28) , ,dv

dt = 0(1.29)dvdt = qm (vB), B = (0, 0, B). , (1.29) ,mdxdt = qBy(1.30)mdydt = qBx u = x + iy i2= 1. , (1.30) ,dudt + icu = 0 (1.31) c = qB/m (gyrofrequency) (cyclotron frequency) Larmor . (1.31) ,u = eict(1.32) = 2x + 2y B. (gyroradius) ( Larmor ) ,rc = c= mqB (1.33) rc c xy. (1.32) Euler eict= cos ct i sin ct,x = dxdt = cos ct(1.34)y = dydt = sin ct13 1. 1.9: [from Parks, 1991]. (1.34) ,x x0 = csin (ct + )(1.35)y y0 = ccos (ct + ) xy /c . x0, y0, z0 - . z.

(1.29), z ,z z0 =

t (1.36) z B. - B

, (x0, y0).

x0, y0, z0 +

t

(guidingcenter) ( 1.9). (pitch angle) v B . , ,141.5. LORENTZ 1.10:

[from Parks, 1991]. = tan1

(1.37)

= cos = sin ,

v,v

v, ( 1.10).

, B. ,I = qc2 = 12q2Bm (1.38) (magnetic moment) " " , = Ir2c = 12q2r2cBm (1.39) , = 12q2m (1.40) = r2cB. . 1.11 15 1. 1.11: +q q . B . B0 [from Parks, 1991]. - . - ( ). rc, B, rc B. - . , = 12m2B (1.41) B. (1.41), (1.33) (1.39). , =

B2B (1.42) m2/2. , .161.5. LORENTZ1.5.2 . E = E

+E | B. , ,mdv

dt = qE

(1.43)mdvdt = q (E +vB) (1.43) B ,

=

qE

m

t + 0 (1.44)z =

qE

/m

t22 + 0t + z0 (1.45) 0 z0 . B. -, E

v

. (1.43) . , B = (0, 0, B) E = (Ex, 0, 0). , Lorentz ,dxdt = cy + cExBdydt = cx (1.46)dzdt = 0 c qB/m. ,d2ydt2 + 2cy = 2cExB (1.47) y (- ). ,17 1. y = u ExB (1.48) ,d2udt2 + 2cu = 0 (1.49) ,u = Acos ct + C sin ct (1.50) (1.47) ,y = Acos ct + C sin ct ExB (1.51) A C -. (1.46) x. v (t = 0) = (xo, yo, zo). , (1.46) ,x = xo cos ct +

yo + ExB

sin cty =

yo + ExB

cos ct xo sin ct ExB (1.52)z = zo Ex = 0, , . B, Ex/B (1.48). y ( E B) B. , . E = (Ex, Ey, Ez) B = (0, 0, B). v ,v = u + E BB2 (1.53) u du/dt = (q/m) u B. B. , (1.45). , E B (E B/B2). EB - (guiding center drifts) B. , 181.6. - . B.1.6 - . - , Lorentz . , . , . F. ,dvdt = qm (v B) + Fm (1.54) , B,dv

dt = F

m(1.55)dvdt = Fm + qm (vB) (1.55) B F

. F 1.12. B, F v . F . , . . B. . WD v = u +WD. , (1.55) ,dudt = qmWDB+ qmu B+ Fm (1.56) dWD/dt = 0. (1.56) WD ,19 1. 1.12: F B F [from Parks, 1991].dudt = qmu B (1.57) (1.56) WD ,qWDB+F = 0 (1.58) (1.58) B - (a b) b = (a b) bb2a ,WD = 1qF BB2 (1.59) WD B. . B F - . (1.59) F. . (1.55), B. . - . , . -, . 201.6. - ( ), .1.6.1 , . - . . (E B = 0). 1.5.2, - Lorentz. , F = qE. , ,WE = E BB2 (1.60) , . , . . Lorentz ,F = qE + qv B (1.61) ,v = E BB2 (1.62) (1.61) ,F = qE + qE BB2 B(1.63)= qE + q[(E B) BB2E]B2 = 0 E B = 0. (1.63) , v = EB/B2. , - . E B/B2 . , , "" ( 21 1. ) EB/B2. Lorentz BM BR < BM. BM B . 1.17, BM B "". , BM B . , BR > BM "" BR < BM . , B0. ,341.8. 1.18:

[from Parks, 1991].R = BMB0(1.114) R - . B0. - . . . - BM B0 ,sin20 = B0BM= 1R (1.115) 0 BM . , (1.115) , ( 1.18). . , . , 0 100 km 35 1. . 100 km . 100 km "" . 6 RE 3. 3 100 km. 100 km .1.9 ( ) . /. - . , , , (kinetic instabilities) - . - - . , , - Lorentz ( ) . - . . , , -/.1.9.1 - (1.3.2) . , ,361.9. xZ2LENEUTRALSHEETMAGNETICFIELDVECTORS 1.19: [from Speiser, 1965].B = B0

zL

x L z L (1.116)E = E0 y (1.117) B0 z = L, , E0 . 1.19. Lorentz , , , x = 0 y = c1z z + c2 (1.118) z = c1z y c1 = qB0/mL c2 = qE0/m. , -. d (z2/2) /dt = z z, (1.118) , y = y0 +

c12

z2z20

+ c2t (1.119) y z, ,37 1. 1.20: ( , y). y, + y. [from Speiser, 1965].12

z2+ y2

c2y = 12

z20 + y20

c2y0 (1.120) (1.120) . "0" . (1.119) (1.118) , z = c1z

y0 +

c12

z2z20

+ c2t

(1.121) (1.121) - . , (1.121) - , z + 2 z + z + z3= f(t) (1.122), (1.121) , = 0, = (c1y0c21z20/2 + c1c2t), = c21/2 f(t) = 0. > 0. (1.121) . c2t , 381.9. z(t). , (1.121) , z c1c2zt =

qm

2

E0B0L

zt (1.123) ,z =t

Z1/3

23t3/2

(1.124) t

= (B0E0/L)1/3(q/m)2/3t Z1/3 - Bessel , . , (1.124) ,z t1/4(E0B0/L)1/12(q/m)1/6

Acos23

qm

B0E0L

1/2t3/2+Bsin23

qm

B0E0L

1/2t3/2 (1.125) A B . (1.125) , 1/t1/4. z , (1.119) - ,y y0 +

y0

c12

z20

t + c2t22 + (1.126) (1.126) (1.120) t2. , z = 0. , +y y. . (1.118) +y. , c1z z, y t. (1.118) , z = kz (1.127) k = c1 y. k. k ( E), . z(t) v B, z = 0 z . ( 1.20).39 1. 1.9.2 . (1.3.2) ,B = B0

zL x + z

(1.128) < 1 ( , , ). (1.128), x = c3 y (1.129) y = c3 x + c1z z + c2 (1.130) z = c1z y (1.131) c1 c2 c3 = qB0/m. (1.129) (1.130) ,( x x0) = c3 (y y0) (1.132)( y y0) = c12

z2z20

+ c2t c3 (x x0) (1.133) (1.133) ,(y y0) = c12

z2dt + c2t22 c3

xdt + c4t (1.134) c4 = y0 c1z20/2 + c3x0. , (1.134) (1.132) , x = x0 + c5t2+ c6t + c7

z2dt c23

xdt (1.135) c5 = c2c3/2, c6 = c3c4 c7 = c1c3/2. ( 1.21). .1. +y - E0 (1.130).2. y t (1.133). - x y t (1.129). , x t2. .401.9. 1.21: . - . 90, . - , , . , , [from Speiser,1965].3. y > 0, z (1.131). y y . y > 0, c1z z (1.130) .4. (1.130) t2(1.135) y y . , y , . z y = 0 (1.131).5. y y = 0, z - . y < 0, z (1.131) -. , .41 1. , (1.133) (1.131) , z = kz (1.136) k = c21z2/2 + c1c2t c1c3x + c8 c8 = c1c3x0 + c1 y0 c21z20/2. k 0, ,t = c3xc2 c1z22c2 c8c1c2(1.137) k z . x z2.. (1.135) ,x = x0 + x0t + c6t22 + c5t33 (1.138) z2 z -, x c23 = q2B202/m2. - x0 = x0 = 0, c4 = c8 = 0, y0 = c1z20/2. c6 = c3c4, c6 = 0. (1.138) (1.137) - (z = 0),t =6 (q/m) B0(1.139) (1.138) ,x = c5t33(1.140)=6E0(B0)2(q/m) x = c5t2(1.141)= 3E0B0 q/m . ( ) , , , (1.139). ( +x).42 2 2.1 . , . - . - . , - , () . - (Magnetohydrodynamics) (continuum mechanics) - . , . . - . , . . - . , . , .2.2 , . (uid dynamics) , 43 2. 2.1: [from Parks, 1991]. . , - . V S ( 2.1). dV dS . , , U(x, y, z, t) (x, y, z) t. dt Udt dS ,dm = U ndS dt (2.1) V ,m =

SU ndS (2.2) S. V ,m =

VtdV (2.3) . , ,

SU ndS =

VtdV (2.4)442.3. - ,

V

U+ t

dV = 0 (2.5) V , ,t + U = 0 (2.6) , , -. , (adiabatic), (compressional), (isothermal) (turbulent). U (mass ux density). .2.3 . ( ). . , " " . , " ", . , , , , .2.3.1 Maxwell Maxwell. - . -. , "" Maxwell ,45 2. E = Bt B = 0(2.7)H = J D = 0 .2.3.2 ( ) . (2.6), ,it + iui = 0(2.8)et + eue = 0 ,t (i + e) + (iui + eue) = 0 (2.9) ,m = +m + m(2.10)= nimi + neme ,U = nimiui + nemeuenimi + neme(2.11) (2.10) (2.11) (2.9) ,mt + mU = 0 (2.12) , .462.3. 2.3.3 , ,mdvdt = q (E +v B) (2.13) . , (2.13) n,mndudt = qn(E +u B) (2.14), v u , ( ). (2.14) . . . , T p = nkT, n k Boltzmann 1.381023Joules/oK. , . (2.14), , ,mndudt = qn(E +u B) p (2.15) p - . (2.15) , , p . . ,miniduidt = qini (E +uiB) pi(2.16)meneduedt = qene (E +ueB) pe ni = ne = n qi = qe = [q[, ,n ddt (miui + meue) = qn(uiue) Bp (2.17) p = pi + pe . J ,J = niqiui + neqeue (2.18) (2.10), (2.11) (2.18), ,47 2. mddtU = J Bp (2.19) . , (2.19) , J B. J B J B. J B . J B (electromagneticstress tensor).2.3.4 Ohm . , . J E ( ) ,J = E (2.20) Ohm. E . Ohm ,J = (E +UB) (2.21) U . (2.21) Ohm. Ohm . Ohm . . , ,[Dt [ = 0[Et[ 0[E[T (2.22) ,

0[E[T Vph) . k

V

= c. Doppler . "" - [from Tsurutani and Lakhina, 1997]. V. B , Lorentz B0. , , ., B -. 180 B , . 3.10(b) . Lorentz (gyromotion) - . , V(E) . 180, B , FL E . E, . E 3.11. - - () . . tan = V/V

V = V ,, = V

/V (3.42) 723.3. - 3.10: (a) V (b) V

. V B B [from Tsurutani and Lakhina, 1997]. ,V

=

qVBm

t (3.43) (3.42) , = qVm Bt 1V= BB0t (3.44), (pitch angle diusion rate) ,D ()22t= 22

BB0

2t (3.45) t k/2, 1 rad, t= 2/kV

. ,D

BB0

2 (3.46) = (/kV

) . - - . (random walk process) . , - - . 73 3. - 3.11: [from Tsurutani and Lakhina, 1997]. 1/e , - . - (mobility) , Pedersen, . Pedersen B0[Schulz and Lanzerotti, 1974] , = (1/B0) (e)

1 + (e)2

1(3.47) e "" -. Pedersen , , - (adiabatic drift shells). Rose and Clark [1961],D = 'x`2/2 =

mV2/2q

(3.48) 1e qB0/m ( Bohm)., Bohm [1949] ,D = E/2qB0 = Dmax (3.49) 3.12 -. B0 - . , B

0 743.4. : DOPPLER 3.12: - [from Tsurutani and Lakhina, 1997]. -.3.4 : Doppler Doppler. . - fs O2 O1. fd, O1; Ts = 1/fs, . , - , 3.13(a), ,Td =1 + (/c)1 (/c)

1/2Ts > Ts (3.50) ,75 3. - 3.13: Doppler . S A, B, C . A fd < fs. B fd > fs. C fd < fs. (a) (b) : [from Lorrain and Corson, 1970].fd = 1/Td =1 (/c)1 + (/c)

1/2fs < fs (3.51) ,fd =1 + (/c)1 (/c)

1/2fs > fs (3.52) , ( 3.13(b)). , . . , , ,fd = fs() fd = fs () (3.53) = 1/

1 (/c)2

1/2 Lorentz.76 4 4.1 . , -. , . , . , , - 11 . 10 RE( , Earth radii) . , ( nT) , - (interplanetary magnetic eld, IMF) . , , - . (sunward) (bow shock). , - ( (2.4.2)) - "", . (collisionless), (magnetotail) 200 RE. , 77 4. 4.1: , [from Kivelson and Russell, 1997]. . (magnetopause) - . , - , , . , -, (subsolar distance), , 10 RE. . - (stando distance) , . 4.1 /, - . , , . - , . (magnetosheath), -784.1. , (turbulent ows) (5 cm3). , Amp` ere,B = 0

J + 0Et

(4.1) , ( ) - Amp` ere . Amp` ere - , . 4.1, . Chapman-Ferraro Chapman Ferraro . (tail-like eld) - (neutral sheet current) (central plasma sheet). "", -. , , (inner) (ring current). (westward direction) RE . , , keV . , , . , . (eld-aligned currents), Birkeland , . . - . 4.1 4.2. (tail lobes) (0, . . - . , , Bz400 km/sec) CPS PSBL. CPS - (single-ion component), PSBL, - (counter-streaming91 4. ion beams). , ( , - PSBL), (convective component) [Baumjohann et al., 1990 Petrukovich et al., 2001]. , . Angelopoulos et al. [1992] ( 1000 km/sec) (400-600 km/sec) 10 . - (ion heating) (transient elddipolarizations). 10 (bursty bulk ows, BBFs), (single popula-tion, convective bulk ow), PSBL.BBFs 19 RE, BBFs [Baumjohann et al., 1990]. - -. -, , (50 km/sec) . , , BBFs . . , , , BBFs. BBFs , 10 R2E yz [Angelopoulos et al., 1996]. - 60-100% , - [Angelopouloset al., 1994]. , BBFs . - , - . .924.4. (the substorm onset), -. : (auroral breakup) (most equatorward arc) (auroral oval) [Akasofu, 1964]. - 20:00 02:00 (magnetic local time,MLT) [Craven and Frank, 1991] 55 75 - [Kamide and Winningham, 1977], X> 15 RE [Murphree et al., 1991], , . - (westward travelling surge (WTS)) , km/sec [Opgenoorthand Pellinen, 1998]. (patchy and diuse aurora). 4.9. Pi2, nT 40-150 . [ , Ol-son, 1999]. (negative magnetic bay) [Akasofu andMeng, 1969 Meng and Akasofu, 1969] Bx, 1000 nT. , - (westward-directed substorm electrojet) ( 4.10). SCW, . , (convection electrojets) [Kamide and Vick-rey, 1983]. : , - / , (substorm current wedge (SCW) system), (- 4.11). SCW 93 4. 4.9: , . A) , B) , C) WTS, D) (morningside activity), E) , F) [from Akasofu, 1968]. . (horizontalsubstorm electrojet). SCW. , - (thermal ion gyroradius) [Lui et al., 1992]. - [Kokobun and McPherron, 1981Nagai, 1982 Singer et al., 1985] ( r B1), , ,

2

1= B2B1(4.11), 2 > 1, .108 5 Cluster/RAPID5.1 Cluster Cluster 1982 ESA . . Cluster . 1996, Cluster . Cluster "" - Ariane-5. , Ariane-501 , 4 1996, 4 Cluster. -, 37 . 10 . , 1996, , ESA Cluster. "Phoenix", , (spacecraft, SC) Cluster. Cluster. . , , Phoenix 1997, . . Cluster - , Clus-ter Phoenix. ESA, , -109 5. CLUSTER/RAPID , , . , , 2000. - Ariane-5 - -. , , Arianespace Soyuz . Soyuz Cluster II. 28 1997, - Cluster II Prime Contractor Daimler BenzAerospace (Dornier), 24 1998, Starsem, - Aerospatiale, Arianespace, Russian Space Agency Samara Space Center, . Soyuz Baikonur 16 2000, Cluster . , Cluster 9 2000. - . Cluster - 2005. - , 10000 km, 49 21 . (C1, C2, C3) 10000 km 2 - (C3, C4) 1000 km. Cluster 2001 2005. , 10 2005, ESA Cluster, 2005 2009.5.2 Cluster II Cluster 1996 . Cluster II - . . ( ), - 1105.2. 5.1: Cluster - 19000 km 119000 km, 57 . . . , - 419.6 () -. . , , , 360 .111 5. CLUSTER/RAPID 5.2: . Cluster 2009 ( ) 2001 ( ). , 2009 . 5.3: Cluster .5.3 Cluster "Lego", - . , - 1.3 2.9 ( 5.3). -1125.4. RAPID 5.4: RAPID. IIMS IES , . . - . - . , . . . - , . Cluster . , . .5.4 RAPID "RAPID" "Research with Adaptive Particle Imaging Detec-tors". RAPID Cluster - 20-400 keV , 40-1500 keV 10 keV/nuc-1500 keV/nuc . - 180 . -113 5. CLUSTER/RAPID 5.5: IES, - / . 5.6: IES. .. [Wilkenet al., 1997].1145.5. 5.4.1 RAPID/IES 20 keV 400 keV (Imaging Electron Spectrometer(IES)). 0.5 cm 1.5 cm "". - 60 3 . "" IES 5.6. 5.5 180 . - 800 450 g cm2(Si) 350keV, .5.5 . , 3D , . RAPID/IES Cluster - . 16 ( 5.7) 0 15 9 0 8 ( 5.8)., , Geocentric Solar Ecliptic (GSE) . GSE - 169=144 IES , (4). RAPID (housekeeping data) ( 5.7). - (science les (*.SCI)) GSE.5.5.1 RAPID - GSE RAPID - u 0, 4 w . 144 - ,115 5. CLUSTER/RAPID^u^ 5.7: RAPID GSE , [from Daly, 2004].V = u + b + c w (5.1), = sin

d9 + 10

cos

2 s16 + 11.25

b = sin

d9 + 10

sin

2 s16 + 11.25

(5.2)c = cos

d9 + 10

d 0 8, s 0 15. 9 (3 ). 3 GSE x, y, z RAPID. x V GSE ,1165.5. w^ 5.8: IES, -, GSE [from Daly, 2004].V xgse = u xgse + b xgse + c w xgse(5.3)= M11 + bM12 + cM13 . ,Vgse =

M11 M12 M13M21 M22 M23M31 M32 M33

bc

(5.4) ,Vgse = M Vrap (5.5) M GSE RAPID , RAPID u, , w GSE ., 3 ( 3, 6 9 ) GSE. , (0, 0, 1) GSE . 144 RAPID GSE 117 5. CLUSTER/RAPID, . 144 - GSE- ( GSE). .5.6 Cluster RAPID, FGM, CIS, EFW STAFF. Fluxgate (Fluxgate Magnetometer (FGM)) Cluster FG-M (Fluxgate ) [Balogh et al.,1997]. , , uxgate - . , - ( (outboard) ) - 5.2 m, ( (inboard) ), 1.5 m -. , (Primary Sensor) . , . 201.75 Hz, - , . 0.25 Hz (1 ). Cluster (Cluster Ion Spectrometry(CIS)) Cluster [R` eme et al., 1997] - Cluster ( ) . , CIS , (Hot Ion Analyser (HIA)) (time-of-ight ion Composition Distribution Function(CODIF)). CODIF 360 8 1185.6. CLUSTER ( - ) (4 ). H+,He+, He++ O+, 0-40 keV/e. , 180, . - , 4 (4 ) 5 eV/e-32 keV/e. (Electric Field and Waves (EFW)) EFW [Gustafsson et al., 1997] (Wave Experiment Consortium (WEC)). - 8 , - 42.5 (88 m ) - . - , GSE x . , - GSE y . , 4 . (SpatiotemporalAnalysis of Field Fluctuations (STAFF)) STAFF [Cornilleau-Wehrlin et al., 1997] - Cluster(Cluster Wave Experiment Consortium (WEC, [ Pedersen et al., 1997])). STAFF . , - (waveform analyser) 10 Hz (180 Hz ) (Spectrum Analyser). - 3 EFW 55 27 8 Hz 4 kHz. , 0.125 sec 4 sec, . (Plasma Elec-tron and Current Experiment (PEACE)) (PEACE) [Johnstone et al., 1997] Cluster , -119 5. CLUSTER/RAPID (High Energy Electron Analyser (HEEA)) (Low Energy Electron Analyser (LEEA)), . 0.6 eV 26 keV (4 -). , HEEA 35 eV 26 keV LEEA 0.6 eV 1 keV, .120 6 6.1 90 19 RE - 27 2001 [Baker et al.,2002]. Baker et al. [2002] 04:06:16 04:08:19 UT. Cluster . - Cluster. 7.5 X Cluster [Baker et al., 2002], - - . : - , Bz . KCSI/CFCI (kinetic cross-eld streaming/current instabil-121 6. ity) [Lui et al., 1990, 1991b]. , - (auroral electrojet) [ 2 Baker et al., 2002], . NENL CD - . Cluster X . - - Cluster [Vogiatzis et al., 2005].6.2 - [Baker, 1984]. - Birkeland - [McPherron et al., 1973]. , . Kaufmann [1987] - . , Jacquey et al. [1991] - , . NENL[Baker, 1984]. , - , , 9 RE [Lui,1979]. X . Lui et al.[1988] Lopez et al. [1989] . - . , , -1226.3. . - Fermi ( -) ( ). , , [Baker and McPherron,1990]. 5Re6.6ReSunLanl91 (L~6.6,17 MLT)Dusk DawnLanl94(L~6.8,11MLT)Lanl97 (L~6.8,9 MLT)Goes8(L~6.8,23MLT)Polar(L~11,2MLT) 15Re20ReCluster(L~19,0MLT)Tail 6.1: - 04:00-04:30 UT[from Vogiatzis et al., 2005]. - - - - - Cluster/RAPID. - - - (X 30 RE) [Sarrisand Axford, 1979 Zong et al., 1998, 2004, 2007]. - - . , , -/ - , X , , , -.6.3 IES (Imaging Electron Spectrometer) 3 , 60. RAPID (Research with Adaptive Particle Imaging Detectors) Cluster [Wilken et al., 1997]. IES - 20-400 keV. 16 9 , (4 ). - RAPID ( , burst mode) 0.25 sec (1/16 -). 123 6. -, 144 . , , 4 IIMS(Imaging Ion Mass Spectrometer) 10-1500 keV. - CIS (Cluster Ion Spectrometer) , , 4 [R` eme et al., 1997]. FGM (Flux/Gate Magnetometer) [Balogh et al., 1997] 4 . , GOES8, Polar LANL - . 27 2001 -27-08-200102:00:00-07:00:00UT27-08-200104:30UT0 -2050-50 530001000-10000 2000 -2000 -2000-50 2000Z(R)GSMEX (R ) GSM E Y (R ) GSM EZ(K)GSMmX (K ) GSM m Y (K ) GSM mS/C_1S/C_2S/C_3S/C_4(a) (b)(c) (d)-2002020-200002000Y(R)GSMEY(K)GSMm 6.2: Cluster 02:00 07:00 UT , - X-Y Y-Z, GSM - [from Vogiatzis et al., 2005]. - - -. - - 04:00-04:30 UT - 6.1. 6.2 Cluster 02:00 07:00 UT - X-Y Y-Z, GSM(GeocentricSolar Magnetospheric) . S/C 1, 2, 3 4 - , , , . Cluster (19.2 RE) (0025 MLT) S/C_3 . 6.3 Cluster - 04:00-05:00 UT 04:00-05:15 UT, , 27 2001. - . (a)-(f) - Los Alamos, - . (g) (h) RAPID . RAPID, Cluster 1246.3. 1041031051041041031071061051041031021011071061051041031021071061051041031021014:00 4:15 4:30 4:45 5:001051041031024:00 4:15 4:30 4:45106105104103102(a)(c)(e)(g)(h)5:15TIME(UT)Particle

Fluxes10secresolutionProtons Electrons75-113KeVx1000113-170KeVx100170-250KeVx10250-400KeVLANL-97A105-150KeV150-225KeV225-315KeV1994-0841991-081S/C_1S/C_2S/C_3S/C_44secresolution1/(cms

sr)21/(cms

sr

keV)21/(cms

sr

keV)21/(cms

sr

keV)275-105KeV(b)(d)(f) 6.3: Cluster 04:00-05:00 UT 04:00-05:15 UT, , 27 2001. , ( 6.11) [from Vogiatzis et al.,2005]. 04:10 UT. 04:25 UT - . 125 6. 406080100120Hp(nT)406080100120He(nT)-200204060Hn(nT)3:30 4:00 4:3090100110120130140Htotal(nT)5:00TIME(UT)GOES80.5secresolution 6.4: GOES 8 04:09 UT [from Vogiatzis et al., 2005]. . "" 04:30 UT. 6.4 GOES 8 1.5 . 0.5 - PEN Hp , 1266.3. . He - . Hn Hp He . 04:09 UT. 04:09 UT, (100 nT) Hp , = arctan(Hp/He) 24 . 04:09 UT - Hp 2 . 04:28 UT . 6.5(a) CEPPAD 20 keV-400 keV - . 6.5(b)-6.5(e) GSM. 96 . - (6.5(f)) ( 6 ) . Po-lar L11 2 MLT - 6.1. GSM (7.65, 4.47, 3.51) - . - 04:22 UT. 7 24 , 17 . ( 90 ) - Cluster , 6.6. - 3D S/C_1 4 , 1 . 3D 16 9 . . - 04:25 UT ( ) 5 . 04:30UT - 7 . , 04:37 UT, - -. , / 04:30 UT 127 6. 0510Electron_count_ratesPOLAR10degfromspinaxis30degfromspinaxis50degfromspinaxis96sec resolution556575Bx_gsm(nT)15202530By_gsm(nT)51015202530Bz_gsm(nT)65707580Btotal_gsm(nT)(a)(b)(c)(d)(e)(counts/sec)510152025300Exy(mV/m)4:00 4:09 4:18 4:27 4:36 4:45 4:54 5:03 5:12TIME(UT)(f) 6.5: Polar. , GSM . 04:22 UT [from Vogiatzis et al.,2005]. Cluster. 6.7 Cluster - 04:26-04:32 UT Vz, Bx . - 2 Vz . - , -1286.3. 30609012004:25:02306090120306090120306090120306090120306090120306090120306090120306090120306090120306090120306090120306090120609012060901201801308030180609012004:26:0318013080301806090120180130803018060901201801308030180609012018013080301806090120180130803018060901201801308030180609012018013080301806090120180130803018060901201801308030180609012018013080301806090120180130803018060901201801308030180609012018013080301806090120180130803018060901201801308030180609012004:27:03180130803018060901201801308030180609012018013080301803060901201801308030180306090120180130803018030609012018013080301806090120180130803018060901201801308030180609012018013080301806090120180130803018060901201801308030180609012018013080301806090120180130803018060901201801308030180609012004:28:0018013080301806090120180130803018060901201801308030180609012018013080301806090120180130803018060901201801308030180609012018013080301806090120180130803018060901201801308030180609012018013080301806090120180130803018060901201801308030180609012018013080301806090120180130803018060901201801308030180609012004:29:001801308030180609012018013080301806090120180130803018060901201801308030180609012018013080301806090120180130803018060901201801308030180609012018013080301806090120180130803018060901201801308030180609012018013080301803060901201801308030180609012018013080301806090120180130803018030609012030609012004:30:003060901203060901206090120306090120306090120306090120306090120306090120306090120306090120306090120306090120306090120306090120180130803018030609012004:31:0118013080301803060901201801308030180306090120180130803018030609012018013080301803060901201801308030180306090120180130803018030609012018013080301803060901201801308030180306090120180130803018030609012018013080301803060901201801308030180306090120180130803018030609012018013080301803060901201801308030180306090120180130803018030609012004:32:0118013080301803060901201801308030180306090120180130803018030609012018013080301803060901201801308030180306090120180130803018030609012018013080301803060901201801308030180306090120180130803018030609012018013080301803060901201801308030180306090120180130803018030609012018013080301803060901201801308030180306090120180130803018030609012004:33:0118013080301803060901201801308030180306090120180130803018030609012018013080301803060901201801308030180306090120180130803018030609012018013080301803060901201801308030180306090120180130803018030609012018013080301803060901201801308030180306090120180130803018030609012018013080301803060901201801308030180306090120180130803018030609012004:34:011801308030180306090120180130803018030609012018013080301803060901201801308030180306090120180130803018030609012018013080301803060901201801308030180306090120180130803018030609012018013080301803060901201801308030180306090120180130803018030609012018013080301803060901201801308030180306090120180130803018030609012030609012004:35:02306090120306090120306090120306090120306090120306090120306090120306090120306090120306090120306090120306090120306090120306090120180130803018030609012004:36:0218013080301803060901201801308030180306090120180130803018030609012018013080301803060901201801308030180306090120180130803018030609012018013080301803060901201801308030180306090120180130803018030609012018013080301803060901201801308030180306090120180130803018030609012018013080301803060901201801308030180306090120180130803018030609012004:37:03180130803018030609012018013080301803060901201801308030180306090120180130803018030609012018013080301803060901201801308030180306090120180130803018030609012018013080301803060901201801308030180306090120180130803018030 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15018013080301803030609012015018013080301803030609012015004:38:02180130803018030306090120150180130803018030306090120150180130803018030306090120150180130803018030306090120150180130803018030306090120150180130803018030609012015018013080301803060901201501801308030180306090120150180130803018030609012015018013080301803060901201501801308030180306090120150180130803018030609012015018013080301803060901201501801308030180306090120150180130803018030609012015004:39:03180130803018030609012015018013080301803060901201501801308030180306090120150180130803018030609012015018013080301803060901201501801308030180306090120150180130803018030609012015018013080301803060901201501801308030180306090120150180130803018030609012015018013080301803060901201501801308030180306090120150180130803018030609012015030609012015004:40:00306090120150306090120150306090120150306090120150306090120150306090120150306090120150306090120150306090120150306090120150306090120150306090120150306090120150306090120150180130803018030609012015004:41:0018013080301803060901201501801308030180306090120150180130803018030609012015018013080301803060901201501801308030180306090120150180130803018030609012015018013080301803060901201501801308030180306090120150180130803018030609012015018013080301803060901201501801308030180306090120150180130803018030609012015018013080301803060901201501801308030180306090120150180130803018030609012015004:42:0018013080301803060901201501801308030180306090120150180130803018030609012015018013080301803030609012015018013080301803030609012015018013080301803030609012015018013080301803030609012015018013080301803030609012015018013080301803030609012015018013080301803030609012015018013080301803030609012015018013080301803030609012015018013080301803030609012015018013080301803030609012015018013080301803030609012015004:43:0018013080301803030609012015018013080301803030609012015018013080301803030609012015018013080301803030609012015018013080301803030609012015018013080301803030609012015018013080301803030609012015018013080301803030609012015018013080301803030609012015018013080301803030609012015018013080301803030609012015018013080301803030609012015018013080301803030609012015018013080301803030609012015018013080301803030609012015004:44:01180130803018030306090120150180130803018030306090120150180130803018030306090120150180130803018030306090120150180130803018030306090120150180130803018030306090120150180130803018030306090120150180130803018030306090120150180130803018030306090120150180130803018030306090120150180130803018030306090120150180130803018030306090120150180130803018030306090120150180130803018030306090120150CLUSTERRAPID27/08/2001,04:20-04:45UT CLUSTER_1(RUMBA)-E3DD_BM,MODE:BurstAzimuthalSectorPolarAngle

[degrees]3060609012004:20:00306060901203060609012030606090120306060901203060609012030606090120306060901203060609012030606090120306060901203060609012030606090120306060901203060609012018013080301803060609012004:21:0118013080301803060609012018013080301803060609012018013080301803060609012018013080301803060609012018013080301803060609012018013080301803060609012018013080301803060609012018013080301803060609012018013080301803060609012018013080301803060609012018013080301803060609012018013080301803060609012018013080301803060609012018013080301803060609012018013080301803060609012004:22:01180130803018030606090120180130803018030606090120180130803018030606090120180130803018030606090120180130803018030606090120180130803018030606090120180130803018030606090120180130803018030606090120180130803018030606090120180130803018030606090120180130803018030606090120180130803018030606090120180130803018030606090120180130803018030606090 12018013080301803060609012004:23:02180130803018030606090120180130803018030606090120180130803018030609012018013080301803060901201801308030180306090120180130803018030609012018013080301803060901201801308030180306090120180130803018030609012018013080301803060901201801308030180306090120180130803018030609012018013080301803060901201801308030180306090120180130803018030609012004:24:021801308030180306090120180130803018030609012018013080301803060901201801308030180306090120180130803018030609012018013080301803060901201801308030180306090120180130803018030609012018013080301803060901201801308030180306090120180130803018030609012018013080301803060901201801308030180306090120180130803018030609012010110210003080130180030801301800308013018003080130180030801301800 2 4 6 8 10 12 1416 0 2 4 6 8 10 12 14 2 4 6 8 10 12 1416 0 2 4 6 8 10 12 14 0 2 10 12 1416 0 4 6 8 10 12 14 0 10 12 16 0 2 4 6 8 10 14 0 16 0 2 4 6 8 10 12 14counts/min 6.6: 3D S/C_1. . 04:30 UT 7 . [from Vogiatzis et al., 2005]. ( [Baker et al., 2002]). Bx , , Cluster , .129 6. 01020304050Counts/sec01020304050Counts/sec01020304050Counts/sec04:26 04:27 04:28 04:29 04:30 04:31 04:32TIME(UT)-4000400800Vz_gsm(km/sec)-10-5051015Bx_gsm(nT)051015Btotal(nT)S/C_1S/C_3S/C_490 pitchanglechannels00123S/C_1S/C_3S/C_4 6.7: 90 , . , Vz, Bx Btotal [from Vogiatzis et al., 2005].6.4 6.3 . - - (LANL-97A, 1994-084 1991-081). 1306.4. 9, 11 17 MLT, , 6.1. - . - . ( ) . - ( ) 90 [Reeves et al., 1990]. - 6.8 ( ) (0,0). ( ) , . - 3 ( ) 13 ( ). - 04:09 UT 04:16UT, 7 , [Korth et al., 1991 Birn et al., 1997a]. 04:06 UT , Cluster Bz - 6.9 ( )[ Baker et al., 2002]. - Cluster 1 700 km/sec - (, 6.9). [Hesse and Birn, 1991]. , Bz , [Ohtani et al., 1992]. GOES 8 04:09 UT GOES 8, 23 MLT, - [Takahashi et al.,1987], . -/ (Bz/t) [Aggson et al., 1983], Lui et al. [1988] Polar.131 6. AllSatellites0.00 0.01 0.020100200300400500600AllSatellites0.00 0.01 0.02(1/V)(sec/km)050100150200T(seconds)T(seconds)(1/V)(sec/km) 6.8: . 3 ( ) 13 ( ), 04:09 UT 04:16 UT, . . , , LANL94, LANL97 LANL91, [from Vogiatzis et al., 2005]. , GOES 8 04:28 UT - "" , Polar 6.5. , - Polar. - - Polar. , . - - , (-1326.4. -1000-500050010001500Vx_gsm(km/sec)3:45 4:00 4:15 4:30 4:45-15-10-5051015Bz_gsm(nT)5:00TIME(UT) 6.9: , , , 700 km/sec [from Vogiatzis et al., 2005]. 6.4). (FACs). , - . , , [Kaufmann, 1987]. 6.5(c) FAC - Polar, - . FAC [Nagai,1982]. ( Po-lar 04:22 UT [Baker et al., 2002]), FAC. FAC, 04:19 UT, y ( By ). FAC, 04:20:40 UT, y , FAC , 04:25:20 UT, y ( By ). Lopez and Lui [1990b]. , - Btotal Bx 133 6. ZZXXYYPolar(L~11,2MLT)Polar(L~11,2MLT)GOES8(L~6.8,23MLT)GOES8(L~6.8,23MLT)Cluster(L~19,0MLT)Cluster(L~19,0MLT)Elevation70Elevation240Elevation10Elevation540Elevation240Elevation500BeforeDipolarizationat~04:09UTAfterDipolarizationat~04:30UT 6.10: -. , - [from Vogiatzis et al., 2005].Btotal , J. , -/ J Btotal, ( 6.5(e)) [Lopez et al., 1988a]. , - GOES 8, 04:22 UT ( ). 6.10. 1346.4. 10 10Energy(KeV)310210-410-2100102104Protons/(keV

cm2sr

s)Spectra27/08/200110101010 10 10Energy(KeV)2 3-6-4-2100102104104Electrons/(keV

cm2sr

s) 6.11: S/C_1 04:00-04:05 UT ( ) 04:30-04:35 UT( ) Cluster ( (g) (h) 6.3). , . , - (spectrum softening) [from Vogiatziset al., 2005]. , . 04:09 UT ( ), , - . 04:30 UT , (). 6.7 . / - Cluster Cluster , - . 135 6. X-

~04:00:38UT~04:06UT~04:09UT~04:09UT~04:16UT~04:30UT~04:08:19UTCDClusterBz>0

Cluster(Vx~500km/sec)z

95keVE>95keV(a)(b)(c)020406080Bx_gsm(nT)SC1SC2SC3SC46:00 6:30 7:00 7:30 8:00 8:30 9:00 9:30 10:006:00 6:30 7:00 7:30 8:00 8:30 9:00 9:30 10:00 6:00 6:30 7:00 7:30 8:00 8:30 9:00 9:30 10:00-20-100102030Bz_gsm(nT)-40-20TIME(UT)4sec resolution6:00 6:30 7:00 7:30 8:00 8:30 9:00 9:30 10:00 6:00 6:30 7:00 7:30 8:00 8:30 9:00 9:30 10:006:00 6:30 7:00 7:30 8:00 8:30 9:00 9:30 10:00 6:00 6:30 7:00 7:30 8:00 8:30 9:00 9:30 10:00(d)(e)6:00 6:30 7:00 7:30 8:00 8:30 9:00 9:30 10:00 6:00 6:30 7:00 7:30 8:00 8:30 9:00 9:30 10:0010110010-110-210-310-410-310-3Plasma

Beta(f) 7.2: ((a)-(c)) Cluster 06:00-10:00 UT 7 , 2002. Bx Bz (d) (e) GSM . (f) ., 5 ( 7.5) [from Vogiatziset al., 2006].151 7. - 7:00 7:15 7:30 7:45 8:00 8:15 8:30 8:45 9:00204060801007:00 7:15 7:30 7:45 8:00 8:15 8:30 8:45 9:0060801001201407:00 7:15 7:30 7:45 8:00 8:15 8:30 8:45 9:00-40-30-20-10010207:00 7:15 7:30 7:45 8:00 8:15 8:30 8:45 9:0090100110120130140GOES81minresolutionHp(nT)He(nT)Hn(nT)Htotal(nT)7:00 7:15 7:30 7:45 8:00 8:15 8:30 8:45 9:000204060801007:00 7:15 7:30 7:45 8:00 8:15 8:30 8:45 9:0002040607:00 7:15 7:30 7:45 8:00 8:15 8:30 8:45 9:00-1001020307:00 7:15 7:30 7:45 8:00 8:15 8:30 8:45 9:00020406080100GOES101minresolutionHp(nT)He(nT)Hn(nT)Htotal(nT)TIME(UT) TIME(UT) 7.3: GOES8 GOES10 07:39 UT [from Vogiatzis et al., 2006]. 7 , 2002 , , - , Dst -100 nT 07:00 08:00 UT. AL -1500 nT. 07:00-09:30 UT 7.1. Cluster X-14 RE, Y8 RE Z1 RE, GSM , SC1. SC3 . 7.2 Cluster FGM 06:00-10:00 UT 7 , 2002. , SC1 . (a) (b) , RAPID. (c) 1991-080/LANL91 07:41 UT, . (d) (e) , GSM , Bx Bz Cluster. - (f) . 1527.3. RAPID FGM, Cluster - . , 07:44 UT, . 08:00 UT Cluster -/ 25 08:28 UT . , 07:30 UT, Bx 09:00 UT , Bz 20 nT, - . , , 09:15 UT. 7.3 GOES8 GOES10 . - 1 PEN Hp - , . He - . Hn Hp He . GOES10 07:15 07:39 UT. 07:15UT, - Hp He = arctan(Hp/He) 26. 07:15 UT - Hp 19 , - 5 . , 07:39 UT, 1991-080 07:41 UT., GOES8 08:04UT . 25 GOES10 GOES8. . Cluster , - 7.4. 3D - SC1 4 (30-120 keV) 30 . - 10, 30, 60, 90, 120, 150 170. -153 7. - 7.4: 3D SC1 30-120 keV. -. - . , , (1 2 ) ( 6 ) 2 3 7.2, 5 - , . 3D 16 13 , 9 [from Vogiatzis et al., 2006]. (08:44-08:49 UT) (09:15-09:20 UT) 1547.3. Spectra10/07/2002SC1Protons/(keV

cm2sr

s)Energy(KeV)07:12-07:17UT08:44-08:49UT09:15-09:20UT10 100 1000Electrons/(keV

cm2sr

s)Energy(KeV)07:12-07:17UT08:44-08:49UT09:15-09:20UT10-1100101102103104(b)10-1100101102103104(a)10 100 1000 7.5: SC1 07:12-07:17 UT ( ), 08:44-08:49 UT () 09:15-09:20 UT ( ) Clus-ter ( (a) (b) 7.2). . -, , - ( 7.4) [from Vogiatzis et al., 2006].- , , ( 7.5). , Cluster . 90 Cluster ( 7.2, (a)). ,- ( ) ( /) . . 7.5 - SC1 5 7.2. 7.5(a) 155 7. - 160 -180 pitchangle0 080 -100 pitchangle0 0(b)(c)0024680510152025Counts/spinCounts/spin-55152503060902630-20-1001020Bx_gsm(nT)Bz_gsm(nT)ElevationAngle(degrees)Btotal(nT)(d)(e)(f)(h)Ey(mV/m)0 -20 pitchangle0 0 SC1channels0 pixelnormalized30-120keV123(a)9:55 9:40 9:45 9:50246810Counts/spin8:40 8:45 8:50 8:55 9:00 9:05 9:10 9:15 9:20 9:25 9:30 9:3510141822(g)TIME(UT)-0.400.40.81.21.6 7.6: , 1 , SC1. (a)-(c) . (d), (e), (f) (g) Bx Bz, , . , (h) GSE [from Vogiatzis et al., 2006]. . 1567.3. 10 100 100010-1100101102103104105Bi-directional09:17-09:19UT09:28-09:30UT0 -200 0160 -1800 010 100 100010-1100101102103104105Spectra07/10/2002SC1Perpendicular80 -1000 010 100 100009:20-09:22UT09:39-09:41UT09:41-09:43UT10-110010110210310410 100 100010-110010110210310410510 100 100009:29-09:31UT09:47-09:49UT10-110010110210310410 100 100010-1100101102103104105Bi-directionalElectrons/(keV

cmsr

spin)2Energy(keV)Electrons/(keV

cmsr

spin)2Electrons/(keV

cmsr

spin)2Electrons/(keV

cmsr

spin)2Electrons/(keV

cmsr

spin)2Electrons/(keV

cmsr

spin)2 Energy(keV)Energy(keV) Energy(keV)Energy(keV) Energy(keV)PerpendicularPerpendicular Bi-directional09:17-09:19UT09:28-09:30UT09:20-09:22UT09:39-09:41UT09:41-09:43UT09:29-09:31UT09:47-09:49UT(a) (b)(c) (d)(e) (f) 7.7: 2 , [from Vogiatzis et al., 2006].. , ( 7.5(b)) . ( ) - - , ( ) 157 7. - . - , . 7.6 -XYGOES8(L~6.8,3MLT)GOES10(L~6.7,23MLT)Cluster(L~17,22MLT)Elevation280Elevation100Elevation580Z 7.8: GOES10 07:39 UT - 1991-080 07:41 UT. , [from Vogiatzis et al., 2006]. - - ( (a)-(c)). - (d), (e), (f) (g) Bx Bz GSM , - arctan(Bz/Bx) Btotal, . (h) Ey - -, GSE -. - - , . , 90 . / . (c), (d) (g) 09:15 UT Bx Btotal ( ). , (f) - (- (h)). , 08:58 UT . - , 7.7. 2 . (a), (c) (e) 1587.4. . (a)-(b), (c)-(d) (e)-(f) - . - , . GOES10 7.8. 3D . 07:39UT, , , , . 09:15 UT, , ( 7.1 ).7.4 7.2, - . - 07:39UT GOES10, 23 MLT, - [Takahashi et al., 1987], LANL91. GOES10 LANL91 GOES10 LANL91. / (Bz/t) [Shepherd et al., 1980 Aggson et al., 1983] , Lui et al.[1988]. , ( -) GOES10 - 07:15 UT , - , . GOES8 7.3 - . , Htotal 08:04 UT He -159 7. - Htotal , J. , / J Htotal, ( 7.3, GOES8)( , 6.5 6 1 Williams et al. [1990]). GOES8, - GOES10 Htotal J 07:15UT. Htotal GOES8 GOES10 . GOES8, Htotal He, Htotal GOES10 , Hp. . GOES10 23 MLT, [Nagai, 1982 Lopez et al.,1988b Lopez and Lui, 1990b]. , GOES10 , , [Angelopoulos et al., 1994, 1996] [Baumjohann et al., 1990, 1999 Nagai et al.,1998a]. , [Hesse and Birn, 1991]. , Hp , Hp Htotal ( 7.3). , GOES8, , - He Htotal, 7.3. , GOES8 GOES10 . , ( 7.2, 08:28 UT ) , [Vogiatzis et al., 2005]. 7.2 7.5, - - , 90 . 1607.4. , . -, , Cluster - - -, . , 08:28 UT, . - , , - . , , "" . , , 7.6. : ) -/ - . , ,) - 90 , ) , , . , - , ) 09:15 UT - , - - . , . , . 7.7, , - , 161 7. - , - . Vogiatzis et al.[2005], Cluster /. - , .7.5 90 . , . . , - , . - - . . ( 7.6) - . , . , -UT 07:15 07:39 09:15GOES8 30deg 28deg 71degGOES10 26deg 58deg 72degCluster 19deg 10deg 65deg 7.1: - GOES8,GOES10 Cluster - , , - [from Vogiatzis et al.,2006]. Hada et al. [1981]Smets et al. [1999] Shiokawa et al.[2003], Fer-mi - - - -. Shiokawa et al. [2003], - - , ., (h) 7.6, - . Fermi . -, 1627.5. Fermi, , Hoshino et al. [2001], - X. 6, . . , , . (steady-state scenario), , - , , - . , - [Cravens,1997]. . , Poynting 10

S(E B) da (. 7.2) S , - ( da ). . , [Cravens, 1997]. ( - ), . Poynting ,

V(E J) d = 10

S(E B) da

V

0E Et + 10B Bt

d (7.1),163 7. - dWdt = 10

S(E B) da ddt

V12

0E2+ 10B2

d [Joule/sec] (7.2) V S [ Griths, 1999]. - V S. . V. , - () ( V) . , - c2B2/E2>>1 . . , ,10B Bt = t

B220

(7.3) () V. B/t Faraday. , , , , - . Poynting GOES - GOES8 GOES10. , , S GOES8, 08:04 UT . , . (7.3) t

B220

0 (. (7.1)), . GOES8, GOES10 . GOES10 -. , 1647.5. [Angelopoulos et al., 1994, 1996] [Baumjohann et al., 1990, 1999 Nagai et al., 1998a], - . , , , V. , Poynting S , 10

S(E B) da