ከኚ㔞⮬ᕫᅇᖐ䝰䝕䝹䜢⏝䛔䛯㟼Ṇ㌶㐨ୖ䛾
2MeV㟁Ꮚ䝣䝷䝑䜽䝇୍᪥ᖹᆒ್䛾ண
ᆏཱྀḷ⧊
1,୕ዲ⏤⣧
2,㛗ጔດ
1,㰺⸨ៅྖ
1,㛵⳹ዉᏊ
2,ᮧ⏣ྐ
1 [1]ሗ㏻ಙ◊✲ᶵᵓ, [2]ྡྂᒇᏛኴ㝧ᆅ⌫⎔ቃ◊✲ᡤᨺᑕ⥺ᖏእᖏ䜢ᵓᡂ䛩䜛㧗䜶䝛䝹䜼䞊㟁Ꮚ䝣䝷䝑䜽䝇䠄energetic electron flux: EEF䠅䛿䚸ኴ㝧άື䛾ᙳ㡪 䜢ཷ䛡᱆༢䛷ኚື䛩䜛䚹≉䛻
MeV䜶䝛䝹䜼䞊ᖏ䛾
EEF䛾㔞䛜ᴟ➃䛻ከ䛟䛺䜛䛸䚸῝㒊ᖏ㟁䛻䜘䜚ᆅ⌫䜢࿘
ᅇ䛧䛶䛔䜛ேᕤ⾨ᫍ䛻㞀ᐖ䜢䜒䛯䜙䛩ᜍ䜜䛜䛒䜛䚹䛣䛾
EEF䛾ኚື䜢ᩘ᪥๓䛻ண 䛩䜛ᡭἲ䛸䛧䛶䚸⚾䛯䛱䛿 ከኚ㔞⮬ᕫᅇᖐ䝰䝕䝹䜢㛤Ⓨ䛧䚸䛭䛾ண ⢭ᗘ䜢⥺ᙧ䝰䝕䝹[Baker et al., 1990]䛸ẚ㍑䛧䛯䚹ኴ㝧㢼㏿ᗘ䛾 䜏䛾୍ኚ㔞䜢ධຊ䛸䛧䛶䛔䛯ᚑ᮶䛾⥺ᙧ䝰䝕䝹䛸␗䛺䜚䚸⮬ᕫᅇᖐ䝰䝕䝹䛿ከኚ㔞䠄䛘䜀䚸ኴ㝧㢼㏿ᗘ䚸ᝨ
ᫍ㛫✵㛫☢ሙ༡ᡂศ䚸ኴ㝧㢼ືᅽ䚸EEF䠅䛾⣔ิ䝕䞊䝍䜢ධຊ䛸䛧䛶
EEF䛾ண ್䜢ィ⟬䛩䜛䛣䛸䛜≉
ᚩ䛷䛒䜛䚹୧⪅䛾ẚ㍑䛾⤖ᯝ䚸ኴ㝧㢼㏿ᗘ௨እ䛾ኚ㔞䜢䝰䝕䝹䛻ຍ䛘䜛䛣䛸䛷䚸ண ⢭ᗘ䛿୍ኚ㔞䛾⥺ᙧ䝰 䝕䝹䜘䜚㧗䛟䛺䜛䛣䛸䛜ศ䛛䛳䛯䚹ᚋ䛿䚸䛣䛾ከኚ㔞⮬ᕫᅇᖐ䝰䝕䝹䜢䝸䜰䝹䝍䜲䝮䝕䞊䝍䜢ධຊ䝕䞊䝍䛻⏝
䛔䛯䝅䝇䝔䝮䛸䛧䛶ᐇ䛩䜛䛣䛸䛻䜘䜚䚸䜘䜚⢭ᗘ䛾㧗䛔
EEF䛾ண ್䜢ᥦ౪䛷䛝䜛䜘䛖䛻䛺䜛䛸⪃䛘䛶䛔䜛䚹
1. 䛿䛨䜑䛻
ᨺᑕ⥺ᖏእᖏ䜢ᵓᡂ䛩䜛㧗䜶䝛䝹䜼䞊㟁Ꮚ䝣䝷䝑䜽䝇䛿䠄energetic electron flux: EEF䠅䚸ኴ㝧άື䛾ᙳ㡪䜢 ᙉ䛟ཷ䛡᱆༢䛷䛝䛟ኚື䛩䜛䚹≉䛻䚸㟼Ṇ㌶㐨䛾
MeV䜶䝛䝹䜼䞊ᖏ䛾
EEF䛾ᑐᩘ್䛿ኴ㝧㢼㏿ᗘ䛸ṇ䛾
┦㛵䛜䛒䜛䛣䛸䛜▱䜙䜜䛶䛔䜛 [Pulikas and Blake, 1979]䚹䛣䛾㛵ಀ䜢⏝䛧䛶䚸Baker et al., [1990]䛿䚸㟼Ṇ㌶
㐨ୖ䛾
2MeV௨ୖ䛾
EEF䛜⥺ᙧண 䝣䜱䝹䝍䞊䠄linear prediction filter: LPF䠅䜢⏝䛔䛶ᩘ᪥ඛ䜎䛷ண 䛷䛝䜛䛣 䛸䜢♧䛧䛯䚹䛧䛛䛧᭱㏆䚸ኴ㝧㢼㏿ᗘ௨እ䛻䜒
EEF䜢䝁䞁䝖䝻䞊䝹䛧䛶䛔䜛䝟䝷䝯䞊䝍䛜䛒䜛䛣䛸䛜ሗ࿌䛥䜜䛿䛨䜑 䛯䚹䛘䜀䚸㧗㏿ኴ㝧㢼䛸ඹ䛻༡ᡂศ䛜㈇䠄༡ྥ䛝䠅䛾ᝨᫍ㛫✵㛫☢ሙ䛜ᆅ⌫䛻฿᮶䛧䛯ሙྜ䚸EEF 䛿㏻ᖖ 䜘䜚ከ䛟ቑຍ䛩䜛ഴྥ䛜䛒䜛䛣䛸䛜ሗ࿌䛥䜜䛶䛔䜛[Miyoshi and Kataoka, 2008]䚹䜎䛯ኴ㝧㢼ືᅽ䛜ᙉ䛔ሙྜ䚸
EEF䛿ῶᑡ䛩䜛ഴྥ䛜䜚䚸☢Ẽᅪ䛜ᅽ⦰䛥䜜䜛䛣䛸䛻䜘䛳䛶⢏Ꮚ䛜☢Ẽᅪ⏺㠃䛛䜙ᾘኻ䛩䜛䛣䛸䛜せᅉ䛰䛸ゎ㔘 䛥䜜䛶䛔䜛[Ohtani et al., 2009; Saito et al., 2010]䚹䛣䜜䜙䛾ኴ㝧㢼㏿ᗘ䛸䛿⊂❧䛺䝟䝷䝯䞊䝍䛻ᑐ䛩䜛
EEF䛾౫ Ꮡᛶ䛜䚸ᚑ᮶䛾ኴ㝧㢼㏿ᗘ䛾䜏䜢ධຊ䛸䛧䛶䛘䜛⥺ᙧண 䝣䜱䝹䝍䞊䛾ண ್䛾⢭ᗘ䜢ຎ䛥䛫䛶䛔䛯䛸⪃
䛘䜙䜜䜛䚹䛭䛣䛷䚸ᮏ◊✲䛷䛿ண ⢭ᗘ䜢ྥୖ䛥䛫䜛䛯䜑䚸ከኚ㔞䜢ධຊ䝟䝷䝯䞊䝍䛸䛧䛶䛘䜛䛣䛸䛜䛷䛝䜛ண 䝰䝕䝹䜢᪂䛯䛻㛤Ⓨ䛧䛯䚹
2. ከኚ㔞⮬ᕫᅇᖐ䝰䝕䝹
ᮏ◊✲䛷
EEF䜢ண 䛩䜛䛯䜑䛻㛤Ⓨ䛧䛯䝰䝕䝹䛿䚸EEF 䛸ኴ㝧㢼䛾⣔ิ䝕䞊䝍䜢ධຊ䛸䛩䜛ከኚ㔞⮬ᕫ ᅇᖐ䝰䝕䝹䛷䛒䜛䚹⮬ᕫᅇᖐ䝰䝕䝹䛸䛿䚸䛒䜛⣔ิ
yt䜢䚸䛭䛾㐣ཤ䛾ほ ್
yt-n䛸ⓑⰍ㞧㡢䛾⥺ᙧ䛷⾲
第８回「宇宙環境シンポジウム」講演論文集
This document is provided by JAXA.
⌧䛩䜛䝰䝕䝹䛷䛒䜛䚹
yt anytn
n 1
¦
m vt䠄䠍䠅
䛣䛣䛷䚸m 䛿⮬ᕫᅇᖐ䛾ḟᩘ䚸a
n䛿⮬ᕫᅇᖐಀᩘ䛷䛒䜛䚹䜎䛯䚸v
t䛿ᖹᆒ 0䚸ศᩓ
ı2䛾ṇつศᕸ䛻ᚑ䛔㐣 ཤ䛾⣔ิ
yt-n䛸䛿⊂❧䛺ⓑⰍ㞧㡢䛷䛒䜛䚹
䛣䛾⮬ᕫᅇᖐ䝰䝕䝹䛾⣔ิ䜢
yt䜢䚸Y
t = ( yt ( 1 ), …, yt ( l ))T䛸䛩䜛䛣䛸䛷ከኚ㔞⮬ᕫᅇᖐ䝰䝕䝹䛸䛧䛶
⣔ิ䜢⾲⌧䛩䜛䛣䛸䜒䛷䛝䜛䚹ῧᏐ
T䛿㌿⨨⾜ิ䜢ព䛩䜛䚹
Yt AnYtn
n 1
¦
m Vt䠄2䠅
䛣䛣䛷䚸A
n䛿
an(i, j)䜢 (i, j) ᡂศ䛸䛩䜛
l㽢
l⾜ิ䛷⮬ᕫᅇᖐಀᩘ⾜ิ䚸V
t䛿
lḟ䛾ⓑⰍ㞧㡢䛷䛒䜛䚹ᮏ◊
✲䛷䛿䚸ኚ㔞䛸䛧䛶
EEF䛸ኴ㝧㢼㏿ᗘ䞉ືᅽ䚸ᝨᫍ㛫✵㛫☢ሙ༡ᡂศ䜢⏝䛔䛶䛔䜛䚹Baker et al., [1990] 䛜
⏝䛔䛯⥺ᙧ䝰䝕䝹䛿䠄2䠅ᘧ䜢ኴ㝧㢼㏿ᗘ䛸
EEF䛾ኚᩘ䛷ᵓᡂ䛧䚸EEF 䛾⮬ᕫᅇᖐಀᩘ䜢㞽䛻㏆ఝ䛧䛶䛔䜛䚹 䛭䛾䛯䜑
EEF䛾ண 䛿䠄䠏䠅ᘧ䛾
a1,…,m(i,i)䜢㞽䛻䛧䛯ᘧ䛷⾲⌧䛥䜜䜛䚹
yt(i)
an(i, i)ytn(i)an(i, j)ytn(j)vt(i),n 1
¦
m a1m(i, i) 0䠄䠏䠅 䛣䛣䛷䚸i 䛿
EEF䚸j䛿ኴ㝧㢼㏿ᗘ䜢ព䛩䜛䚹
3. ⮬ᕫᅇᖐಀᩘ䛾᥎ᐃ
ᘧ䠄䠎䠅䛾ከኚ㔞⮬ᕫᅇᖐ䝰䝕䝹䜢⏝䛔䛶
EEF䜢ண 䛩䜛䛯䜑䛻䛿䜎䛪䚸⮬ᕫᅇᖐಀᩘ⾜ิ
An䜢᥎ᐃ䛩䜛 ᚲせ䛜䛒䜛䚹ᮏ◊✲䛷䛿䚸䐟EEF 䛾ᑐᩘ್䛸ኴ㝧㢼㏿ᗘ䛾⣔ิ䝕䞊䝍䜢⏝䛔䛯ኚ㔞䝰䝕䝹䛾ಀᩘ䛸䚸䐠
EEF䛾ᑐᩘ್䛸ኴ㝧㢼㏿ᗘ䚸ᝨᫍ㛫✵㛫☢ሙ䛾
Zᡂศ䚸ኴ㝧㢼ືᅽ䛾ᑐᩘ್䛾ᅄኚ㔞䝰䝕䝹䛾ಀᩘ䜢ồ䜑 䛯䚹ಀᩘ䛾᥎ᐃ䛻䛿
Yule-Walker᪉⛬ᘧ䛸
Levinson’s algorithm䜢⏝䛔䛯䚹䝰䝕䝹䛾ホ౯ᇶ‽䛸䛧䛶䛿䚸AIC䠄㉥
ụሗ㔞つ‽䠅䜢⏝䛧䚸ண ㄗᕪศᩓ䛜ᑠ䛥䛟䚸䛛䛴䝰䝕䝹䛸䛧䛶ྜ⌮ⓗ䛺䝟䝷䝯䞊䝍ᩘ䠄ᅇᖐ䛾ḟᩘ䠅䜢㑅
ᢥ䛧䛯㻌
[ᕝ, 2005]䚹ᮏ◊✲䛷ಀᩘ䜢᥎ᐃ䛾䛯䜑䛻⏝䛔䛯䝕䞊䝍䛿䚸1999-2003ᖺ䠄5 ᖺ㛫䠅䛾⡿ᅜ䛾㟼Ṇ㌶
㐨⾨ᫍ
GOES10䛜 ᐃ䛧䛶䛔䜛䜶䝛䝹䜼䞊䛜
2 MeV௨ୖ䛾㟁Ꮚ䝣䝷䝑䜽䝇䠄Counts/cm
2/sr/s䠅䛾ᑐᩘ್䛸䚸NASA/SPDF
䛜ᥦ౪䛧䛶䛔䜛
OMNI2䝕䞊䝍䝉䝑䝖䛾ኴ㝧㢼㏿ᗘ䠄km/s䠅䚸ᝨᫍ㛫✵㛫☢ሙ༡ᡂศ䠄nT䠅䚸ኴ㝧
㢼ືᅽ䠄nPa䠅䛾ᑐᩘ್䛷䛒䜛䚹ᝨᫍ㛫✵㛫☢ሙ䛾༡ᡂศ䛿
GSMᗙᶆ⣔䛾
Zᡂศ䛾್䜢⏝䛔䛯䚹䛶䛾䝕 䞊䝍䛿䚸୍᪥ᖹᆒ್䛾⣔ิ䛸䛧䛶ᢅ䛳䛯䚹
4. ண ⤖ᯝ
ୖグ䛷ồ䜑䛯⮬ᕫᅇᖐಀᩘ䝧䜽䝖䝹䛚䜘䜃䠄䠎䠅ᘧ䜢⏝䛔䛶ண 䛥䜜䛯
EEF䛾್䛸䚸GOES10 䛜ᐇ㝿䛻ほ 䛧
䛯
2004ᖺ
1ᖺ㛫䛾
2 MeV௨ୖ䛾
EEF䛾ほ ್䜢ᅗ䠍䛻♧䛩䚹ୖ䛛䜙䚸䠄a䠅ኴ㝧㢼㏿ᗘ䛾䜏䜢ධຊ䛸䛧䛯⥺ᙧ
ண 䚸䠄b䠅EEF 䛸ኴ㝧㢼㏿ᗘ䜢ධຊ䛸䛧䛶䐟䛾ᅇᖐಀᩘ䝧䜽䝖䝹䜢⏝䛔䛯ᅇᖐ䝰䝕䝹ண 䚸䠄c䠅EEF䚸ኴ㝧㢼㏿
宇宙航空研究開発機構特別資料 -$;$63
This document is provided by JAXA.
ᗘ䞉ືᅽ䛸ᝨᫍ㛫✵㛫☢ሙ༡ᡂศ䜢ධຊ䛸䛧䛶䐠䛾 ᅇᖐಀᩘ䝧䜽䝖䝹䜢⏝䛔䛯ᅇᖐ䝰䝕䝹ண 䛾⤖ᯝ䛷䛒 䜛䚹㉥⥺䛜୍᪥๓䛻ண 䛥䜜䛯್䚸㯮⥺䛜ᐇ㝿䛾ほ
್䛾୍᪥䠄ᆅ⌫୍࿘䠅ᖹᆒ್䜢♧䛩䚹䠄a䠅䛾⥺ᙧ䝰䝕䝹 䛿䚸EEF 䛜ኚື䛩䜛䝍䜲䝭䞁䜾䜢ண 䛩䜛䛣䛸䛻䛿ᴫ䛽 ᡂຌ䛧䛶䛔䜛䛜䚸⤯ᑐ್䛾ண ⢭ᗘ䛿ᝏ䛔䛣䛸䛜ศ䛛䜛䚹
≉䛻䚸2MeV ௨ୖ䛾
EEF䛜
105 (Counts/cm2 sr s)䜢㉸䛘䛯䚸2004 ᖺ
210᪥䠄➨
23άື࿘ᮇ䛷㟼Ṇ㌶㐨䛾
EEF䛜್᭱䜢グ㘓䛧䛯䝍㇟䠅䜢ண 䛷䛝䛶䛔䛺䛔䛣䛸䛿䚸 ᏱᐂኳẼணሗ䛾ほⅬ䛛䜙ၥ㢟䛷䛒䜛䚹䛭䜜䛻ẚ䜉䛶䠄b䠅 䛾⮬ᕫᅇᖐ䝰䝕䝹䜢⏝䛔䛯ண 䛿䚸䛣䛾䜘䛖䛺䛝䛺䝣 䝷䝑䜽䝇䛾ኚ䜒䜋䜌䛻ண 䛷䛝䛶䛔䜛䚹䛯䛰䛧ኚ
ື䛾䝢䞊䜽್䛿䚸ほ ್䛛䜙䛝䛟እ䜜䛶䛔䜛⟠ᡤ䛜䛔 䛟䛴䛛䛒䜛䚹䠄c䠅䛾ᅄኚ㔞䜢ධຊ䛻⏝䛔䛯⮬ᕫᅇᖐ䝰䝕 䝹䛷䛿䚸䠄b䠅䛷䛿ண ⢭ᗘ䛜ᝏ䛛䛳䛯ኚື䛾䝢䞊䜽್䛜 ᨵၿ䛥䜜䛶䛔䜛䚹䛣䜜䛿䚸ᝨᫍ㛫✵㛫☢ሙ༡ᡂศ䛜
㈇䛾್䜢䜒䛳䛯䛸䛝䛾
EEF䛾ቑຍ䚸ኴ㝧㢼ືᅽ䛜㧗䛔䛸 䛝䛾
EEF䛾ῶᑡ䛾ຠᯝ䛜ຍ䛥䜜䛯䛛䜙䛰䛸⪃䛘䜙䜜䜛䚹 䠄c䠅䛿
EEF䛜
105 (Counts/cm2 sr s)䜢㉸䛘䜛䝍䜲䝭䞁䜾䛸䝣䝷䝑䜽䝇䜢୍␒Ⰻ䛟ண 䛧䛶䛔䜛䚹
5. 䜎䛸䜑
ᨺᑕ⥺ᖏእᖏ䜢ᢸ䛖䜶䝛䝹䜼䞊䛜
2 MeV௨ୖ䛾
EEF䛾㟼Ṇ㌶㐨ୖ䛷䛾ኚື䜢ண 䛩䜛䛯䜑䛻ከኚ㔞⮬ᕫ ᅇᖐ䝰䝕䝹䜢㛤Ⓨ䛧䛯䚹䝰䝕䝹䛻⏝䛔䜛⮬ᕫᅇᖐಀᩘ䝧䜽䝖䝹䛿䚸1999 ᖺ䛛䜙
2003ᖺ䠄5 ᖺ㛫䠅䛾
GOES10䛷 ほ 䛥䜜䛯䜶䝛䝹䜼䞊䛜
2 MeV௨ୖ䛾
EEF䛸䚸OMNI2 䝕䞊䝍䛸䛧䛶ᥦ౪䛥䜜䛶䛔䜛ኴ㝧㢼㏿ᗘ䞉ືᅽ䚸ᝨᫍ
㛫✵㛫☢ሙ༡ᡂศ䛛䜙᥎ᐃ䛧䛯䚹Baker et al., [1990]䛜⏝䛔䛯⥺ᙧண 䝰䝕䝹䛸ከኚ㔞⮬ᕫᅇᖐ䝰䝕䝹䛻 䜘䜛ண ⤖ᯝ䜢ẚ䜉䛯⤖ᯝ䚸ከኚ㔞⮬ᕫᅇᖐ䝰䝕䝹䛾᪉䛜䜘䜚⢭ᗘ䜘䛟
EEF䛾ኚື䛾⤯ᑐ್䜢ண 䛧䛶䛔䜛䛣 䛸䛜ศ䛛䛳䛯䚹䜎䛯⮬ᕫᅇᖐ䝰䝕䝹䛾ධຊ䛸䛧䛶䚸ኴ㝧㢼㏿ᗘ䛰䛡䛷䛺䛟ᝨᫍ㛫✵㛫☢ሙ༡ᡂศ䛸ኴ㝧㢼ື
ᅽ䜢⏝䛔䜛䛣䛸䛷⢭ᗘ䛿䜘䜚㧗䛟䛺䜛䛣䛸䜒ศ䛛䛳䛯䚹ᚋ䛿䚸䛣䛾䝰䝕䝹䜢䚸䝸䜰䝹䝍䜲䝮䝕䞊䝍䜢ධຊ䛸䛧䛯䝅䝇 䝔䝮䛸䛧䛶ᐇ䛧䚸䜘䜚⢭ᗘ䛾㧗䛔ண ್䜢ᥦ౪䛩䜛䝅䝇䝔䝮䜢㛤Ⓨ䛩䜛ணᐃ䛷䛒䜛䚹
ㅰ㎡
GOES10䚸OMNI2
䝕䞊䝍䛾ᥦ౪ඖ䛷䛒䜛
NASA/GSFC, Space Physics Data Facility䛾
CDAWeb䛻ឤㅰ䛧䜎䛩䚹
ᅗ䠍. ⥺ᙧ䝰䝕䝹䞉ከኚ㔞⮬ᕫᅇᖐ䝰䝕䝹䜢⏝䛔䛶 ண 䛧䛯䠄㉥⥺䠅EEF 䛸ᐇ㝿䛾ほ ್䠄㯮⥺䠅䛾ẚ㍑䚹4 ኚ㔞䜢ධຊ䝟䝷䝯䞊䝍䛸䛧䛶ᢅ䛳䛯(c)䛜᭱䜒ほ 䜢⢭ᗘ䜘䛟ண 䛧䛶䛔䜛
第８回「宇宙環境シンポジウム」講演論文集
This document is provided by JAXA.
ཧ⪃ᩥ⊩
Baker, D. N., R. L. McPherron, T. E. Cayton, and R. W. Klebesadel (1990), Linear Prediction Filter Analysis of Relativistic Electron Properties at 6.6 RE, J. Geophys. Res, 95(A9), 15133-15140.
ᕝ※ᅄ㑻 (2005), ⣔ิゎᯒධ㛛, ᒾἼ᭩ᗑ
Miyoshi, Y., and R. Kataoka (2008), Flux enhancement of the outer radiation belt electrons after the arrival of stream interaction regions, J. Geophys, Res, 113, A03S09, doi:10.1029/2007JA012506.
Ohtani, S., Y. Miyoshi, H. J. Singer, and J. M. Weygand (2009), On the loss of relativistic electrons at geosynchronous altitude: Its dependence on magnetic configurations and external conditions, J. Geophys. Res., 114, A01202, doi:10.1029/2008JA013391.
Paulikas, G. A., and J. B. Blake (1979), Effects of the solar wind on magnetospheric dynamics: Energetic electrons at the synchronous orbit, in Quantitative Modeling of Magnetospheric Processes, edited by W. P. Olson, pp.
180–202, AGU, Washington, D. C.
Saito, S., Y. Miyoshi, and K. Seki (2010), A split in the outer radiation belt by magnetopause shadowing: Test particle simulations, J. Geophys. Res., 115, A08210, doi:10.1029/2009JA014738.
宇宙航空研究開発機構特別資料 -$;$63
This document is provided by JAXA.
