Space environment (natural and artificial) Geomagnetic reference models

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1 ISO TC /SC 4 79 D: -9-3 ISO/CD 6695 ISO TC /SC 4/WG 4 Sc: ASI Spc vo ul fcl Goc fc ols Élé oucf Élé cl Élé coplé W Ts ocu s o ISO Iol S. I s sbu fo vw co. I s subjc o c wou oc y o b f o s Iol S. Rcps of s f v o sub w cos ofco of y lv p s of wc y w o pov suppo ocuo. Docu yp: Iol SISO Gu Docu subyp: Docu s: 4 Equy Docu lu: EE

2 ISO 6695 Copy oc Ts ISO ocu s Df Iol S s copy-poc by ISO. Excp s p u pplcbl lws of uss couy s ISO f o y xc fo y b pouc so vl sys o s y fo o by y s lcoc poocopy co o ows wou po w psso b scu. Rquss fo psso o pouc soul b ss o ISO ss blow o ISOs b boy couy of qus. ISO copy offc Cs posl 56 CH- Gv Tl Fx E-l copy@so.o Wb Rpouco y b subjc o oyly pys o lcs. Volos y b poscu.

3 ISO 6695 Tbl of Cos Fowo... v Iouco... v Scop... ov fcs... 3 Ts fos Rfc fs Gocc fc f Goc fc f Goc o occ coo sfo Spcfco of c vco B Mc vco copos occ f Mc ls oc fc f Tsfo of c vco copos fo occ o oc f Spcfco of c ol Pol of c fl Goc fc us Epoc of ol Vly of ol T-pc of Guss coffcs Clculo of c vco copos occ fc f Spl wvl RMS ffc bw wo ols Mol us xpls Copu fc c vco -E spc Copu fc c ls E s sufc... Ax... Iol Goc Rfc Fl.... Mol wb s.... S-lo sofw....3 Ol clculos Dclo sl po Mc vco ls sl po Mc vco ls s pofls....4 Cs of c ls... Glossy of coys... 3

4 ISO 6695 Fowo ISO Iol Ozo fo Szo s wolw fo of ol ss bos ISO b bos. T wok of pp Iol Ss s olly c ou ou ISO ccl cos. Ec b boy s subjc fo wc ccl co s b sbls s o b ps o co. Iol ozos ovl o-ovl lso w ISO lso k p wok. ISO collbos closly w Iol Elcoccl Cosso IEC o ll s of lcoccl szo. Iol Ss f ccoc w uls v ISO/IEC Dcvs P. Df Gus op by sposbl Co o Goup ccul o b bos fo vo. Publco s Gu qus ppovl by ls 75 % of b bos cs vo. Ao s w o possbly so of ls of s ocu y b subjc of p s. ISO sll o b l sposbl fo fy y o ll suc p s. Ts ISO Gu ws pp by Tccl Co ISO/TC Acf spc vcls Subco 4 Spc syss opos. v

5 ISO 6695 Iouco Fo cus oc fc ols v b us o scb vco fl fo xpl by s co s s fuco of poso. Suc ols wly us upp-ospc oospc ospc sc ccz -E spc vo. Ty fu pov ssl fc fo vo u o cool subsyss of spccf ou bs syss. E s c fl s ps suc ols s spcl oc xpso of quvl scl c pol. Ts pso ws popos by Kl Fc Guss s b us v sc o scb oc fl. T spcl oc coffcs of oc fl cooly cll Guss coffcs. I 969 Iol Assoco fo Gos Aooy IAGA ouc Iol Goc Rfc Fl IGRF wc uss Guss pso o scb E s c fl. Ts Iol S closly os sbls spcfco of suc ols clu quos copuol pocu. T svl l xl soucs cobu o obsv c fl. All of s soucs ffc scfc o vol su bu oly so of ps oc fc ols. T sos cobuo by f s c fl pouc by oos E s lqu-o ou co; s s cll co fl. Ts co fl cs pcpbly fo y o y. W xpol pol voluo of fl o fuu l xpolo of Guss coffcs s us. Goc fc ols spcfy Guss coffcs fo s poc pov l c ov s s of so-cll scul vo SV coffcs. Du o upcbl o-l cs co fl pcv oc fc ols vl oly fo l po uss subsquly v o up o w vso. O soucs lso cobu o c fl: Mc ls cus upp l v s o c ols wc c b sfc loclly. Elcc cus uc by flow of couc s w ou b c fl k fu lb wk cobuo o obsv c fl. T-vy lcc cus upp osp -E spc xl c fl. T xl fl os o v o zo ov. Is sy cobuo c fo b clu oc fc ol us xl Guss coffcs w l scul vo. T vy xl c fls fu uc lcc cus E ocs pouc scoy l c fls. Sc s o l cossus o ow o sp s vous l xl soucs s lf o pouc of oc fc ol o spcfy wc of s l xl soucs clu ol y l lo o vly of xl p of ol v

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7 COMMITTEE DRAFT ISO/CD 6695 Spc vo ul fcl Goc fc ols Scop Ts Iol S fs fc ols ps oc fl. I closly os clfs spcfcos wc v b us fo y cs. T ppoc s o ps cospo scl c pol by spcl oc xpso v spcf ucl coffcs cll Guss coffcs. Cs of c fl oll by l -pc of c Guss coffc. Ts ocu povs quos sp-bysp copuol pocu o vlu oc fc ol fo y s loco. o spcf s s s po of opyscl co of oc fc ol. I s lf o pouc of ol o spcfy wc l xl c soucs clu o xclu fo ol. ov fcs T follow fc ocus spsbl fo pplco of s ocu. Fo fcs oly o c ppls. Fo u fcs ls o of fc ocu clu y s ppls. IST Hbook of Mcl Fucos ISB ppbck o-l p://lf.s.ov/4. Bckus G. R.L. Pk C. Cosbl 996. Fouos of os. Cb Uvsy Pss. Gsy I.S. I.M. Ryzk 994. Tbl of ls ss poucs 5. Acc Pss. Hsk W. H. Moz 967. Pyscl osy. S Fcsco: W.H. F Copy. ISO 9:7 Gopc foo Spl fc by coos ISO 9 Spc syss Mol of Es ospc c fl Ll R.A T fl. I Gos by J.A. Jcobs Acc Pss Ts fos Fo puposs of s ocu follow s fos pply. 3. Rfc fs Fo posos o fo E s cusoy o us occ fc f o solv c fl vco o copos bs o s occ f. Fo posos o Es sufc s cusoy o us oc fc f bs o s WGS84 llpso of oo ppox Es sufc o solv c fl vco o copos bs o s oc f. o ow xs oc f s ppcul o sufc of WGS84 llpso. Dflcos of vcl cus by locl vy ols v o b k c of by us o cov by s s s Sco 4.. Gocc oc coos llus Fu. ISO 9 All s sv

8 ISO 6695 Fu : A xl coss-sco ou po of s P wc s lou.ts po P s spcf occ spcl pol coos by s sc fo E c O cc l of OP l w quol xy-pl. T s po P s oc coos v by s bov WGS84 fc llpso cc l of s oc ol w xy-pl. 3.. Gocc fc f A po loco occ Cs coos s v by s x y z s us oc Cs coos s Sco 3.. bu o ISO 9 uss cpl. Equvlly coos c b spcf s occ spcl pol φ w s lou φ s occ lu s sc fo E c. T p s us o sus occ fo oc s w cssy. 3.. Goc fc f T oc fc f s bs o WGS 84 fc llpso. Ts s llpso of oo v f s-jo xs quol pl A fl f. Ts ls o s-o xs sslly lo sp xs of A-f. Spcfclly A f f f w s fs cccy. ISO 9 All s sv

9 ISO 6695 A po loco oc coos s v by φ w s lou φ s oc lu s sc ol o llpso bov WGS 84 fc llpso. Goc occ lous cl. Ts oclu follows ISO 9. A po loco c lso b spcf by Cs coos x y z WGS84 fc sys w posv z x xs po cos of s-o xs p spcvly; s s s s occ Cs coo sys. Fo WGS 84 llpso w v fo ρ c us of cuvu of ol sco oc lu ρ c A s 3..3 Goc o occ coo sfo T oc coos φ sfo o spcl occ coos φ by coz s s bo coo syss φ s copu fo φ cco o quos: ρ x y z ρ c ρ cos c s ρ z 3 z cs H ρ s s-ws cylcl us of cuvu. 3. Spcfco of c vco B 3.. Mc vco copos occ f A po of s P φ oc fl vco B c b scb by 3 oool copos locl Cs coo sys w o P xs occ spcl-pol cos v by φ. Fo socl sos owv pl s us F. w s oly sy sly sy w l sy posv ows E s c. T u vcos of oc fl copos us po φ v- cos spcvly. T qus szs of ppcul vcos vcolly o B. o oo of s coo sys vs w ul poso. T syss of fl fo spcl oc ol lly poucs s. copos. ISO 9 All s sv 3

10 ISO 6695 Sou Ws o Es B To E c Fu : T copos of oc fl vco B occ fc f 3.. Mc ls oc fc f T oc fl vco B s fully scb by ppop s of ls bu pcc 7 ls vously us s F. 3. T oool s s oly sy sly sy vcl sy posv owws. Ao oool s s ol sy F clo l I lso cll p l su fo ozol pl o fl vco posv owws clo l D lso cll c vo su clockws fo u o o ozol copo of fl vco. T sv l s ozol sy H. I scpos of F H I D bov vcl co s ppcul o Wol Goc Sys WGS84 llpso ol of Es sufc ozol pl s ppcul o vcl co ool cos clockws cou-clockws by vw fo bov. 4 ISO 9 All s sv

11 ISO 6695 Sou Ws D o Es I H F Fu 3: T 7 ls of oc fl vco B oc fc f. H F s l of vco B. T qus szs of ppcul vcos vcolly o B; cos fo locl Cs coo sys. T cospo locl spcl pol coos o by F I D. I bo s locl coo syss oo vs w poso o sufc. T c ls H F I D copu fo oool copos: H F H I c H D c 4 w c b s / b k o ccou ul qu vo vso by zo sul clo of π o π clo of π / o / π I quos copu sub-ous ls s bu ypcl us sofw llows pu/oupu s. Covsly c b fo qus F I D. T scul vo of s ls s copu us ISO 9 All s sv 5

12 ISO ISO 9 All s sv H D F H H I F F H H 5 w I D v s/y. Ts ul cs ypclly cov by us sofw o c-us/y Tsfo of c vco copos fo occ o oc f T occ c fl vco copos o o oc fc f us cos s s cos 6 w cospo quos fo vvs of vco copos cos s s cos Spcfco of c ol 3.3. Pol of c fl I bsc of locl lcc cus c fl B bvs s pol fl c b w s v spl of scl pol V ssfy Lplc quo V. I occ spcl coos φ s vs V B 8 T pol V s xp s of spcl ocs:

13 ISO 6695 V cos cos s P s P s s w uco s of l xl xpso spcvly 637 s oc fc us lou lu us spcl occ fc f l xl -p Guss coffcs of o. T Sc s-olz ssoc L fucos P µ w µ s s l ub vl [-;] f s! P µ P µ f >! P µ P µ f Ts follows fo of P cooly us osy os.. Hsk µ Moz 967; Ll 987. Spl fucos fo occ lu : P3 s s5s 3 3 P3 s cos 5s P s 5s s Ts P µ l o P µ f IST Hbook of Mcl Fucos Sco 4. p 35 o Gsy Ryzk 994 Cp 8.7 by P µ P Goc fc us µ T oc fc us us spcl oc xpso of c pol s fx by covo 637. T Guss coffcs fc o s vlu. I s fo po o us xcly s vlu copuo of fl ls Epoc of ol T Guss coffcs of oc fc ol spcf s of fx bs- so-cll poc of ol. T poc s v cl y; fo xpl s Vly of ol 3 3 P3 3s 5cos Du o o-l cs of E s c fl oc fc ols vl oly fo l po. T s s of ol v cl y. Fo xpl ol vly of. o 5. s ol s vl fo :: -J- o :: 5-J-. T xl coffcs ps fls fo souc so o ous. Fo obsvo po fu ou souc cospo fl s ow l. So s l us byo wc xl coffcs o ppop. Ts us wll b spcf by ol lo w xu of xl s. Mc fls cus by lcc cus osp spcfclly cov by ISO S 9 "Spc syss - Mol of Es ospc c fl". 9 ISO 9 All s sv 7

14 ISO ISO 9 All s sv T-pc of Guss coffcs T Guss coffcs fo s fo ol coffcs l scul vo ol coffcs poc s H s v cl ys s poc of ol Clculo of c vco copos occ fc f T c fl vco copos occ fc f copu s s P s cos s P s cos V 3 s P cos s cos s P cos s cos cos V 4 s P s cos s P s cos V 5

15 ISO 6695 ISO 9 All s sv 9 Cospoly scul vo of c fl copos copu s s P s cos s P s cos V 6 s P cos s cos s P cos s cos cos V 7 s P s cos s P s cos V Spl wvl A ol of spcl oc ccous fo c fls v spl wvls l o qul o / 36 c l s Sc of Bckus l RMS ffc bw wo ols I s sos po o ssss ffc bw wo oc fc ols. Ts coul b succssv ups of s ol fo ff pocs o wo ly ff ols. T squ of ffc-vco B -B bw wo ols k ov sp fc us s copu follow Bckus l. 996 Sc s R R / / cos 4 π π π π B B 9

16 ISO 6695 R [ [ ] ] H R s -squ of ffc-vco bw wo ols up o oubl l povs v ov oc fc sp R s vc of ffc-vco of. H Guss coffcs of fs ol coffcs of sco ol ssu zo fo l spcv of xpso. T RMS ffc bw wo ols s f s RMS R 4 Mol us xpls 4. Copu fc c vco -E spc I Low E Ob LEO s covol o xpss c fl vco occ f. To copu suc fc c fl vco.. o u of spccf ypclly qus follow sps:. D cl ys poso of spccf v lou occ lu us. Copu Guss coffcs fo ll s os fo s Sc Copu ol c fl vco copos occ fc f Sc o cop w su c fl vco o u of spccf 4. Copu fc c ls E s sufc Es sufc s covol o xpss c fl vco oc f. To copu suc fc c fl fo v loco ypclly qus follow sps:. Coos s cl ys lou oc lu bov WGS 84 llpso. Hs bov s lvl ppoxly follow qupol sufc kow s o o b cov o bov llpso. Ts c b cv fo xpl by us ol o clculo p://fo..l/gg/ws84/vyo/96/p.l wc vs of o bov WGS 84 llpso.. Cov oc o occ coos Sc Copu Guss coffcs fo ll s os fo s Sc Copu c fl vco copos occ fc f Sc Sc clo of vcl ow cos ff bw occ oc fc fs c fl vco copos v o b o fo occ o oc fc f Sc 3..3 o ob. 6. Copu c clo y o s c ls Sc 3.. oc fc f. ISO 9 All s sv

17 ISO 6695 T copu c fl ls oc fc f w spc o locl u coo sys w ow xs s ppcul o sufc of WGS84 llpso. Dflcos of vcl cus by locl vy ols v o b k c of by us o cov by s s. ISO 9 All s sv

18 ISO 6695 Ax A fov Iol Goc Rfc Fl T Iol Goc Rfc Fl IGRF ws ouc by Iol Assoco of Gos Aooy IAGA 968 spos o fo s spcl oc pso of Es fl. T ol s up 5-yly vls pouc ls by IAGA Wok Goup V-MOD.. Mol wb s p:// S-lo sofw T follow publc o sofw fo IGRF s vlbl fo owlo IGRF wb s: Go.c: Po C-lu by OAA s ol Gopyscl D C sbu bo s souc co s pcopl vsos fo Wows Lux. I copus c fl vco ls fo v locos occ o oc s o s of s. T po fu s co l sps opos o fcl p pocss. If.f: A FORTRA po by Bs Golocl Suvy. T IGRF coffcs b o souc co. Opos clu vlus ff locos ff s spo vlus s loco o y vls ss of vlus o ; oc o occ coos lu & lou s cl s o s & us o coc of fl o scul vo o bo oly..3 Ol clculos.3. Dclo sl po p:// p://www-pp3.fz-pos./dcloclc/cloclc.l.3. Mc vco ls sl po p:// p://wc.ku.kyoo-u.c.jp/f/po/x.l p:// Mc vco ls s pofls p:// p://owb.sfc.s.ov/vo/f_vo.l.4 Cs of c ls p://wc.ku.kyoo-u.c.jp/f/x.l ISO 9 All s sv

19 ISO 6695 Glossy of coys IAGA Iol Assoco fo Gos Aooy WGS84 Wol Goc Sys 984 ISO 9 All s sv 3

Convergence tests for the cluster DFT calculations

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