ex89kp.f
14.6 KB
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subroutine ex89kp (indval,tilt,x,y,z,bx,by,bz,ier)
c*
c***********************************************************************
c*
c* "Copyright [c] CNES 98 - tous droits reserves"
c* **********************************************
c*
c*PRO MAGLIB
c*
c*VER 99.03.31 - V 1.0
c*VER 01.05.30 - V 2.0
c*VER 03.01.06 - V 2.1
c*
c*AUT spec. Nikolai a. Tsyganenko
c*AUT Institute of Physics, Leningrad University
c*AUT Stary Petergof 1989 04 Leningrad USSR
c*AUT port. CISI
c*
c*ROL Theme : Modeles de champs magnetiques
c*ROL Calcul du champ interne d'origine magnetospherique en
c*ROL fonction de l'angle de tilt et de l'indice geomagnetique Kp.
c*
c*PAR indval (I) : indice geomagnetique : niveau d'amplitude du champ
c*
c*PAR tilt (I) : angle de tilt (radians)
c*
c*PAR x (I) : coordonnee solaire magnetique en x (rayons terrestres)
c*PAR y (I) : coordonnee solaire magnetique en y (rayons terrestres)
c*PAR z (I) : coordonnee solaire magnetique en z (rayons terrestres)
c*
c*PAR bx (O) : composante en x dans le systeme solaire magnetospherique
c*PAR : (gauss)
c*PAR by (O) : composante en y dans le systeme solaire magnetospherique
c*PAR : (gauss)
c*PAR bz (O) : composante en z dans le systeme solaire magnetospherique
c*PAR : (gauss)
c*
c*PAR ier (O) : code de retour
c*
c*NOT indval : 1 = Kp = 0 , 0+
c*NOT indval : 2 = Kp = 1- , 1 , 1+
c*NOT indval : 3 = Kp = 2- , 2 , 2+
c*NOT indval : 4 = Kp = 3- , 3 , 3+
c*NOT indval : 5 = Kp = 4- , 4 , 4+
c*NOT indval : 6 = Kp > 5-
c*
c*NOT ier : sans objet
c*
c*NOT Traite les composants GSM du champ magnetique produits par les
c*NOT systemes extraterrestres courantsdans la geomagnetosphere.
c*NOT Le modele est valide jusqu'a des distances geocentriques de
c*NOT 70 rayons terrestres et bases sur l'union des jeux de donnees
c*NOT satellite imp-a,c,d,e,f,g,h,i,j (1966-1974) and heos-1,-2
c*NOT (1969-1974).
c*NOT Reference: n.a. Tsyganenko, A magnetospheric
c*NOT magnetic field model with a warped tail current sheet: planet.
c*NOT space. sci., v.37, pp.5-20, 1989.
c*
c*INF utilise : sans objet
c*
c*HST version 1.0 - 99.03.31 - creation de la maglib au CDPP
c*HST version 2.0 - 01.05.30 - correction de commentaires de code
c*HST version 2.1 - 03.01.06 - corrections en compilation avec g77
*
c***********************************************************************
c*
implicit none
c
c ---------------------------------
c*FON Declaration identificateur rcs_id
c ---------------------------------
c
character rcs_id*100
c
c --------------------------
c*FON Declaration des parametres
c --------------------------
c
integer indval
double precision tilt
double precision x, y, z
double precision bx, by, bz
integer ier
c
c ---------------------------------
c*FON Declaration des variables locales
c ---------------------------------
c
integer i
c*LOC i : indice de boucles
c
integer ip
c*LOC ip : valeur initiale de indval (= 100)
c
double precision ga1(28),ga2(28),ga3(28),ga4(28),ga5(28)
double precision ga6(28),pa(28)
double precision a,a02,aa4sps,adr,adrt,adrt2,adt2r2,at,brzr1
double precision brzr2,bxc,bxcf,bxdr,bxt,byc,bycf,byt
double precision bzc,bzcf,bzt,cps,d,d0,dadd,dadd05,dadd18
double precision dd,ddel,ddop,ddopdx,ddr,ddx,ddy,del,delx
double precision dfdrx,drdy2m,drdycm,dwcx,dwcy,dwx,dwy
double precision dy,dyc,dzsx,dzsy,ex,f1,f3,f5,f7,f9,fcy,fdr
double precision fk1,fk2,fr,fs,fxm,fxp,fy,fym,fyp,fzm,fzp
double precision g,gam,gspm,h,ha02,hldxm,hlwc2m,hsx,htps
double precision hxlw2m,hy,hys,psi,rc,rdy2,rdyc2,ro2,rq,rqc2
double precision rsmrt,rsprt,rsqxdl,rt,rx2a2,s1,sm,sp,sps
double precision srq,srqc2,srx2a2,sx,sxc,sxrc16,sxsix
double precision t,tdr,w,wc,wcsm,wcsp,wt,wtfs,x2sm,xd
double precision xld2,xlw2,xlwc2,xrc,xsixt,xsixtd,xsm
double precision xsx,xsxc,xwcywc,xwyw,xxd, xxd2l2
double precision y2,y4,y410,yz,z2,zm,zp,zr,zs,zsm
c*LOC Variables de travail intermediaires
c
SAVE
c
c ---------------------------------
c*FON Affectation identificateur rcs_id
c ---------------------------------
c
data rcs_id /"
>$Id$"/
c
c --------------------------
c*FON Affectation des constantes
c --------------------------
c
data ga1/ -98.72d0, -10014.d0, 15.03d0, 76.62d0,
> -10237.d0, 1.813d0, 31.1d0, -0.07464d0,
> -0.07764d0, 0.003303d0, -1.129d0, 0.001663d0,
> 0.000988d0, 18.21d0, -0.03018d0, 0.d0,
> 0.d0, 0.d0, 0.d0, 24.74d0,
> 8.16d0, 2.08d0, -0.88d0, 9.08d0,
> 3.84d0, 13.55d0, 26.94d0, 5.75d0/
c
data ga2/-35.65d0, -12800.d0, 14.37d0, 124.5d0,
> -13543.d0, 2.316d0, 35.64d0, -0.0741d0,
> -0.1081d0, 0.003924d0, -1.451d0, 0.00202d0,
> 0.00111d0, 21.37d0, -0.04567d0, 0.d0,
> 0.d0, 0.d0, 0.d0, 22.33d0,
> 8.12d0, 1.664d0, 0.932d0, 9.24d0,
> 2.43d0, 13.81d0, 28.83d0, 6.05d0/
c
data ga3/ -77.45d0, -14588.d0, 64.85d0, 123.9d0,
> -16229.d0, 2.641d0, 42.46d0, -0.07611d0,
> -0.1579d0, 0.004078d0, -1.391d0, 0.00153d0,
> 0.000727d0, 21.86d0, -0.04199d0, 0.d0,
> 0.d0, 0.d0, 0.d0, 20.9d0,
> 6.28d0, 1.54d0, 4.18d0, 9.61d0,
> 6.59d0, 15.08d0, 30.57d0, 7.43d0/
c
data ga4/ -70.12d0, -16125.d0, 90.71d0, 38.08d0,
> -19630.d0, 3.181d0, 47.5d0, -0.1327d0,
> -0.1864d0, 0.01382d0, -1.488d0, 0.002962d0,
> 0.000897d0, 22.74d0, -0.04095d0, 0.d0,
> 0.d0, 0.d0, 0.d0, 18.64d0,
> 6.27d0, 0.935d0, 5.39d0, 8.57d0,
> 5.94d0, 15.63d0, 31.47d0, 8.10d0/
c
data ga5/ -162.5d0, -15806.d0, 160.6d0, 5.888d0,
> -27534.d0, 3.607d0, 51.1d0, -0.1006d0,
> -0.1927d0, 0.03353d0, -1.392d0, 0.001594d0,
> 0.002439d0, 22.41d0, -0.04925d0, 0.d0,
> 0.d0, 0.d0, 0.d0, 18.31d0,
> 6.2d0, 0.768d0, 5.07d0, 10.06d0,
> 6.67d0, 16.1d0, 30.04d0, 8.26d0/
c
data ga6/ -128.4d0, -16184.d0, 149.1d0, 215.5d0,
> -36435.d0, 4.09d0, 49.09d0, -0.0231d0,
> -0.1359d0, 0.01989d0, -2.298d0, 0.004911d0,
> 0.003421d0, 21.79d0, -0.05447d0, 0.d0,
> 0.d0, 0.d0, 0.d0, 19.48d0,
> 5.83d0, 0.332d0, 6.47d0, 10.47d0,
> 9.08d0, 15.85d0, 25.27d0, 7.98d0/
c
data del /0.01d0/
c
data gam /4.d0/
c
data dyc /20.d0/
c
data xd /0.d0/
c
data xld2 /40.d0/
c
data xlw2 /170.d0/
c
data a02 /25.d0/
c
data rt /30.d0/
c
data sxc /4.d0/
c
data xlwc2 /50.d0/
c
data dadd /1.d0/
c
data ip /100/
c
data psi /10.d0/
c
c ******************
c Debut de programme
c ******************
c
ier = 0
c
c --------------------------------------------------------------
c*FON Calcul initial des constantes a partir d'un jeu donne de
c*FON parametres d'un modele specifie par le numero en option (indval)
c --------------------------------------------------------------
c
c cas ou indval est egal a 100
if (indval.ne.ip) then
c
ip = indval
c
do 10 i = 1, 28
if (ip .eq. 1) pa(i) = ga1(i)
if (ip .eq. 2) pa(i) = ga2(i)
if (ip .eq. 3) pa(i) = ga3(i)
if (ip .eq. 4) pa(i) = ga4(i)
if (ip .eq. 5) pa(i) = ga5(i)
if (ip .eq. 6) pa(i) = ga6(i)
10 continue
c
delx = pa(20)
adr = pa(21)
d0 = pa(22)
dd = pa(23)
rc = pa(24)
g = pa(25)
a = pa(26)
dy = pa(27)
sx = pa(28)
ha02 = 0.5d0 * a02
rdyc2 = 1.d0 / dyc**2
hlwc2m = -0.5d0 * xlwc2
drdycm = -2.d0 * rdyc2
hldxm = -0.5d0 * xld2
ddel = 2.d0 * del
rdy2 = 1.d0 / dy**2
drdy2m = -2.d0 * rdy2
hxlw2m = -0.5d0 * xlw2
dadd05 = dadd * 0.5d0
dadd18 = -18.d0 * dadd
c
c ---------------------------------------------------------
c*FON Coefficients pa(16)-pa(19) sont trouves dans pa(6)-pa(13)
c*FON afin que le champ magnetique soit moins divergent
c ---------------------------------------------------------
c
pa(16) = -0.5d0 * (pa(6) / delx + pa(10))
pa(17) = -(pa(7) / delx + pa(11))
pa(18) = -(pa(8) / delx + 3.d0 * pa(12))
pa(19) = -(pa(9) / delx + pa(13)) / 3.d0
psi = tilt
sps = sin(tilt)
cps = cos(tilt)
htps = sps / (2.d0 * cps)
gspm = -g * sps
c
c cas ou indval prend les autres valeurs
else
c
if (abs(tilt - psi) .lt. 1.d-6) then
c aucun traitement
else
psi = tilt
sps = sin(tilt)
cps = cos(tilt)
htps = sps / (2.d0 * cps)
gspm = -g * sps
endif
c
endif
c
c ------------------------------------------------------------
c*FON Le traitement commence ici si indval et tilt sont identiques
c ------------------------------------------------------------
c
xsm = x * cps - z * sps
zsm = z * cps + x * sps
x2sm = xsm**2
y2 = y * y
ro2 = x2sm + y2
xxd = xsm - xd
xxd2l2 = 1.d0 / (xxd**2 + xld2)
rsqxdl = sqrt(xxd2l2)
h = 0.5d0 * (1.d0 + xxd * rsqxdl)
hsx = - hldxm * xxd2l2 * rsqxdl
xsixt = xsm + 16.d0
xsixtd = 1.d0 / (xsixt**2 + 36.d0)
sxsix = sqrt(xsixtd)
ddop = dadd05 * (1.d0 - xsixt * sxsix)
ddopdx = dadd18 * xsixtd * sxsix
d = d0 + del * y2 + gam * h + ddop
ddx = gam * hsx + ddopdx
ddy = ddel * y
xrc = xsm + rc
sxrc16 = sqrt(xrc**2 + 16.d0)
y4 = y2 * y2
y410 = 1.d0 / (y4 + 1.d4)
hy = y2 * y410 * y
hys = hy * y410 * 4.d4
hy = hy * y
zs = htps * (xrc - sxrc16) + gspm * hy
dzsx = htps * (1.d0 - xrc / sxrc16)
dzsy = gspm * hys
c
c -------------------------------------------------------
c*FON zs = zs(xsm,ysm) definissent le format du champ courant
c -------------------------------------------------------
c
xsx = xsm - sx
rq = 1.d0 / (xsx**2 + xlw2)
srq = sqrt(rq)
fy = 1.d0 /(1.d0 + y2 * rdy2)
w = 0.5d0 * (1.d0 - xsx * srq) * fy
dwx = hxlw2m * rq * srq * fy
dwy = drdy2m * w * y * fy
zr = zsm - zs
t = sqrt(zr**2 + d**2)
at = a +t
s1 = sqrt(at**2 + ro2)
f5 = 1.d0 / s1
f7 = 1.d0 / (s1+ at)
f1 = f5 * f7
f3 = f5**3
f9 = at *f3
xwyw = xsm * dwx + y * dwy
fr = zr * (xsm * dzsx + y * dzsy)
fs = fr - d * (xsm * ddx + y * ddy)
wt = w / t
wtfs = wt * fs
brzr1 = wt * f1
brzr2 = wt * f3
bxt = (pa(1) * brzr1 + pa(2) * brzr2) * zr
byt = bxt * y
bxt = bxt * xsm
bzt = pa(1) * (w * f5 + xwyw * f7 + wtfs * f1) +
> pa(2) * (w * f9 + xwyw * f1 + wtfs * f3)
c
c ---------------------------------------------------------
c*FON La contribution de la page courante de la queue centrale
c*FON (bxt,byt,bzt) est trouvee. Maintenant traitons les champs
c*FON peripheriques
c ----------------------------------------------------------
c
rx2a2 = 1.d0 / (x2sm + a02)
srx2a2 = sqrt(rx2a2)
fdr = 0.5d0 * (1.d0 + xsm * srx2a2)
dfdrx = ha02 * rx2a2 * srx2a2
ddr = d0 + dd * fdr + ddop
tdr = sqrt(zr**2 + ddr**2)
adrt = adr + tdr
adrt2 = adrt**2
adt2r2 = 1.d0 / (adrt2 + ro2)
fk1 = adt2r2**2 * sqrt(adt2r2)
fk2 = 3.d0 * adrt * fk1 / tdr
bxdr = pa(5) * zr * fk2
byt = byt + bxdr * y
bxt = bxt + bxdr * xsm
bzt = bzt + pa(5) * ((2.d0 * adrt2 - ro2) * fk1 +
> fk2 * (fr - ddr * (dd * dfdrx + ddopdx) * xsm))
c
c ---------------------------------------------------
c*FON Calcul du champ Chapman-Ferraro et la moyenne de la
c*FON contribution des champs alignes courants
c ---------------------------------------------------
c
ex = exp(x / delx)
z2 = z * z
yz = y * z
bxcf = ex * (cps * pa(6) * z + sps * (pa(7) + pa(8)
> * y2 + pa(9) * z2))
bycf = ex * (cps * pa(10) * yz + sps * y *
> (pa(11) + pa(12) * y2 + pa(13) * z2))
bzcf = ex * (cps * (pa(14) + pa(15) * y2 + pa(16) * z2)
> + sps * z * (pa(17) + pa(18) * y2 + pa(19) * z2))
c
c -----------------------------------------------------------
c*FON La queue magnetique renvoie les composants du champ courant
c*FON (bxc,byc,bzc)
c -----------------------------------------------------------
c
fcy = 1.d0 / (1.d0 + y2 * rdyc2)
xsxc = x - sxc
rqc2 = 1.d0 / (xsxc**2 + xlwc2)
srqc2 = sqrt(rqc2)
wc = 0.5d0 * (1.d0 - xsxc * srqc2) * fcy
dwcx = hlwc2m * rqc2 * srqc2 * fcy
dwcy = drdycm * wc * y * fcy
xwcywc = x * dwcx + y * dwcy
ro2 = y2 + x**2
zp = z + rt
zm = z - rt
sp = sqrt(zp**2 + ro2)
sm = sqrt(zm**2 + ro2)
wcsp = wc / sp
wcsm = wc / sm
rsprt = 1.d0 / (sp + zp)
rsmrt = 1.d0 / (sm - zm)
fxp = wcsp * rsprt
fxm = - wcsm * rsmrt
fyp = fxp * y
fym = fxm * y
fxp = fxp * x
fxm = fxm * x
fzp = wcsp + xwcywc * rsprt
fzm = wcsm + xwcywc * rsmrt
aa4sps = pa(4) * sps
bxc = pa(3) * (fxp + fxm) + (fxp - fxm) * aa4sps
byc = pa(3) * (fyp + fym) + (fyp - fym) * aa4sps
bzc = pa(3) * (fzp + fzm) + (fzp - fzm) * aa4sps
c
c --------------------------------------------------
c*FON Somme des champs. Les composants centraux du champ
c*FON courant sont transformes en coordonnees GSM
c --------------------------------------------------
c
bx = bxc + bxt * cps + bzt * sps + bxcf
by = byc + byt + bycf
bz = bzc + bzt * cps - bxt * sps + bzcf
c
c ****************
c Fin de programme
c ****************
c
return
end