chp05.f
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subroutine chp05 (year,rre,thetr,phir,br,bt,bp,bb,ier)
c*
c***********************************************************************
c*
c*PRO MAGLIB
c*
c*VER 01.05.30 - V 2.0
c*VER 03.01.06 - V 2.1
c*VER 10.09.27 - V 3.0
c*VER 17.02.22 - V 4.0
c*
c*AUT spec. CNES - JC KOSIK - fevrier 2001
c*AUT port. CS-SI
c*
c*ROL Theme : Modeles de champs magnetiques
c*ROL Calcul des composantes du champ magnetique apres 2000.
c*
c*PAR year (I) : annee fractionnaire (>= 2005.)
c*
c*PAR rre (I) : distance radiale geocentrique (rayons terrestres)
c*PAR thetr (I) : colatitude geocentrique (radians)
c*PAR phir (I) : longitude geocentrique (radians)
c*
c*PAR br (O) : composante radiale du champ magnetique (gauss)
c*PAR bt (O) : composante tangentielle du champ magnetique le long
c*PAR : du meridien positive vers le bas (gauss)
c*PAR bp (O) : composante azimuthale du champ magnetique, positive
c*PAR : vers l'est (gauss)
c*
c*PAR bb (O) : module du champ magnetique (gauss)
c*
c*PAR ier (O) : code de retour
c*
c*NOT ier : sans objet
c*
c*NOT common : util, util2
c*
c*INF utilise : sans objet
c*
c*HST version 2.0 - 01.05.30 - Enrichissement de la maglib au CDPP
c*HST version 2.1 - 03.01.06 - corrections en compilation avec g77
c*HST version 3.0 - 10.09.27 - Passage aux coefficiens de Schmidt
c*HST définitifs et aux variations seculaires
c*HST interpolees
c*HST Modif de fn1 (10->100) car précision
c*HST des coeff 2005 sur 2 décimales
c*HST Modif de fn2 (100->1000) car précision
c*HST des coeff 2005 sur 2 décimales
c*HST version 5.0 - 22.02.17 - Passage aux variations séculaires
c* definitives
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
double precision year,rre,thetr,phir,br,bt,bp,bb
integer ier
c
c ----------------------------------
c*FON Declaration des variables communes
c ----------------------------------
c
double precision pi,dpi,rad,deg,pid,xmu,rayt
c
c*COM pi : constante pi (obtenue a partir de acos(-1.))
c*COM dpi : constante 2 * pi
c*COM pid : constante pi / 2
c*COM rad : facteur de conversion degres ----> radians
c*COM deg : facteur de conversion radians ----> degres
c*COM xmu : constante de gravitation terrestre (km**3/sec**2)
c*COM rayt : rayon equatorial terrestre (km)
c
common/util/pi,dpi,rad,deg,pid,xmu,rayt
c
double precision rgmt
c
c*COM rgmt : rayon geocentrique terrestre (km)
c
common/util2/rgmt
c
c ---------------------------------
c*FON Declaration des variables locales
c ---------------------------------
c
integer lg(195),lgt(195)
c*LOC lg, lgt : coefficients apres l'an 2005
c
integer kmax
c*LOC kmax : nombre de pas de calcul (= 14)
c
integer l,k,jj,nm,ntot,inc
c*LOC l,k,jj,nm,ntot,inc : indices de boucles et de tableaux
c
double precision gg(14,14),ggt(14,14),hh(14,14),hht(14,14)
double precision g(14,14),h(14,14),sh(14,14),fn(14),fm(14)
double precision cp(14),sp(14),p(14,14),dp(14,14),const(14,14)
double precision f1, f2, tzero, tmold,t,cph,sph,ct,st
double precision rrmag,ar,aor,temp,par
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
c Revision septembre 2010 - coefficients lg
c Revision fevrier 2017 - coefficients lgt
c
data lg/
> -2955463,-166905,507799,-233724,304769,-259450,165776,-51543,
> 133630,-230583,-19886,124639,26972,67251,
> -52472,92055,79796,28207,21065,-22523,-37986,14515,10000,
> -30536,-22700,35441,4272,20895,
> 18025,-13654,-12345,-16805,-1957,-1355,10385,7360,6956,-2033,
> 7674,5475,-15134,6363,
> -1458,-6353,1458,24,-8636,5094,7988,-7446,-6114,-165,-2257,
> 3873,682,1230,
> 2535,937,1093,542,-2632,194,-464,2480,762,1120,-1173,-2088,
> -688,983,
> -1811,-1971,1017,1622,936,761,-1125,-1276,-487,-6,558,976,
> -2011,358,
> 1269,-694,1267,501,-672,-1076,-816,-125,810,876,292,-666,-773,
> -922,
> 601,-217,-612,219,142,10,-235,446,-15,476,306,-658,29,-101,
> 206,-347,377,-86,-21,-231,-209,-793,295,-160,26,-188,144,144,
> -77,-31,-227,29,90,-79,-58,53,-269,180,-108,16,-158,96,
> -190,399,-139,-215,-29,-55,21,23,89,238,-38,-263,96,61,
> -30,40,46,1,-35,2,-36,28,8,-87,-49,-34,-8,88,
> -16,-88,-76,30,33,28,172,-43,-54,118,-107,-37,-4,75,
> 63,-26,21,35,53,-5,38,41,-22,-10,-57,-18,-82
> /
c
data lgt/
> 11612,16526,-26746,-11764,-4270,-22808,2082,-12060,710,-4142,
> 7692,-2858,-3594,-7756,
> -2462,-1578,2202,882,-8814,2840,4606,3862,-2120,-872,-774,576,
> 372,-1738,
> 1752,-902,1078,976,3912,1104,-562,-164,-174,-114,-164,-2114,
> 1988,-418,
> -1650,-546,-296,556,1654,892,112,-108,668,-580,274,1302,-56,340,
> -78,218,-780,-756,-258,596,272,-78,118,-72,-554,170,258,400,
> -246,460,288,98,298,-130,-560,404,266,340,-16,-62,-86,-26,
> -236,334,16,-376,-84,-324,148,98,-26,-66,-156,-352,330,-172,
> 200,46,-24,108,-106,-40,256,50,-2,-64,-122,-128,-124,10,
> 14,-96,-136,-226,-164,68,-142,-76,20,24,-26,-30,46,42,
> 22,-40,102,50,-10,0,38,-32,36,-2,-38,-8,-106,-42,
> -8,-48,-94,6,16,-64,18,8,30,-50,-50,28,-2,-24,
> 38,38,12,-2,-8,22,-2,-2,26,2,-56,22,24,-2,
> 14,-2,-22,2,-6,28,-12,-4,-10,-20,-14,12,-6,6,
> -18,16,-22,6,-8,14,12,2,-6,-32,8,-16,6
> /
c
data kmax /14/
c
data f1 /100.d0/, f2 /1000.d0/
c
data sp(1) /0.d0/
data p(1,1) /1.d0/
data cp(1) /1.d0/
data dp(1,1) /0.d0/
c
data tzero /2005.d0/
c
data tmold /0.d0/
c
data sh(1,1) /0.d0/
c
c ******************
c Debut de programme
c ******************
c
c ---------------
c*FON Initialisations
c ---------------
c
ier = 0
c
if (sh(1,1) .ne. -1.d0) then
sh(1,1) = -1.d0
c
c ---------------------------------------------------
c*FON Calcul des coefficients de Shmidt et des constantes
c ---------------------------------------------------
c
do 20 k = 1, kmax
fn(k) = k
do 10 l = 1, k
fm(l) = l - 1
const(k,l) = dble((k - 2)**2 - (l - 1)**2) /
> dble((2 * k - 3) * (2 * k - 5))
10 continue
20 continue
c
do 40 k = 2, kmax
sh(k,1) = dble(2 * k - 3) * sh(k-1,1) / dble(k - 1)
jj = 2
do 30 l = 2,k
sh(k,l) = sh(k,l-1) * dsqrt(dble((k - l + 1) * jj)
> / (k + l - 2))
jj = 1
30 continue
40 continue
c
ntot = 0
do 60 k = 2, kmax
c
gg(k,1) = dble(lg(ntot+1))
ggt(k,1) = dble(lgt(ntot+1))
c
nm = 2 * k - 1
do 50 l = 2, k
inc = 2 * l - 2
gg(k,l) = dble(lg(ntot+inc))
ggt(k,l) = dble(lgt(ntot+inc))
hh(k,l) = dble(lg(ntot+inc+1))
hht(k,l) = dble(lgt(ntot+inc+1))
50 continue
c
ntot = ntot + nm
60 continue
c
do 80 k = 2, kmax
gg(k,1) = gg(k,1) * sh(k,1) / f1
ggt(k,1) = ggt(k,1) * sh(k,1) / f2
do 70 l = 2, k
gg(k,l) = gg(k,l) * sh(k,l) / f1
ggt(k,l) = ggt(k,l) * sh(k,l) / f2
hh(k,l) = hh(k,l) * sh(k,l) / f1
hht(k,l) = hht(k,l) * sh(k,l) / f2
70 continue
80 continue
endif
c
if (year .ne. tmold) then
tmold = year
t = year - tzero
do 100 k = 2, kmax
g(k,1) = gg(k,1) + t * ggt(k,1)
do 90 l = 2,k
g(k,l) = gg(k,l) + t * ggt(k,l)
h(k,l) = hh(k,l) + t * hht(k,l)
90 continue
c
100 continue
c
endif
c
cph = dcos(phir)
sph = dsin(phir)
c
if (thetr .ne. 0.d0) then
ct = dcos(thetr)
st = dsin(thetr)
else
ct = 1.0d0
st = 1.d-15
endif
sp(2) = sph
cp(2) = cph
c
do 110 k = 3, kmax
c
sp(k) = sp(2) * cp(k-1) + cp(2) * sp(k-1)
cp(k) = cp(2) * cp(k-1) - sp(2) * sp(k-1)
c
110 continue
rrmag = rre * rayt / rgmt
aor = 1.d0 / rrmag
ar = aor * aor * aor
p(2,1) = ct
dp(2,1) = -st
p(2,2) = st
dp(2,2) = ct
c
br = -(2.d0 * ar) * (g(2,1) * p(2,1) + p(2,2)
> * (g(2,2) * cp(2) + h(2,2) * sp(2)))
bt = ar * (g(2,1) * dp(2,1) + dp(2,2) * (g(2,2)
> * cp(2) + h(2,2) * sp(2)))
bp = ar * (h(2,2) * cp(2) - g(2,2) * sp(2)) * p(2,2)
c
do 130 k = 3, kmax
c
ar = aor * ar
c
do 120 l = 1, k
c
if (k .eq. l) then
p(k,k) = st * p(k-1,k-1)
dp(k,k) = st * dp(k-1,k-1) + ct * p(k-1,k-1)
else
p(k,l) = ct * p(k-1,l) - const(k,l) * p(k-2,l)
dp(k,l) = ct * dp(k-1,l) - st * p(k-1,l) - const(k,l)
> * dp(k-2,l)
endif
c
par = p(k,l) * ar
c
if (l .eq. 1) then
temp = g(k,l)
else
temp = g(k,l) * cp(l) + h(k,l) * sp(l)
bp = bp - (g(k,l) * sp(l) - h(k,l) *
> cp(l)) * fm(l) * par
endif
br = br - temp * fn(k) * par
bt = bt + temp * dp(k,l) * ar
c
120 continue
c
130 continue
c
bp = bp / st
c
c ---------------------------------------
c*FON Expression du champ magnetique en gauss
c ---------------------------------------
c
br = br / 100000.d0
bt = bt / 100000.d0
bp = bp / 100000.d0
c
bb = dsqrt(br * br + bt * bt + bp * bp)
c
c ****************
c Fin de programme
c ****************
c
return
end