subroutine dgrf15 (year,rre,thet,phi,br,bt,bp,bb,ier) c* c*********************************************************************** c* c* "Copyright [c] CNES 98 - tous droits reserves" c* ********************************************** c* c*PRO MAGLIB c* c*VER 17.02.23 - V 1.0 c*VER 20.07.07 - V 2.0 c* c*AUT spec. CNES - JC KOSIK - fevrier 2001 c*AUT port. AKKA c* c*ROL Calcul du champ magnetique d'origine interne avec les c*ROL coefficients definitifs du modele IGRF-13. c* c*PAR year (I) : annee fractionnaire (>= 2015.) c* c*PAR rre (I) : distance radiale geocentrique (rayons terrestres) c*PAR thet (I) : colatitude geocentrique (radians) c*PAR phi (I) : longitude geocentrique (radians) c* c*PAR br (O) : composante radiale du champ magnetique le long du c* : meridien positive vers l'exterieur (gauss) c*PAR bt (O) : composante tangentielle du champ magnetique le long c*PAR : du meridien positive vers le sud (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 Dans le cas ou l'angle thet est nul, son sinus est c*NOT remplacee par 1.d-15 afin d'eviter des divisions par 0 et c*NOT son cosinus est remplace par 1.0d0. c*NOT Dans le cas ou l'angle thet est egal a pi, son sinus est c*NOT remplacee par 1.d-15 afin d'eviter des divisions par 0 et c*NOT son cosinus est remplace par -1.0d0. c* c*NOT common : util, util2 c* c*INF utilise : sans objet c* c*HST version 1.0 - 17.02.23 - Coefficients de Schmidt et variations c*HST seculaires provisoires 2015 c*HST version 2.0 - 20.07.07 - Coefficients de Schmidt definitifs c*HST variations seculaires interpolées 2020 c* 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, thet, phi double precision 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(14,14),lgt(14,14) c*LOC lg, lgt : coefficients du modele igrf 2015 c integer kmax c*LOC kmax : nombre de pas de calcul (= 14) c integer n,m,jj c*LOC n,m,jj : indices de boucles et de tableaux c double precision gg(14,14),ggt(14,14) double precision shmit(14,14) double precision g(14,14) double precision const(14,14),fn(14),fm(14) double precision p(14,14),dp(14,14),sp(14),cp(14) double precision tmold,tzero,sph,st,t,temp,par,f2 double precision cph,ct,f1,aor,ar,rrmag 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 février 2017- coefficients lg et lgt c data lg/100, > -2944146,-244588,135033,90742,-23291,6955,8129,2398,533,-201,300, > -209,-2, > 479599,-150177,301220,-235226,81368,36014,6757,-7599,889,883, > -626,-140,-16,-92, > -284541,-64217,167635,122585,12049,19235,7279,-679,-1678,302,17, > -230,46,42, > -11529,24504,-53870,58169,-33485,-14094,-12985,5182,-316,-322,55, > 208,123,63, > 28354,-18843,18095,-32923,7038,-15740,-2893,1507,-2056,67,-55, > -79,-89,-42, > 4698,19698,-11914,1598,10012,430,1314,932,1333,-1320,170,58,85, > 96, > -2061,3330,5874,-6664,735,6241,-7085,-288,1176,-10,-67,-70,10, > -19, > -5427,-1953,559,2445,327,-2750,-232,661,-1598,868,213,14,54,81, > 1004,-1826,1318,-1460,1616,569,-910,226,-202,-906,233,170,-37, > -13, > -2177,1076,1174,-674,-688,779,104,-389,844,-1054,-180,-22,-43,38, > 328,-40,455,440,-792,-61,-416,-285,-112,-872,-359,44,22,8, > 0,211,-60,-105,76,-20,-212,-144,-257,-201,-234,349,-94,46, > -108,37,175,-219,27,72,-9,29,23,-89,-16,72,-3,-35, > -88,49,156,-50,-124,-10,42,-4,48,48,-30,-43,-71,-36 > / c data lgt/1000, > 7332,-10744,2574,-884,-278,-710,-138,-56,-66,22,0,18,24, > -28698,10174,-6040,-5788,-836,612,-414,-142,162,-86,12,0,12,4, > -29238,-18486,130,2070,-6838,-910,22,-282,-164,-24,-54,-40,8,16, > 6638,-628,-940,-11198,5090,48,1670,936,532,344,230,44,14,14, > -328,6006,3750,-4094,-4476,1240,-1454,146,-108,-354,-70,-22,-62, > 24, > 144,2264,-412,3264,-244,1840,72,-584,394,0,-200,-56,-30,-32, > 302,-1640,-1188,428,310,1138,1230,-864,388,240,-46,0,40,38, > 554,526,-678,-190,-1094,60,104,638,-104,24,-46,-48,-8,-2, > -328,592,-76,580,-252,-418,440,108,344,-48,-186,-60,14,26, > -326,48,-388,328,116,2,-128,498,232,-272,-120,-76,-14,4, > 24,40,-190,80,-136,102,-28,-110,204,-16,-42,-48,-24,4, > 0,78,0,130,-32,0,84,-32,-86,2,-52,-78,-32,8, > -24,26,-70,78,-34,16,-22,62,-6,-2,32,-44,-54,-30, > -4,22,-32,20,-12,0,-24,-12,4,4,-20,6,22,-8 > / c data f1 /10.d0/, f2 /10.d0/ c data kmax /14/ c data p(1,1) /1.d0/ data cp(1) /1.d0/ data dp(1,1) /0.d0/ data sp(1) /0.d0/ c data shmit(1,1) /0.d0/ c data tmold /0.d0/ c data tzero /2015.d0/ c c ****************** c Debut de programme c ****************** c ier = 0 c c --------------------------------------------------------------- c*FON Initialisation a 0 des composantes du champ ainsi que du module c --------------------------------------------------------------- c br = 0.0d0 bt = 0.0d0 bp = 0.0d0 bb = 0.0d0 c c -------------------------------------------------- c*FON Initialisations faites au premier appel du module c -------------------------------------------------- c if (shmit(1,1) .ne. -1.d0) then c c ---------------------------------- c*FON Calcul des tableaux fn,fm et const c ---------------------------------- c shmit(1,1) = -1.d0 do 10 n = 1, 14 fn(n) = n do 20 m = 1, 14 fm(m) = m - 1 const(n,m) = dble((n - 2)**2 - (m - 1)**2) / > dble((2 * n - 3) * (2 * n - 5)) 20 continue 10 continue c c ---------------------------- c*FON Calcul du tableau shmit(n,m) c ---------------------------- c do 30 n = 2, 14 shmit(n,1) = dble(2 * n - 3) * shmit(n-1,1) / dble(n - 1) jj = 2 do 40 m = 2, n shmit(n,m) = shmit(n,m-1) * > sqrt(dble((n - m + 1) * jj) / (n + m - 2)) shmit(m-1,n) = shmit(n,m) jj = 1 40 continue 30 continue c c --------------------------------------- c*FON Calcul des tableaux gg(n,m) et ggt(n,m) c --------------------------------------- c f1 = dble(lg(1,1)) f2 = dble(lgt(1,1)) do 50 n = 1, kmax do 60 m = 1, kmax gg(n,m) = dble(lg(n,m)) * shmit(n,m) / f1 ggt(n,m) = dble(lgt(n,m)) * shmit(n,m) / f2 60 continue 50 continue c c -------------------------------------------------- c*FON Traitements effectues si ce n'est pas le 1er appel c -------------------------------------------------- c endif c c ------------------------ c*FON Calcul du tableau g(n,m) c ------------------------ c if (year .ne. tmold) then c tmold = year t = year - tzero c do 70 n = 1, kmax do 80 m= 1, kmax g(n,m) = gg(n,m) + t * ggt(n,m) 80 continue 70 continue c endif c c ---------------------------------------------------- c*FON Calcul des cosinus directeurs de la colatitude et de c*FON la longitude geocentriques c ---------------------------------------------------- c cph = cos(phi) sph = sin(phi) c if (thet .ne. 0.0d0 .and. thet .ne. acos(-1.0d0)) then c ct = cos(thet) st = sin(thet) c else c if (thet .ne. acos(-1.0d0)) then ct = 1.0d0 st = 1.d-15 elseif (thet .ne. 0.0d0) then ct = -1.0d0 st = 1.d-15 endif c endif c sp(2) = sph cp(2) = cph c c ---------------------------- c*FON Calcul des tableaux cp et sp c ---------------------------- c do 90 m = 3, kmax sp(m) = sp(2) * cp(m-1) + cp(2) * sp(m-1) cp(m) = cp(2) * cp(m-1) - sp(2) * sp(m-1) 90 continue c c --------------------------------------------------- c*FON Premiers termes des composantes du champ magnetique c --------------------------------------------------- c rrmag = rre * rayt / rgmt aor = 1.d0 / rrmag ar = aor * aor * aor c p(2,1) = ct dp(2,1) = -st p(2,2) = st dp(2,2) = ct c br = - (ar + ar) * (g(2,1) * p(2,1) + p(2,2) * (g(2,2) * cp(2) + > g(1,2) * sp(2))) bt = ar * (g(2,1) * dp(2,1) + dp(2,2) * (g(2,2) * cp(2) + > g(1,2) * sp(2))) bp = ar * (g(1,2) * cp(2) - g(2,2) * sp(2)) * p(2,2) c c ----------------------------------------------------- c*FON Evaluation finale des composantes du champ magnetique c ----------------------------------------------------- c do 100 n = 3, kmax ar = aor * ar do 110 m = 1, n c if (m .eq. n) then p(n,n) = st * p(n-1,n-1) dp(n,n) = st * dp(n-1,n-1) + ct * p(n-1,n-1) else if (const(n,m) .eq. 0) then p(n,m) = ct * p(n-1,m) dp(n,m) = ct * dp(n-1,m) - st * p(n-1,m) else p(n,m) = ct * p(n-1,m) - const(n,m) * p(n-2,m) dp(n,m) = ct * dp(n-1,m) - st * p(n-1,m) > - const(n,m) * dp(n-2,m) endif endif c par = p(n,m) * ar c if (m .eq. 1) then temp = g(n,m) else temp = g(n,m) * cp(m) + g(m-1,n) * sp(m) bp = bp - (g(n,m) * sp(m) - g(m-1,n) * cp(m)) * > fm(m) * par endif c br = br - temp * fn(n) * par bt = bt + temp * dp(n,m) * ar c 110 continue c 100 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 = sqrt(bp * bp + bt * bt + br * br) c c **************** c Fin de programme c **************** c return end