subroutine chp15 (year,rre,thetr,phir,br,bt,bp,bb,ier) c* 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 Theme : Modeles de champs magnetiques c*ROL Calcul des composantes du champ magnetique apres 2015. c* c*PAR year (I) : annee fractionnaire (>= 2015.) 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 1.0 - 17.02.23 - Coefficients de Schmidt et c* variations seculaires provisoires 2015 c*HST version 2.0 - 20.07.07 - Coefficients de Schmidt définitifs c* variations seculaires interpolées 2015 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,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 : coeeficients apres l'an 2015 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 février 2017 - coefficients lg et lgt c Revision juillet 2020 - coefficients lg et lgt c data lg/ > -2944146,-150177,479599,-244588,301220,-284541,167635,-64217, > 135033,-235226,-11529,122585,24504, > 58169,-53870,90742,81368,28354,12049,-18843,-33485,18095,7038, > -32923,-23291,36014,4698, > 19235,19698,-14094,-11914,-15740,1598,430,10012,6955,6757,-2061, > 7279,3330,-12985, > 5874,-2893,-6664,1314,735,-7085,6241,8129,-7599,-5427,-679, > -1953,5182,559, > 1507,2445,932,327,-288,-2750,661,-232,2398,889,1004,-1678,-1826, > -316, > 1318,-2056,-1460,1333,1616,1176,569,-1598,-910,-202,226,533,883, > -2177, > 302,1076,-322,1174,67,-674,-1320,-688,-10,779,868,104,-906,-389, > -1054,844,-201,-626,328,17,-40,55,455,-55,440,170,-792,-67, > -61,213,-416,233,-285,-180,-112,-359,-872,300,-140,0,-230,211, > 208,-60,-79,-105,58,76,-70,-20,14,-212,170,-144,-22,-257, > 44,-201,349,-234,-209,-16,-108,46,37,123,175,-89,-219,85, > 27,10,72,54,-9,-37,29,-43,23,22,-89,-94,-16,-3, > 72,-2,-92,-88,42,49,63,156,-42,-50,96,-124,-19,-10, > 81,42,-13,-4,38,48,8,48,46,-30,-35,-43,-36,-71 > / c data lgt/ > 7332,10174,-28698,-10744,-6040,-29238,130,-18486,2574,-5788, > 6638,2070,-628, > -11198,-940,-884,-836,-328,-6838,6006,5090,3750,-4476,-4094,-278, > 612,144, > -910,2264,48,-412,1240,3264,1840,-244,-710,-414,302,22,-1640, > 1670, > -1188,-1454,428,72,310,1230,1138,-138,-142,554,-282,526,936,-678, > 146,-190,-584,-1094,-864,60,638,104,-56,162,-328,-164,592,532, > -76,-108,580,394,-252,388,-418,-104,440,344,108,-66,-86,-326, > -24,48,344,-388,-354,328,0,116,240,2,24,-128,-48,498, > -272,232,22,12,24,-54,40,230,-190,-70,80,-200,-136,-46, > 102,-46,-28,-186,-110,-120,204,-42,-16,0,0,0,-40,78, > 44,0,-22,130,-56,-32,0,0,-48,84,-60,-32,-76,-86, > -48,2,-78,-52,18,12,-24,8,26,14,-70,-62,78,-30, > -34,40,16,-8,-22,14,62,-14,-6,-24,-2,-32,32,-54, > -44,24,4,-4,16,22,14,-32,24,20,-32,-12,38,0, > -2,-24,26,-12,4,4,4,4,8,-20,-30,6,-8,22 > / 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 /2015.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