chp10.f 9.9 KB
      subroutine chp10 (year,rre,thetr,phir,br,bt,bp,bb,ier)
c*
c***********************************************************************
c*
c*PRO MAGLIB
c*
c*VER 10.09.10 - V 1.0
c*VER 17.02.22 - V 1.0
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 2010.
c*
c*PAR year  (I) : annee fractionnaire (>= 2010.)
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 - 10.09.10 - Coefficients de Schmidt et
c*                             variations seculaires provisoires 2010
c*HST version 2.0 - 17.02.22 - Coefficients de Schmidt  définitifset
c*                             variations seculaires interpolées 2010
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 2010
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 et lgt
c     Revision février 2017 - coefficients lg et lgt
c
      data lg/
     > -2949657,-158642,494426,-239606,302634,-270854,166817,-57573,
     > 133985,-232654,-16040,123210,25175,
     >  63373,-53703,91266,80897,28648,16658,-21103,-35683,16446,8940,
     > -30972,-23087,35729,4458,
     >  20026,18901,-14105,-11806,-16317,-1,-803,10104,7278,6869,
     > -2090,7592,4418,-14140,
     >  6154,-2283,-6626,1310,302,-7809,5540,8044,-7500,-5780,-455,
     > -2120,4524,654,
     >  1400,2496,1046,703,164,-2761,492,-328,2441,821,1084,-1450,
     > -2003,-559,
     >  1183,-1934,-1741,1161,1671,1085,696,-1405,-1074,-354,164,550,
     >  945,-2054,
     >  345,1151,-527,1275,313,-714,-1238,-742,-76,797,843,214,-842,
     > -608,
     > -1008,701,-194,-624,273,89,-10,-107,471,-16,444,245,-722,-33,
     > -96,213,-395,309,-199,-103,-197,-280,-831,305,-148,13,-203,167,
     >  165,-66,-51,-176,54,85,-79,-39,37,-251,179,-127,12,-211,
     >  75,-194,375,-186,-212,-21,-87,30,27,104,213,-63,-249,95,
     >  49,-11,59,52,0,-39,13,-37,27,21,-86,-77,-23,4,
     >  87,-9,-89,-87,31,30,42,166,-45,-59,108,-114,-31,-7,
     >  78,54,-18,10,38,49,2,44,42,-25,-26,-53,-26,-79
     > /
c
       data lgt/
     >  10914,17084,-29432,-9808,-2688,-27412,1706,-13234,2170,-5152,
     >  9020,-1300,-1370,
     > -10346,-274,-1012,946,-636,-9236,4466,4386,3288,-3800,-3956,
     > -346,562,544,
     > -1572,1598,30,-248,1134,3202,2426,-168,-556,-198,20,-644,-2196,
     > 2300,
     > -528,-1214,-88,20,856,1438,1440,232,-220,740,-450,340,1312,
     > -168,
     >  200,-112,-212,-726,-888,42,376,216,-42,118,-148,-480,346,478,
     >  294,-252,562,358,-102,170,-252,-370,328,308,92,-20,-130,-212,
     > -70,-142,394,-190,-486,68,-184,104,132,-34,54,-228,-136,416,
     > -84,278,8,-12,94,-158,-60,314,-22,-68,-8,-130,-136,-74,
     >  72,-6,-50,-138,-162,-154,154,-160,-78,10,-4,-46,-54,66,
     >  70,-8,-58,132,12,-10,18,38,-34,62,-18,-26,-64,-78,
     > -70,-12,-50,-108,44,2,-46,20,26,32,-46,-34,58,-10,
     > -38,42,22,-4,-20,18,34,-6,-14,-2,-8,-26,26,-8,
     > -34,18,-2,-6,18,20,16,-12,-10,18,-16,-12,22,-6,
     >   4,-28,16,-40,-16,-18,16,12,16,-10,-28,26,-8,-2
     > /
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 /2010.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