1 /*%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
5 (incorporated into C++ JSBSim class heirarchy, see model authors below)
7 Purpose: Models the MSIS-00 atmosphere
9 ------------- Copyright (C) 2003 David P. Culp (davidculp2@comcast.net) ------
11 This program is free software; you can redistribute it and/or modify it under
12 the terms of the GNU Lesser General Public License as published by the Free Software
13 Foundation; either version 2 of the License, or (at your option) any later
16 This program is distributed in the hope that it will be useful, but WITHOUT
17 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
18 FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more
21 You should have received a copy of the GNU Lesser General Public License along with
22 this program; if not, write to the Free Software Foundation, Inc., 59 Temple
23 Place - Suite 330, Boston, MA 02111-1307, USA.
25 Further information about the GNU Lesser General Public License can also be found on
26 the world wide web at http://www.gnu.org.
28 FUNCTIONAL DESCRIPTION
29 --------------------------------------------------------------------------------
30 Models the MSIS-00 atmosphere. Provides temperature and density to FGAtmosphere,
31 given day-of-year, time-of-day, altitude, latitude, longitude and local time.
34 --------------------------------------------------------------------------------
36 01/11/04 DPC Derived from FGAtmosphere
38 --------------------------------------------------------------------
39 --------- N R L M S I S E - 0 0 M O D E L 2 0 0 1 ----------
40 --------------------------------------------------------------------
42 This file is part of the NRLMSISE-00 C source code package - release
45 The NRLMSISE-00 model was developed by Mike Picone, Alan Hedin, and
46 Doug Drob. They also wrote a NRLMSISE-00 distribution package in
47 FORTRAN which is available at
48 http://uap-www.nrl.navy.mil/models_web/msis/msis_home.htm
50 Dominik Brodowski implemented and maintains this C version. You can
51 reach him at devel@brodo.de. See the file "DOCUMENTATION" for details,
52 and check http://www.brodo.de/english/pub/nrlmsise/index.html for
53 updated releases of this package.
56 /*%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
58 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%*/
62 #include <math.h> /* maths functions */
63 #include <stdlib.h> /* for malloc/free */
64 #include <stdio.h> /* for printf */
65 #include <iostream> // for cout, endl
69 static const char *IdSrc = "$Id$";
70 static const char *IdHdr = ID_MSIS;
72 /*%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
74 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%*/
77 extern double pt[150];
78 extern double pd[9][150];
79 extern double ps[150];
80 extern double pdl[2][25];
81 extern double ptl[4][100];
82 extern double pma[10][100];
83 extern double sam[100];
86 extern double ptm[10];
87 extern double pdm[8][10];
88 extern double pavgm[10];
90 /*%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
92 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%*/
95 MSIS::MSIS(FGFDMExec* fdmex) : FGAtmosphere(fdmex)
102 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
109 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
111 bool MSIS::InitModel(void)
113 FGModel::InitModel();
117 flags.switches[0] = 0;
118 for (i=1;i<24;i++) flags.switches[i] = 1;
120 for (i=0;i<7;i++) aph.a[i] = 100.0;
122 // set some common magnetic flux values
127 SLtemperature = intTemperature = 518.0;
128 SLpressure = intPressure = 2116.7;
129 SLdensity = intDensity = 0.002378;
130 SLsoundspeed = sqrt(2403.0832 * SLtemperature);
131 rSLtemperature = 1.0/intTemperature;
132 rSLpressure = 1.0/intPressure;
133 rSLdensity = 1.0/intDensity;
134 rSLsoundspeed = 1.0/SLsoundspeed;
135 temperature = &intTemperature;
136 pressure = &intPressure;
137 density = &intDensity;
144 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
148 if (FGModel::Run()) return true;
149 if (FDMExec->Holding()) return false;
151 //do temp, pressure, and density first
153 // get sea-level values
154 Calculate(Auxiliary->GetDayOfYear(),
155 Auxiliary->GetSecondsInDay(),
157 Propagate->GetLocation().GetLatitudeDeg(),
158 Propagate->GetLocation().GetLongitudeDeg());
159 SLtemperature = output.t[1] * 1.8;
160 SLdensity = output.d[5] * 1.940321;
161 SLpressure = 1716.488 * SLdensity * SLtemperature;
162 SLsoundspeed = sqrt(2403.0832 * SLtemperature);
163 rSLtemperature = 1.0/SLtemperature;
164 rSLpressure = 1.0/SLpressure;
165 rSLdensity = 1.0/SLdensity;
166 rSLsoundspeed = 1.0/SLsoundspeed;
168 // get at-altitude values
169 Calculate(Auxiliary->GetDayOfYear(),
170 Auxiliary->GetSecondsInDay(),
171 Propagate->GetAltitudeASL(),
172 Propagate->GetLocation().GetLatitudeDeg(),
173 Propagate->GetLocation().GetLongitudeDeg());
174 intTemperature = output.t[1] * 1.8;
175 intDensity = output.d[5] * 1.940321;
176 intPressure = 1716.488 * intDensity * intTemperature;
177 //cout << "T=" << intTemperature << " D=" << intDensity << " P=";
178 //cout << intPressure << " a=" << soundspeed << endl;
188 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
190 void MSIS::Calculate(int day, double sec, double alt, double lat, double lon)
195 input.alt = alt / 3281; //feet to kilometers
199 input.lst = (sec/3600) + (lon/15);
200 if (input.lst > 24.0) input.lst -= 24.0;
201 if (input.lst < 0.0) input.lst = 24 - input.lst;
203 gtd7d(&input, &flags, &output);
206 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
209 void MSIS::UseExternal(void){
210 // do nothing, external control not allowed
214 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
217 void MSIS::tselec(struct nrlmsise_flags *flags)
222 if (flags->switches[i]==1)
226 if (flags->switches[i]>0)
231 flags->sw[i]=flags->switches[i];
232 flags->swc[i]=flags->switches[i];
238 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
240 void MSIS::glatf(double lat, double *gv, double *reff)
242 double dgtr = 1.74533E-2;
244 c2 = cos(2.0*dgtr*lat);
245 *gv = 980.616 * (1.0 - 0.0026373 * c2);
246 *reff = 2.0 * (*gv) / (3.085462E-6 + 2.27E-9 * c2) * 1.0E-5;
249 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
251 double MSIS::ccor(double alt, double r, double h1, double zh)
253 /* CHEMISTRY/DISSOCIATION CORRECTION FOR MSIS MODELS
256 * H1 - transition scale length
257 * ZH - altitude of 1/2 R
271 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
273 double MSIS::ccor2(double alt, double r, double h1, double zh, double h2)
275 /* CHEMISTRY/DISSOCIATION CORRECTION FOR MSIS MODELS
278 * H1 - transition scale length
279 * ZH - altitude of 1/2 R
280 * H2 - transition scale length #2 ?
285 e1 = (alt - zh) / h1;
286 e2 = (alt - zh) / h2;
287 if ((e1 > 70) || (e2 > 70))
289 if ((e1 < -70) && (e2 < -70))
293 ccor2v = r / (1.0 + 0.5 * (ex1 + ex2));
297 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
299 double MSIS::scalh(double alt, double xm, double temp)
303 g = gsurf / (pow((1.0 + alt/re),2.0));
304 g = rgas * temp / (g * xm);
308 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
310 double MSIS::dnet (double dd, double dm, double zhm, double xmm, double xm)
312 /* TURBOPAUSE CORRECTION FOR MSIS MODELS
314 * DD - diffusive density
315 * DM - full mixed density
316 * ZHM - transition scale length
317 * XMM - full mixed molecular weight
318 * XM - species molecular weight
319 * DNET - combined density
324 if (!((dm>0) && (dd>0))) {
325 printf("dnet log error %e %e %e\n",dm,dd,xm);
326 if ((dd==0) && (dm==0))
333 ylog = a * log(dm/dd);
338 a = dd*pow((1.0 + exp(ylog)),(1.0/a));
342 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
344 void MSIS::splini (double *xa, double *ya, double *y2a, int n, double x, double *y)
346 /* INTEGRATE CUBIC SPLINE FUNCTION FROM XA(1) TO X
347 * XA,YA: ARRAYS OF TABULATED FUNCTION IN ASCENDING ORDER BY X
348 * Y2A: ARRAY OF SECOND DERIVATIVES
349 * N: SIZE OF ARRAYS XA,YA,Y2A
350 * X: ABSCISSA ENDPOINT FOR INTEGRATION
356 double xx, h, a, b, a2, b2;
357 while ((x>xa[klo]) && (khi<n)) {
365 h = xa[khi] - xa[klo];
366 a = (xa[khi] - xx)/h;
367 b = (xx - xa[klo])/h;
370 yi += ((1.0 - a2) * ya[klo] / 2.0 + b2 * ya[khi] / 2.0 + ((-(1.0+a2*a2)/4.0 + a2/2.0) * y2a[klo] + (b2*b2/4.0 - b2/2.0) * y2a[khi]) * h * h / 6.0) * h;
377 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
379 void MSIS::splint (double *xa, double *ya, double *y2a, int n, double x, double *y)
381 /* CALCULATE CUBIC SPLINE INTERP VALUE
382 * ADAPTED FROM NUMERICAL RECIPES BY PRESS ET AL.
383 * XA,YA: ARRAYS OF TABULATED FUNCTION IN ASCENDING ORDER BY X
384 * Y2A: ARRAY OF SECOND DERIVATIVES
385 * N: SIZE OF ARRAYS XA,YA,Y2A
386 * X: ABSCISSA FOR INTERPOLATION
394 while ((khi-klo)>1) {
401 h = xa[khi] - xa[klo];
403 printf("bad XA input to splint");
406 yi = a * ya[klo] + b * ya[khi] + ((a*a*a - a) * y2a[klo] + (b*b*b - b) * y2a[khi]) * h * h/6.0;
410 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
412 void MSIS::spline (double *x, double *y, int n, double yp1, double ypn, double *y2)
414 /* CALCULATE 2ND DERIVATIVES OF CUBIC SPLINE INTERP FUNCTION
415 * ADAPTED FROM NUMERICAL RECIPES BY PRESS ET AL
416 * X,Y: ARRAYS OF TABULATED FUNCTION IN ASCENDING ORDER BY X
417 * N: SIZE OF ARRAYS X,Y
418 * YP1,YPN: SPECIFIED DERIVATIVES AT X[0] AND X[N-1]; VALUES
419 * >= 1E30 SIGNAL SIGNAL SECOND DERIVATIVE ZERO
420 * Y2: OUTPUT ARRAY OF SECOND DERIVATIVES
423 double sig, p, qn, un;
425 u=(double*)malloc(sizeof(double)*n);
427 printf("Out Of Memory in spline - ERROR");
435 u[0]=(3.0/(x[1]-x[0]))*((y[1]-y[0])/(x[1]-x[0])-yp1);
437 for (i=1;i<(n-1);i++) {
438 sig = (x[i]-x[i-1])/(x[i+1] - x[i-1]);
439 p = sig * y2[i-1] + 2.0;
440 y2[i] = (sig - 1.0) / p;
441 u[i] = (6.0 * ((y[i+1] - y[i])/(x[i+1] - x[i]) -(y[i] - y[i-1]) / (x[i] - x[i-1]))/(x[i+1] - x[i-1]) - sig * u[i-1])/p;
448 un = (3.0 / (x[n-1] - x[n-2])) * (ypn - (y[n-1] - y[n-2])/(x[n-1] - x[n-2]));
450 y2[n-1] = (un - qn * u[n-2]) / (qn * y2[n-2] + 1.0);
452 y2[k] = y2[k] * y2[k+1] + u[k];
457 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
459 double MSIS::zeta(double zz, double zl)
461 return ((zz-zl)*(re+zl)/(re+zz));
464 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
466 double MSIS::densm(double alt, double d0, double xm, double *tz, int mn3,
467 double *zn3, double *tn3, double *tgn3, int mn2, double *zn2,
468 double *tn2, double *tgn2)
470 /* Calculate Temperature and Density Profiles for lower atmos. */
471 double xs[10], ys[10], y2out[10];
473 double z, z1, z2, t1, t2, zg, zgdif;
476 double expl, gamm, glb;
488 /* STRATOSPHERE/MESOSPHERE TEMPERATURE */
499 zgdif = zeta(z2, z1);
501 /* set up spline nodes */
503 xs[k]=zeta(zn2[k],z1)/zgdif;
506 yd1=-tgn2[0] / (t1*t1) * zgdif;
507 yd2=-tgn2[1] / (t2*t2) * zgdif * (pow(((re+z2)/(re+z1)),2.0));
509 /* calculate spline coefficients */
510 spline (xs, ys, mn, yd1, yd2, y2out);
512 splint (xs, ys, y2out, mn, x, &y);
514 /* temperature at altitude */
517 /* calaculate stratosphere / mesospehere density */
518 glb = gsurf / (pow((1.0 + z1/re),2.0));
519 gamm = xm * glb * zgdif / rgas;
521 /* Integrate temperature profile */
522 splini(xs, ys, y2out, mn, x, &yi);
527 /* Density at altitude */
528 densm_tmp = densm_tmp * (t1 / *tz) * exp(-expl);
538 /* troposhere / stratosphere temperature */
548 /* set up spline nodes */
550 xs[k] = zeta(zn3[k],z1) / zgdif;
551 ys[k] = 1.0 / tn3[k];
553 yd1=-tgn3[0] / (t1*t1) * zgdif;
554 yd2=-tgn3[1] / (t2*t2) * zgdif * (pow(((re+z2)/(re+z1)),2.0));
556 /* calculate spline coefficients */
557 spline (xs, ys, mn, yd1, yd2, y2out);
559 splint (xs, ys, y2out, mn, x, &y);
561 /* temperature at altitude */
564 /* calaculate tropospheric / stratosphere density */
565 glb = gsurf / (pow((1.0 + z1/re),2.0));
566 gamm = xm * glb * zgdif / rgas;
568 /* Integrate temperature profile */
569 splini(xs, ys, y2out, mn, x, &yi);
574 /* Density at altitude */
575 densm_tmp = densm_tmp * (t1 / *tz) * exp(-expl);
583 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
585 double MSIS::densu(double alt, double dlb, double tinf, double tlb, double xm,
586 double alpha, double *tz, double zlb, double s2, int mn1,
587 double *zn1, double *tn1, double *tgn1)
589 /* Calculate Temperature and Density Profiles for MSIS models
590 * New lower thermo polynomial
592 double yd2, yd1, x=0.0, y=0.0;
594 double densu_temp=1.0;
595 double za, z, zg2, tt, ta=0.0;
596 double dta, z1=0.0, z2, t1=0.0, t2, zg, zgdif=0.0;
604 double xs[5], ys[5], y2out[5];
605 /* joining altitudes of Bates and spline */
612 /* geopotential altitude difference from ZLB */
615 /* Bates temperature */
616 tt = tinf - (tinf - tlb) * exp(-s2*zg2);
622 /* calculate temperature below ZA
623 * temperature gradient at ZA from Bates profile */
624 dta = (tinf - ta) * s2 * pow(((re+zlb)/(re+za)),2.0);
636 /* geopotental difference from z1 */
638 zgdif = zeta(z2, z1);
639 /* set up spline nodes */
641 xs[k] = zeta(zn1[k], z1) / zgdif;
642 ys[k] = 1.0 / tn1[k];
644 /* end node derivatives */
645 yd1 = -tgn1[0] / (t1*t1) * zgdif;
646 yd2 = -tgn1[1] / (t2*t2) * zgdif * pow(((re+z2)/(re+z1)),2.0);
647 /* calculate spline coefficients */
648 spline (xs, ys, mn, yd1, yd2, y2out);
650 splint (xs, ys, y2out, mn, x, &y);
651 /* temperature at altitude */
658 /* calculate density above za */
659 glb = gsurf / pow((1.0 + zlb/re),2.0);
660 gamma = xm * glb / (s2 * rgas * tinf);
661 expl = exp(-s2 * gamma * zg2);
667 /* density at altitude */
668 densa = dlb * pow((tlb/tt),((1.0+alpha+gamma))) * expl;
673 /* calculate density below za */
674 glb = gsurf / pow((1.0 + z1/re),2.0);
675 gamm = xm * glb * zgdif / rgas;
677 /* integrate spline temperatures */
678 splini (xs, ys, y2out, mn, x, &yi);
685 /* density at altitude */
686 densu_temp = densu_temp * pow ((t1 / *tz),(1.0 + alpha)) * exp(-expl);
690 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
692 /* 3hr Magnetic activity functions */
694 double MSIS::g0(double a, double *p)
696 return (a - 4.0 + (p[25] - 1.0) * (a - 4.0 + (exp(-sqrt(p[24]*p[24]) *
697 (a - 4.0)) - 1.0) / sqrt(p[24]*p[24])));
700 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
703 double MSIS::sumex(double ex)
705 return (1.0 + (1.0 - pow(ex,19.0)) / (1.0 - ex) * pow(ex,0.5));
708 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
711 double MSIS::sg0(double ex, double *p, double *ap)
713 return (g0(ap[1],p) + (g0(ap[2],p)*ex + g0(ap[3],p)*ex*ex +
714 g0(ap[4],p)*pow(ex,3.0) + (g0(ap[5],p)*pow(ex,4.0) +
715 g0(ap[6],p)*pow(ex,12.0))*(1.0-pow(ex,8.0))/(1.0-ex)))/sumex(ex);
718 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
720 double MSIS::globe7(double *p, struct nrlmsise_input *input,
721 struct nrlmsise_flags *flags)
723 /* CALCULATE G(L) FUNCTION
724 * Upper Thermosphere Parameters */
731 double c, s, c2, c4, s2;
732 double sr = 7.2722E-5;
733 double dgtr = 1.74533E-2;
734 double dr = 1.72142E-2;
736 double cd32, cd18, cd14, cd39;
737 double p32, p18, p14, p39;
748 else if (flags->sw[9]<0)
750 xlong = input->g_long;
752 /* calculate legendre polynomials */
753 c = sin(input->g_lat * dgtr);
754 s = cos(input->g_lat * dgtr);
760 plg[0][2] = 0.5*(3.0*c2 -1.0);
761 plg[0][3] = 0.5*(5.0*c*c2-3.0*c);
762 plg[0][4] = (35.0*c4 - 30.0*c2 + 3.0)/8.0;
763 plg[0][5] = (63.0*c2*c2*c - 70.0*c2*c + 15.0*c)/8.0;
764 plg[0][6] = (11.0*c*plg[0][5] - 5.0*plg[0][4])/6.0;
765 /* plg[0][7] = (13.0*c*plg[0][6] - 6.0*plg[0][5])/7.0; */
768 plg[1][3] = 1.5*(5.0*c2-1.0)*s;
769 plg[1][4] = 2.5*(7.0*c2*c-3.0*c)*s;
770 plg[1][5] = 1.875*(21.0*c4 - 14.0*c2 +1.0)*s;
771 plg[1][6] = (11.0*c*plg[1][5]-6.0*plg[1][4])/5.0;
772 /* plg[1][7] = (13.0*c*plg[1][6]-7.0*plg[1][5])/6.0; */
773 /* plg[1][8] = (15.0*c*plg[1][7]-8.0*plg[1][6])/7.0; */
775 plg[2][3] = 15.0*s2*c;
776 plg[2][4] = 7.5*(7.0*c2 -1.0)*s2;
777 plg[2][5] = 3.0*c*plg[2][4]-2.0*plg[2][3];
778 plg[2][6] =(11.0*c*plg[2][5]-7.0*plg[2][4])/4.0;
779 plg[2][7] =(13.0*c*plg[2][6]-8.0*plg[2][5])/5.0;
780 plg[3][3] = 15.0*s2*s;
781 plg[3][4] = 105.0*s2*s*c;
782 plg[3][5] =(9.0*c*plg[3][4]-7.*plg[3][3])/2.0;
783 plg[3][6] =(11.0*c*plg[3][5]-8.*plg[3][4])/3.0;
785 if (!(((flags->sw[7]==0)&&(flags->sw[8]==0))&&(flags->sw[14]==0))) {
786 stloc = sin(hr*tloc);
787 ctloc = cos(hr*tloc);
788 s2tloc = sin(2.0*hr*tloc);
789 c2tloc = cos(2.0*hr*tloc);
790 s3tloc = sin(3.0*hr*tloc);
791 c3tloc = cos(3.0*hr*tloc);
794 cd32 = cos(dr*(input->doy-p[31]));
795 cd18 = cos(2.0*dr*(input->doy-p[17]));
796 cd14 = cos(dr*(input->doy-p[13]));
797 cd39 = cos(2.0*dr*(input->doy-p[38]));
804 df = input->f107 - input->f107A;
805 dfa = input->f107A - 150.0;
806 t[0] = p[19]*df*(1.0+p[59]*dfa) + p[20]*df*df + p[21]*dfa + p[29]*pow(dfa,2.0);
807 f1 = 1.0 + (p[47]*dfa +p[19]*df+p[20]*df*df)*flags->swc[1];
808 f2 = 1.0 + (p[49]*dfa+p[19]*df+p[20]*df*df)*flags->swc[1];
810 /* TIME INDEPENDENT */
811 t[1] = (p[1]*plg[0][2]+ p[2]*plg[0][4]+p[22]*plg[0][6]) +
812 (p[14]*plg[0][2])*dfa*flags->swc[1] +p[26]*plg[0][1];
814 /* SYMMETRICAL ANNUAL */
817 /* SYMMETRICAL SEMIANNUAL */
818 t[3] = (p[15]+p[16]*plg[0][2])*cd18;
820 /* ASYMMETRICAL ANNUAL */
821 t[4] = f1*(p[9]*plg[0][1]+p[10]*plg[0][3])*cd14;
823 /* ASYMMETRICAL SEMIANNUAL */
824 t[5] = p[37]*plg[0][1]*cd39;
829 t71 = (p[11]*plg[1][2])*cd14*flags->swc[5];
830 t72 = (p[12]*plg[1][2])*cd14*flags->swc[5];
831 t[6] = f2*((p[3]*plg[1][1] + p[4]*plg[1][3] + p[27]*plg[1][5] + t71) * \
832 ctloc + (p[6]*plg[1][1] + p[7]*plg[1][3] + p[28]*plg[1][5] \
839 t81 = (p[23]*plg[2][3]+p[35]*plg[2][5])*cd14*flags->swc[5];
840 t82 = (p[33]*plg[2][3]+p[36]*plg[2][5])*cd14*flags->swc[5];
841 t[7] = f2*((p[5]*plg[2][2]+ p[41]*plg[2][4] + t81)*c2tloc +(p[8]*plg[2][2] + p[42]*plg[2][4] + t82)*s2tloc);
846 t[13] = f2 * ((p[39]*plg[3][3]+(p[93]*plg[3][4]+p[46]*plg[3][6])*cd14*flags->swc[5])* s3tloc +(p[40]*plg[3][3]+(p[94]*plg[3][4]+p[48]*plg[3][6])*cd14*flags->swc[5])* c3tloc);
849 /* magnetic activity based on daily ap */
850 if (flags->sw[9]==-1) {
854 exp1 = exp(-10800.0*sqrt(p[51]*p[51])/(1.0+p[138]*(45.0-sqrt(input->g_lat*input->g_lat))));
859 apt[0]=sg0(exp1,p,ap->a);
860 /* apt[1]=sg2(exp1,p,ap->a);
861 apt[2]=sg0(exp2,p,ap->a);
862 apt[3]=sg2(exp2,p,ap->a);
865 t[8] = apt[0]*(p[50]+p[96]*plg[0][2]+p[54]*plg[0][4]+ \
866 (p[125]*plg[0][1]+p[126]*plg[0][3]+p[127]*plg[0][5])*cd14*flags->swc[5]+ \
867 (p[128]*plg[1][1]+p[129]*plg[1][3]+p[130]*plg[1][5])*flags->swc[7]* \
868 cos(hr*(tloc-p[131])));
878 apdf = apd + (p45-1.0)*(apd + (exp(-p44 * apd) - 1.0)/p44);
880 t[8]=apdf*(p[32]+p[45]*plg[0][2]+p[34]*plg[0][4]+ \
881 (p[100]*plg[0][1]+p[101]*plg[0][3]+p[102]*plg[0][5])*cd14*flags->swc[5]+
882 (p[121]*plg[1][1]+p[122]*plg[1][3]+p[123]*plg[1][5])*flags->swc[7]*
883 cos(hr*(tloc-p[124])));
887 if ((flags->sw[10])&&(input->g_long>-1000.0)) {
891 t[10] = (1.0 + p[80]*dfa*flags->swc[1])* \
892 ((p[64]*plg[1][2]+p[65]*plg[1][4]+p[66]*plg[1][6]\
893 +p[103]*plg[1][1]+p[104]*plg[1][3]+p[105]*plg[1][5]\
894 +flags->swc[5]*(p[109]*plg[1][1]+p[110]*plg[1][3]+p[111]*plg[1][5])*cd14)* \
895 cos(dgtr*input->g_long) \
896 +(p[90]*plg[1][2]+p[91]*plg[1][4]+p[92]*plg[1][6]\
897 +p[106]*plg[1][1]+p[107]*plg[1][3]+p[108]*plg[1][5]\
898 +flags->swc[5]*(p[112]*plg[1][1]+p[113]*plg[1][3]+p[114]*plg[1][5])*cd14)* \
899 sin(dgtr*input->g_long));
902 /* ut and mixed ut, longitude */
904 t[11]=(1.0+p[95]*plg[0][1])*(1.0+p[81]*dfa*flags->swc[1])*\
905 (1.0+p[119]*plg[0][1]*flags->swc[5]*cd14)*\
906 ((p[68]*plg[0][1]+p[69]*plg[0][3]+p[70]*plg[0][5])*\
907 cos(sr*(input->sec-p[71])));
908 t[11]+=flags->swc[11]*\
909 (p[76]*plg[2][3]+p[77]*plg[2][5]+p[78]*plg[2][7])*\
910 cos(sr*(input->sec-p[79])+2.0*dgtr*input->g_long)*(1.0+p[137]*dfa*flags->swc[1]);
913 /* ut, longitude magnetic activity */
915 if (flags->sw[9]==-1) {
917 t[12]=apt[0]*flags->swc[11]*(1.+p[132]*plg[0][1])*\
918 ((p[52]*plg[1][2]+p[98]*plg[1][4]+p[67]*plg[1][6])*\
919 cos(dgtr*(input->g_long-p[97])))\
920 +apt[0]*flags->swc[11]*flags->swc[5]*\
921 (p[133]*plg[1][1]+p[134]*plg[1][3]+p[135]*plg[1][5])*\
922 cd14*cos(dgtr*(input->g_long-p[136])) \
923 +apt[0]*flags->swc[12]* \
924 (p[55]*plg[0][1]+p[56]*plg[0][3]+p[57]*plg[0][5])*\
925 cos(sr*(input->sec-p[58]));
928 t[12] = apdf*flags->swc[11]*(1.0+p[120]*plg[0][1])*\
929 ((p[60]*plg[1][2]+p[61]*plg[1][4]+p[62]*plg[1][6])*\
930 cos(dgtr*(input->g_long-p[63])))\
931 +apdf*flags->swc[11]*flags->swc[5]* \
932 (p[115]*plg[1][1]+p[116]*plg[1][3]+p[117]*plg[1][5])* \
933 cd14*cos(dgtr*(input->g_long-p[118])) \
934 + apdf*flags->swc[12]* \
935 (p[83]*plg[0][1]+p[84]*plg[0][3]+p[85]*plg[0][5])* \
936 cos(sr*(input->sec-p[75]));
941 /* parms not used: 82, 89, 99, 139-149 */
944 tinf = tinf + fabs(flags->sw[i+1])*t[i];
948 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
950 double MSIS::glob7s(double *p, struct nrlmsise_input *input,
951 struct nrlmsise_flags *flags)
953 /* VERSION OF GLOBE FOR LOWER ATMOSPHERE 10/26/99
958 double cd32, cd18, cd14, cd39;
959 double p32, p18, p14, p39;
961 double dr=1.72142E-2;
962 double dgtr=1.74533E-2;
963 /* confirm parameter set */
967 printf("Wrong parameter set for glob7s\n");
972 cd32 = cos(dr*(input->doy-p[31]));
973 cd18 = cos(2.0*dr*(input->doy-p[17]));
974 cd14 = cos(dr*(input->doy-p[13]));
975 cd39 = cos(2.0*dr*(input->doy-p[38]));
984 /* time independent */
985 t[1]=p[1]*plg[0][2] + p[2]*plg[0][4] + p[22]*plg[0][6] + p[26]*plg[0][1] + p[14]*plg[0][3] + p[59]*plg[0][5];
987 /* SYMMETRICAL ANNUAL */
988 t[2]=(p[18]+p[47]*plg[0][2]+p[29]*plg[0][4])*cd32;
990 /* SYMMETRICAL SEMIANNUAL */
991 t[3]=(p[15]+p[16]*plg[0][2]+p[30]*plg[0][4])*cd18;
993 /* ASYMMETRICAL ANNUAL */
994 t[4]=(p[9]*plg[0][1]+p[10]*plg[0][3]+p[20]*plg[0][5])*cd14;
996 /* ASYMMETRICAL SEMIANNUAL */
997 t[5]=(p[37]*plg[0][1])*cd39;
1002 t71 = p[11]*plg[1][2]*cd14*flags->swc[5];
1003 t72 = p[12]*plg[1][2]*cd14*flags->swc[5];
1004 t[6] = ((p[3]*plg[1][1] + p[4]*plg[1][3] + t71) * ctloc + (p[6]*plg[1][1] + p[7]*plg[1][3] + t72) * stloc) ;
1010 t81 = (p[23]*plg[2][3]+p[35]*plg[2][5])*cd14*flags->swc[5];
1011 t82 = (p[33]*plg[2][3]+p[36]*plg[2][5])*cd14*flags->swc[5];
1012 t[7] = ((p[5]*plg[2][2] + p[41]*plg[2][4] + t81) * c2tloc + (p[8]*plg[2][2] + p[42]*plg[2][4] + t82) * s2tloc);
1016 if (flags->sw[14]) {
1017 t[13] = p[39] * plg[3][3] * s3tloc + p[40] * plg[3][3] * c3tloc;
1020 /* MAGNETIC ACTIVITY */
1022 if (flags->sw[9]==1)
1023 t[8] = apdf * (p[32] + p[45] * plg[0][2] * flags->swc[2]);
1024 if (flags->sw[9]==-1)
1025 t[8]=(p[50]*apt[0] + p[96]*plg[0][2] * apt[0]*flags->swc[2]);
1029 if (!((flags->sw[10]==0) || (flags->sw[11]==0) || (input->g_long<=-1000.0))) {
1030 t[10] = (1.0 + plg[0][1]*(p[80]*flags->swc[5]*cos(dr*(input->doy-p[81]))\
1031 +p[85]*flags->swc[6]*cos(2.0*dr*(input->doy-p[86])))\
1032 +p[83]*flags->swc[3]*cos(dr*(input->doy-p[84]))\
1033 +p[87]*flags->swc[4]*cos(2.0*dr*(input->doy-p[88])))\
1034 *((p[64]*plg[1][2]+p[65]*plg[1][4]+p[66]*plg[1][6]\
1035 +p[74]*plg[1][1]+p[75]*plg[1][3]+p[76]*plg[1][5]\
1036 )*cos(dgtr*input->g_long)\
1037 +(p[90]*plg[1][2]+p[91]*plg[1][4]+p[92]*plg[1][6]\
1038 +p[77]*plg[1][1]+p[78]*plg[1][3]+p[79]*plg[1][5]\
1039 )*sin(dgtr*input->g_long));
1043 tt+=fabs(flags->sw[i+1])*t[i];
1047 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
1049 void MSIS::gtd7(struct nrlmsise_input *input, struct nrlmsise_flags *flags,
1050 struct nrlmsise_output *output)
1055 double zn3[5]={32.5,20.0,15.0,10.0,0.0};
1057 double zn2[4]={72.5,55.0,45.0,32.5};
1066 struct nrlmsise_output soutput;
1071 /* Latitude variation of gravity (none for sw[2]=0) */
1073 if (flags->sw[2]==0)
1075 glatf(xlat, &gsurf, &re);
1079 /* THERMOSPHERE / MESOSPHERE (above zn2[0]) */
1080 if (input->alt>zn2[0])
1087 gts7(input, flags, &soutput);
1090 if (flags->sw[0]) /* metric adjustment */
1094 output->t[0]=soutput.t[0];
1095 output->t[1]=soutput.t[1];
1096 if (input->alt>=zn2[0]) {
1098 output->d[i]=soutput.d[i];
1102 /* LOWER MESOSPHERE/UPPER STRATOSPHERE (between zn3[0] and zn2[0])
1103 * Temperature at nodes and gradients at end nodes
1104 * Inverse temperature a linear function of spherical harmonics
1106 meso_tgn2[0]=meso_tgn1[1];
1107 meso_tn2[0]=meso_tn1[4];
1108 meso_tn2[1]=pma[0][0]*pavgm[0]/(1.0-flags->sw[20]*glob7s(pma[0], input, flags));
1109 meso_tn2[2]=pma[1][0]*pavgm[1]/(1.0-flags->sw[20]*glob7s(pma[1], input, flags));
1110 meso_tn2[3]=pma[2][0]*pavgm[2]/(1.0-flags->sw[20]*flags->sw[22]*glob7s(pma[2], input, flags));
1111 meso_tgn2[1]=pavgm[8]*pma[9][0]*(1.0+flags->sw[20]*flags->sw[22]*glob7s(pma[9], input, flags))*meso_tn2[3]*meso_tn2[3]/(pow((pma[2][0]*pavgm[2]),2.0));
1112 meso_tn3[0]=meso_tn2[3];
1114 if (input->alt<zn3[0]) {
1115 /* LOWER STRATOSPHERE AND TROPOSPHERE (below zn3[0])
1116 * Temperature at nodes and gradients at end nodes
1117 * Inverse temperature a linear function of spherical harmonics
1119 meso_tgn3[0]=meso_tgn2[1];
1120 meso_tn3[1]=pma[3][0]*pavgm[3]/(1.0-flags->sw[22]*glob7s(pma[3], input, flags));
1121 meso_tn3[2]=pma[4][0]*pavgm[4]/(1.0-flags->sw[22]*glob7s(pma[4], input, flags));
1122 meso_tn3[3]=pma[5][0]*pavgm[5]/(1.0-flags->sw[22]*glob7s(pma[5], input, flags));
1123 meso_tn3[4]=pma[6][0]*pavgm[6]/(1.0-flags->sw[22]*glob7s(pma[6], input, flags));
1124 meso_tgn3[1]=pma[7][0]*pavgm[7]*(1.0+flags->sw[22]*glob7s(pma[7], input, flags)) *meso_tn3[4]*meso_tn3[4]/(pow((pma[6][0]*pavgm[6]),2.0));
1127 /* LINEAR TRANSITION TO FULL MIXING BELOW zn2[0] */
1130 if (input->alt>zmix)
1131 dmc = 1.0 - (zn2[0]-input->alt)/(zn2[0] - zmix);
1134 /**** N2 density ****/
1135 dmr=soutput.d[2] / dm28m - 1.0;
1136 output->d[2]=densm(input->alt,dm28m,xmm, &tz, mn3, zn3, meso_tn3, meso_tgn3, mn2, zn2, meso_tn2, meso_tgn2);
1137 output->d[2]=output->d[2] * (1.0 + dmr*dmc);
1139 /**** HE density ****/
1140 dmr = soutput.d[0] / (dz28 * pdm[0][1]) - 1.0;
1141 output->d[0] = output->d[2] * pdm[0][1] * (1.0 + dmr*dmc);
1143 /**** O density ****/
1147 /**** O2 density ****/
1148 dmr = soutput.d[3] / (dz28 * pdm[3][1]) - 1.0;
1149 output->d[3] = output->d[2] * pdm[3][1] * (1.0 + dmr*dmc);
1151 /**** AR density ***/
1152 dmr = soutput.d[4] / (dz28 * pdm[4][1]) - 1.0;
1153 output->d[4] = output->d[2] * pdm[4][1] * (1.0 + dmr*dmc);
1155 /**** Hydrogen density ****/
1158 /**** Atomic nitrogen density ****/
1161 /**** Total mass density */
1162 output->d[5] = 1.66E-24 * (4.0 * output->d[0] + 16.0 * output->d[1] +
1163 28.0 * output->d[2] + 32.0 * output->d[3] + 40.0 * output->d[4]
1164 + output->d[6] + 14.0 * output->d[7]);
1167 output->d[5]=output->d[5]/1000;
1169 /**** temperature at altitude ****/
1170 dd = densm(input->alt, 1.0, 0, &tz, mn3, zn3, meso_tn3, meso_tgn3,
1171 mn2, zn2, meso_tn2, meso_tgn2);
1176 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
1178 void MSIS::gtd7d(struct nrlmsise_input *input, struct nrlmsise_flags *flags,
1179 struct nrlmsise_output *output)
1181 gtd7(input, flags, output);
1182 output->d[5] = 1.66E-24 * (4.0 * output->d[0] + 16.0 * output->d[1] +
1183 28.0 * output->d[2] + 32.0 * output->d[3] + 40.0 * output->d[4]
1184 + output->d[6] + 14.0 * output->d[7] + 16.0 * output->d[8]);
1187 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
1189 void MSIS::ghp7(struct nrlmsise_input *input, struct nrlmsise_flags *flags,
1190 struct nrlmsise_output *output, double press)
1192 double bm = 1.3806E-19;
1193 double rgas = 831.4;
1194 double test = 0.00043;
1201 double xn, xm, diff;
1207 zi = 18.06 * (3.00 - pl);
1208 else if ((pl>0.075) && (pl<=2.5))
1209 zi = 14.98 * (3.08 - pl);
1210 else if ((pl>-1) && (pl<=0.075))
1211 zi = 17.80 * (2.72 - pl);
1212 else if ((pl>-2) && (pl<=-1))
1213 zi = 14.28 * (3.64 - pl);
1214 else if ((pl>-4) && (pl<=-2))
1215 zi = 12.72 * (4.32 -pl);
1217 zi = 25.3 * (0.11 - pl);
1218 cl = input->g_lat/90.0;
1221 cd = (1.0 - (double) input->doy) / 91.25;
1223 cd = ((double) input->doy) / 91.25 - 3.0;
1225 if ((pl > -1.11) && (pl<=-0.23))
1228 ca = (2.79 - pl) / (2.79 + 0.23);
1229 if ((pl <= -1.11) && (pl>-3))
1230 ca = (-2.93 - pl)/(-2.93 + 1.11);
1231 z = zi - 4.87 * cl * cd * ca - 1.64 * cl2 * ca + 0.31 * ca * cl;
1233 z = 22.0 * pow((pl + 4.0),2.0) + 110.0;
1235 /* iteration loop */
1240 gtd7(input, flags, output);
1242 xn = output->d[0] + output->d[1] + output->d[2] + output->d[3] + output->d[4] + output->d[6] + output->d[7];
1243 p = bm * xn * output->t[1];
1246 diff = pl - log10(p);
1247 if (sqrt(diff*diff)<test)
1250 printf("ERROR: ghp7 not converging for press %e, diff %e",press,diff);
1253 xm = output->d[5] / xn / 1.66E-24;
1256 g = gsurf / (pow((1.0 + z/re),2.0));
1257 sh = rgas * output->t[1] / (xm * g);
1259 /* new altitude estimate using scale height */
1261 z = z - sh * diff * 2.302;
1267 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
1269 void MSIS::gts7(struct nrlmsise_input *input, struct nrlmsise_flags *flags,
1270 struct nrlmsise_output *output)
1272 /* Thermospheric portion of NRLMSISE-00
1273 * See GTD7 for more extensive comments
1279 double zn1[5] = {120.0, 110.0, 100.0, 90.0, 72.5};
1284 double s, z0, t0, tr12;
1285 double db01, db04, db14, db16, db28, db32, db40, db48;
1286 double zh28, zh04, zh16, zh32, zh40, zh01, zh14;
1287 double zhm28, zhm04, zhm16, zhm32, zhm40, zhm01, zhm14;
1289 double b28, b04, b16, b32, b40, b01, b14;
1291 double g28, g4, g16, g32, g40, g1, g14;
1293 double zc04, zc16, zc32, zc40, zc01, zc14;
1294 double hc04, hc16, hc32, hc40, hc01, hc14;
1295 double hcc16, hcc32, hcc01, hcc14;
1296 double zcc16, zcc32, zcc01, zcc14;
1297 double rc16, rc32, rc01, rc14;
1299 double g16h, db16h, tho, zsht, zmho, zsho;
1300 double dgtr=1.74533E-2;
1301 double dr=1.72142E-2;
1302 double alpha[9]={-0.38, 0.0, 0.0, 0.0, 0.17, 0.0, -0.38, 0.0, 0.0};
1303 double altl[8]={200.0, 300.0, 160.0, 250.0, 240.0, 450.0, 320.0, 450.0};
1305 double hc216, hcc232;
1311 /* TINF VARIATIONS NOT IMPORTANT BELOW ZA OR ZN1(1) */
1312 if (input->alt>zn1[0])
1313 tinf = ptm[0]*pt[0] * \
1314 (1.0+flags->sw[16]*globe7(pt,input,flags));
1316 tinf = ptm[0]*pt[0];
1319 /* GRADIENT VARIATIONS NOT IMPORTANT BELOW ZN1(5) */
1320 if (input->alt>zn1[4])
1321 g0 = ptm[3]*ps[0] * \
1322 (1.0+flags->sw[19]*globe7(ps,input,flags));
1325 tlb = ptm[1] * (1.0 + flags->sw[17]*globe7(pd[3],input,flags))*pd[3][0];
1326 s = g0 / (tinf - tlb);
1328 /* Lower thermosphere temp variations not significant for
1329 * density above 300 km */
1330 if (input->alt<300.0) {
1331 meso_tn1[1]=ptm[6]*ptl[0][0]/(1.0-flags->sw[18]*glob7s(ptl[0], input, flags));
1332 meso_tn1[2]=ptm[2]*ptl[1][0]/(1.0-flags->sw[18]*glob7s(ptl[1], input, flags));
1333 meso_tn1[3]=ptm[7]*ptl[2][0]/(1.0-flags->sw[18]*glob7s(ptl[2], input, flags));
1334 meso_tn1[4]=ptm[4]*ptl[3][0]/(1.0-flags->sw[18]*flags->sw[20]*glob7s(ptl[3], input, flags));
1335 meso_tgn1[1]=ptm[8]*pma[8][0]*(1.0+flags->sw[18]*flags->sw[20]*glob7s(pma[8], input, flags))*meso_tn1[4]*meso_tn1[4]/(pow((ptm[4]*ptl[3][0]),2.0));
1337 meso_tn1[1]=ptm[6]*ptl[0][0];
1338 meso_tn1[2]=ptm[2]*ptl[1][0];
1339 meso_tn1[3]=ptm[7]*ptl[2][0];
1340 meso_tn1[4]=ptm[4]*ptl[3][0];
1341 meso_tgn1[1]=ptm[8]*pma[8][0]*meso_tn1[4]*meso_tn1[4]/(pow((ptm[4]*ptl[3][0]),2.0));
1348 /* N2 variation factor at Zlb */
1349 g28=flags->sw[21]*globe7(pd[2], input, flags);
1351 /* VARIATION OF TURBOPAUSE HEIGHT */
1352 zhf=pdl[1][24]*(1.0+flags->sw[5]*pdl[0][24]*sin(dgtr*input->g_lat)*cos(dr*(input->doy-pt[13])));
1358 /**** N2 DENSITY ****/
1360 /* Diffusive density at Zlb */
1361 db28 = pdm[2][0]*exp(g28)*pd[2][0];
1362 /* Diffusive density at Alt */
1363 output->d[2]=densu(z,db28,tinf,tlb,28.0,alpha[2],&output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1367 zhm28=pdm[2][3]*pdl[1][5];
1369 /* Mixed density at Zlb */
1370 b28=densu(zh28,db28,tinf,tlb,xmd,(alpha[2]-1.0),&tz,ptm[5],s,mn1, zn1,meso_tn1,meso_tgn1);
1371 if ((flags->sw[15])&&(z<=altl[2])) {
1372 /* Mixed density at Alt */
1373 dm28=densu(z,b28,tinf,tlb,xmm,alpha[2],&tz,ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1374 /* Net density at Alt */
1375 output->d[2]=dnet(output->d[2],dm28,zhm28,xmm,28.0);
1379 /**** HE DENSITY ****/
1381 /* Density variation factor at Zlb */
1382 g4 = flags->sw[21]*globe7(pd[0], input, flags);
1383 /* Diffusive density at Zlb */
1384 db04 = pdm[0][0]*exp(g4)*pd[0][0];
1385 /* Diffusive density at Alt */
1386 output->d[0]=densu(z,db04,tinf,tlb, 4.,alpha[0],&output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1388 if ((flags->sw[15]) && (z<altl[0])) {
1391 /* Mixed density at Zlb */
1392 b04=densu(zh04,db04,tinf,tlb,4.-xmm,alpha[0]-1.,&output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1393 /* Mixed density at Alt */
1394 dm04=densu(z,b04,tinf,tlb,xmm,0.,&output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1396 /* Net density at Alt */
1397 output->d[0]=dnet(output->d[0],dm04,zhm04,xmm,4.);
1398 /* Correction to specified mixing ratio at ground */
1399 rl=log(b28*pdm[0][1]/b04);
1400 zc04=pdm[0][4]*pdl[1][0];
1401 hc04=pdm[0][5]*pdl[1][1];
1402 /* Net density corrected at Alt */
1403 output->d[0]=output->d[0]*ccor(z,rl,hc04,zc04);
1407 /**** O DENSITY ****/
1409 /* Density variation factor at Zlb */
1410 g16= flags->sw[21]*globe7(pd[1],input,flags);
1411 /* Diffusive density at Zlb */
1412 db16 = pdm[1][0]*exp(g16)*pd[1][0];
1413 /* Diffusive density at Alt */
1414 output->d[1]=densu(z,db16,tinf,tlb, 16.,alpha[1],&output->t[1],ptm[5],s,mn1, zn1,meso_tn1,meso_tgn1);
1416 if ((flags->sw[15]) && (z<=altl[1])) {
1419 /* Mixed density at Zlb */
1420 b16=densu(zh16,db16,tinf,tlb,16.0-xmm,(alpha[1]-1.0), &output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1421 /* Mixed density at Alt */
1422 dm16=densu(z,b16,tinf,tlb,xmm,0.,&output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1424 /* Net density at Alt */
1425 output->d[1]=dnet(output->d[1],dm16,zhm16,xmm,16.);
1426 rl=pdm[1][1]*pdl[1][16]*(1.0+flags->sw[1]*pdl[0][23]*(input->f107A-150.0));
1427 hc16=pdm[1][5]*pdl[1][3];
1428 zc16=pdm[1][4]*pdl[1][2];
1429 hc216=pdm[1][5]*pdl[1][4];
1430 output->d[1]=output->d[1]*ccor2(z,rl,hc16,zc16,hc216);
1431 /* Chemistry correction */
1432 hcc16=pdm[1][7]*pdl[1][13];
1433 zcc16=pdm[1][6]*pdl[1][12];
1434 rc16=pdm[1][3]*pdl[1][14];
1435 /* Net density corrected at Alt */
1436 output->d[1]=output->d[1]*ccor(z,rc16,hcc16,zcc16);
1440 /**** O2 DENSITY ****/
1442 /* Density variation factor at Zlb */
1443 g32= flags->sw[21]*globe7(pd[4], input, flags);
1444 /* Diffusive density at Zlb */
1445 db32 = pdm[3][0]*exp(g32)*pd[4][0];
1446 /* Diffusive density at Alt */
1447 output->d[3]=densu(z,db32,tinf,tlb, 32.,alpha[3],&output->t[1],ptm[5],s,mn1, zn1,meso_tn1,meso_tgn1);
1449 if (flags->sw[15]) {
1453 /* Mixed density at Zlb */
1454 b32=densu(zh32,db32,tinf,tlb,32.-xmm,alpha[3]-1., &output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1455 /* Mixed density at Alt */
1456 dm32=densu(z,b32,tinf,tlb,xmm,0.,&output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1458 /* Net density at Alt */
1459 output->d[3]=dnet(output->d[3],dm32,zhm32,xmm,32.);
1460 /* Correction to specified mixing ratio at ground */
1461 rl=log(b28*pdm[3][1]/b32);
1462 hc32=pdm[3][5]*pdl[1][7];
1463 zc32=pdm[3][4]*pdl[1][6];
1464 output->d[3]=output->d[3]*ccor(z,rl,hc32,zc32);
1466 /* Correction for general departure from diffusive equilibrium above Zlb */
1467 hcc32=pdm[3][7]*pdl[1][22];
1468 hcc232=pdm[3][7]*pdl[0][22];
1469 zcc32=pdm[3][6]*pdl[1][21];
1470 rc32=pdm[3][3]*pdl[1][23]*(1.+flags->sw[1]*pdl[0][23]*(input->f107A-150.));
1471 /* Net density corrected at Alt */
1472 output->d[3]=output->d[3]*ccor2(z,rc32,hcc32,zcc32,hcc232);
1476 /**** AR DENSITY ****/
1478 /* Density variation factor at Zlb */
1479 g40= flags->sw[20]*globe7(pd[5],input,flags);
1480 /* Diffusive density at Zlb */
1481 db40 = pdm[4][0]*exp(g40)*pd[5][0];
1482 /* Diffusive density at Alt */
1483 output->d[4]=densu(z,db40,tinf,tlb, 40.,alpha[4],&output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1485 if ((flags->sw[15]) && (z<=altl[4])) {
1488 /* Mixed density at Zlb */
1489 b40=densu(zh40,db40,tinf,tlb,40.-xmm,alpha[4]-1.,&output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1490 /* Mixed density at Alt */
1491 dm40=densu(z,b40,tinf,tlb,xmm,0.,&output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1493 /* Net density at Alt */
1494 output->d[4]=dnet(output->d[4],dm40,zhm40,xmm,40.);
1495 /* Correction to specified mixing ratio at ground */
1496 rl=log(b28*pdm[4][1]/b40);
1497 hc40=pdm[4][5]*pdl[1][9];
1498 zc40=pdm[4][4]*pdl[1][8];
1499 /* Net density corrected at Alt */
1500 output->d[4]=output->d[4]*ccor(z,rl,hc40,zc40);
1504 /**** HYDROGEN DENSITY ****/
1506 /* Density variation factor at Zlb */
1507 g1 = flags->sw[21]*globe7(pd[6], input, flags);
1508 /* Diffusive density at Zlb */
1509 db01 = pdm[5][0]*exp(g1)*pd[6][0];
1510 /* Diffusive density at Alt */
1511 output->d[6]=densu(z,db01,tinf,tlb,1.,alpha[6],&output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1513 if ((flags->sw[15]) && (z<=altl[6])) {
1516 /* Mixed density at Zlb */
1517 b01=densu(zh01,db01,tinf,tlb,1.-xmm,alpha[6]-1., &output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1518 /* Mixed density at Alt */
1519 dm01=densu(z,b01,tinf,tlb,xmm,0.,&output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1521 /* Net density at Alt */
1522 output->d[6]=dnet(output->d[6],dm01,zhm01,xmm,1.);
1523 /* Correction to specified mixing ratio at ground */
1524 rl=log(b28*pdm[5][1]*sqrt(pdl[1][17]*pdl[1][17])/b01);
1525 hc01=pdm[5][5]*pdl[1][11];
1526 zc01=pdm[5][4]*pdl[1][10];
1527 output->d[6]=output->d[6]*ccor(z,rl,hc01,zc01);
1528 /* Chemistry correction */
1529 hcc01=pdm[5][7]*pdl[1][19];
1530 zcc01=pdm[5][6]*pdl[1][18];
1531 rc01=pdm[5][3]*pdl[1][20];
1532 /* Net density corrected at Alt */
1533 output->d[6]=output->d[6]*ccor(z,rc01,hcc01,zcc01);
1537 /**** ATOMIC NITROGEN DENSITY ****/
1539 /* Density variation factor at Zlb */
1540 g14 = flags->sw[21]*globe7(pd[7],input,flags);
1541 /* Diffusive density at Zlb */
1542 db14 = pdm[6][0]*exp(g14)*pd[7][0];
1543 /* Diffusive density at Alt */
1544 output->d[7]=densu(z,db14,tinf,tlb,14.,alpha[7],&output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1546 if ((flags->sw[15]) && (z<=altl[7])) {
1549 /* Mixed density at Zlb */
1550 b14=densu(zh14,db14,tinf,tlb,14.-xmm,alpha[7]-1., &output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1551 /* Mixed density at Alt */
1552 dm14=densu(z,b14,tinf,tlb,xmm,0.,&output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1554 /* Net density at Alt */
1555 output->d[7]=dnet(output->d[7],dm14,zhm14,xmm,14.);
1556 /* Correction to specified mixing ratio at ground */
1557 rl=log(b28*pdm[6][1]*sqrt(pdl[0][2]*pdl[0][2])/b14);
1558 hc14=pdm[6][5]*pdl[0][1];
1559 zc14=pdm[6][4]*pdl[0][0];
1560 output->d[7]=output->d[7]*ccor(z,rl,hc14,zc14);
1561 /* Chemistry correction */
1562 hcc14=pdm[6][7]*pdl[0][4];
1563 zcc14=pdm[6][6]*pdl[0][3];
1564 rc14=pdm[6][3]*pdl[0][5];
1565 /* Net density corrected at Alt */
1566 output->d[7]=output->d[7]*ccor(z,rc14,hcc14,zcc14);
1570 /**** Anomalous OXYGEN DENSITY ****/
1572 g16h = flags->sw[21]*globe7(pd[8],input,flags);
1573 db16h = pdm[7][0]*exp(g16h)*pd[8][0];
1574 tho = pdm[7][9]*pdl[0][6];
1575 dd=densu(z,db16h,tho,tho,16.,alpha[8],&output->t[1],ptm[5],s,mn1, zn1,meso_tn1,meso_tgn1);
1578 zsho=scalh(zmho,16.0,tho);
1579 output->d[8]=dd*exp(-zsht/zsho*(exp(-(z-zmho)/zsht)-1.));
1582 /* total mass density */
1583 output->d[5] = 1.66E-24*(4.0*output->d[0]+16.0*output->d[1]+28.0*output->d[2]+32.0*output->d[3]+40.0*output->d[4]+ output->d[6]+14.0*output->d[7]);
1584 db48=1.66E-24*(4.0*db04+16.0*db16+28.0*db28+32.0*db32+40.0*db40+db01+14.0*db14);
1589 z = sqrt(input->alt*input->alt);
1590 ddum = densu(z,1.0, tinf, tlb, 0.0, 0.0, &output->t[1], ptm[5], s, mn1, zn1, meso_tn1, meso_tgn1);
1593 output->d[i]=output->d[i]*1.0E6;
1594 output->d[5]=output->d[5]/1000;
1599 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
1600 // The bitmasked value choices are as follows:
1601 // unset: In this case (the default) JSBSim would only print
1602 // out the normally expected messages, essentially echoing
1603 // the config files as they are read. If the environment
1604 // variable is not set, debug_lvl is set to 1 internally
1605 // 0: This requests JSBSim not to output any messages
1607 // 1: This value explicity requests the normal JSBSim
1609 // 2: This value asks for a message to be printed out when
1610 // a class is instantiated
1611 // 4: When this value is set, a message is displayed when a
1612 // FGModel object executes its Run() method
1613 // 8: When this value is set, various runtime state variables
1614 // are printed out periodically
1615 // 16: When set various parameters are sanity checked and
1616 // a message is printed out when they go out of bounds
1618 void MSIS::Debug(int from)
1620 if (debug_lvl <= 0) return;
1622 if (debug_lvl & 1) { // Standard console startup message output
1623 if (from == 0) { // Constructor
1626 if (debug_lvl & 2 ) { // Instantiation/Destruction notification
1627 if (from == 0) cout << "Instantiated: MSIS" << endl;
1628 if (from == 1) cout << "Destroyed: MSIS" << endl;
1630 if (debug_lvl & 4 ) { // Run() method entry print for FGModel-derived objects
1632 if (debug_lvl & 8 ) { // Runtime state variables
1634 if (debug_lvl & 16) { // Sanity checking
1636 if (debug_lvl & 32) { // Turbulence
1637 if (first_pass && from == 2) {
1638 cout << "vTurbulenceNED(X), vTurbulenceNED(Y), vTurbulenceNED(Z), "
1639 << "vTurbulenceGrad(X), vTurbulenceGrad(Y), vTurbulenceGrad(Z), "
1640 << "vDirection(X), vDirection(Y), vDirection(Z), "
1642 << "vTurbPQR(P), vTurbPQR(Q), vTurbPQR(R), " << endl;
1645 cout << vTurbulenceNED << ", " << vTurbulenceGrad << ", " << vDirection << ", " << Magnitude << ", " << vTurbPQR << endl;
1648 if (debug_lvl & 64) {
1649 if (from == 0) { // Constructor
1650 cout << IdSrc << endl;
1651 cout << IdHdr << endl;
1658 } // namespace JSBSim