1 /*%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
5 (incorporated into C++ JSBSim class hierarchy, 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 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%*/
61 #include "models/FGAuxiliary.h"
62 #include <cmath> /* maths functions */
63 #include <iostream> // for cout, endl
69 static const char *IdSrc = "$Id: FGMSIS.cpp,v 1.19 2011/12/11 17:03:05 bcoconni Exp $";
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)
99 for (int i=0; i<9; i++) output.d[i] = 0.0;
100 for (int i=0; i<2; i++) output.t[i] = 0.0;
102 dm04 = dm16 = dm28 = dm32 = dm40 = dm01 = dm14 = dfa = 0.0;
104 for (int i=0; i<5; i++) meso_tn1[i] = 0.0;
105 for (int i=0; i<4; i++) meso_tn2[i] = 0.0;
106 for (int i=0; i<5; i++) meso_tn3[i] = 0.0;
107 for (int i=0; i<2; i++) meso_tgn1[i] = 0.0;
108 for (int i=0; i<2; i++) meso_tgn2[i] = 0.0;
109 for (int i=0; i<2; i++) meso_tgn3[i] = 0.0;
114 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
121 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
123 bool MSIS::InitModel(void)
127 flags.switches[0] = 0;
131 flags.switches[i] = 1;
136 for (i=0;i<7;i++) aph.a[i] = 100.0;
138 // set some common magnetic flux values
145 // SLtemperature = intTemperature = 518.0;
146 // SLpressure = intPressure = 2116.7;
147 // SLdensity = intDensity = 0.002378;
148 // SLsoundspeed = sqrt(2403.0832 * SLtemperature);
149 // rSLtemperature = 1.0/intTemperature;
150 // rSLpressure = 1.0/intPressure;
151 // rSLdensity = 1.0/intDensity;
152 // rSLsoundspeed = 1.0/SLsoundspeed;
157 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
159 bool MSIS::Run(bool Holding)
161 if (FGModel::Run(Holding)) return true;
162 if (Holding) return false;
164 double h = FDMExec->GetPropagate()->GetAltitudeASL();
166 //do temp, pressure, and density first
167 //if (!useExternal) {
168 // get sea-level values
169 Calculate(FDMExec->GetAuxiliary()->GetDayOfYear(),
170 FDMExec->GetAuxiliary()->GetSecondsInDay(),
172 FDMExec->GetPropagate()->GetLocation().GetLatitudeDeg(),
173 FDMExec->GetPropagate()->GetLocation().GetLongitudeDeg());
174 SLtemperature = output.t[1] * 1.8;
175 SLdensity = output.d[5] * 1.940321;
176 SLpressure = 1716.488 * SLdensity * SLtemperature;
177 SLsoundspeed = sqrt(2403.0832 * SLtemperature);
178 rSLtemperature = 1.0/SLtemperature;
179 rSLpressure = 1.0/SLpressure;
180 rSLdensity = 1.0/SLdensity;
181 rSLsoundspeed = 1.0/SLsoundspeed;
183 // get at-altitude values
184 Calculate(FDMExec->GetAuxiliary()->GetDayOfYear(),
185 FDMExec->GetAuxiliary()->GetSecondsInDay(),
187 FDMExec->GetPropagate()->GetLocation().GetLatitudeDeg(),
188 FDMExec->GetPropagate()->GetLocation().GetLongitudeDeg());
189 //intTemperature = output.t[1] * 1.8;
190 //intDensity = output.d[5] * 1.940321;
191 //intPressure = 1716.488 * intDensity * intTemperature;
192 //cout << "T=" << intTemperature << " D=" << intDensity << " P=";
193 //cout << intPressure << " a=" << soundspeed << endl;
201 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
203 void MSIS::Calculate(int day, double sec, double alt, double lat, double lon)
208 input.alt = alt / 3281; //feet to kilometers
212 input.lst = (sec/3600) + (lon/15);
213 if (input.lst > 24.0) input.lst -= 24.0;
214 if (input.lst < 0.0) input.lst = 24 - input.lst;
216 gtd7d(&input, &flags, &output);
219 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
222 void MSIS::UseExternal(void){
223 // do nothing, external control not allowed
227 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
230 void MSIS::tselec(struct nrlmsise_flags *flags)
235 if (flags->switches[i]==1)
239 if (flags->switches[i]>0)
244 flags->sw[i]=flags->switches[i];
245 flags->swc[i]=flags->switches[i];
251 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
253 void MSIS::glatf(double lat, double *gv, double *reff)
255 double dgtr = 1.74533E-2;
257 c2 = cos(2.0*dgtr*lat);
258 *gv = 980.616 * (1.0 - 0.0026373 * c2);
259 *reff = 2.0 * (*gv) / (3.085462E-6 + 2.27E-9 * c2) * 1.0E-5;
262 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
264 double MSIS::ccor(double alt, double r, double h1, double zh)
266 /* CHEMISTRY/DISSOCIATION CORRECTION FOR MSIS MODELS
269 * H1 - transition scale length
270 * ZH - altitude of 1/2 R
284 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
286 double MSIS::ccor2(double alt, double r, double h1, double zh, double h2)
288 /* CHEMISTRY/DISSOCIATION CORRECTION FOR MSIS MODELS
291 * H1 - transition scale length
292 * ZH - altitude of 1/2 R
293 * H2 - transition scale length #2 ?
298 e1 = (alt - zh) / h1;
299 e2 = (alt - zh) / h2;
300 if ((e1 > 70) || (e2 > 70))
302 if ((e1 < -70) && (e2 < -70))
306 ccor2v = r / (1.0 + 0.5 * (ex1 + ex2));
310 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
312 double MSIS::scalh(double alt, double xm, double temp)
316 g = gsurf / (pow((1.0 + alt/re),2.0));
317 g = rgas * temp / (g * xm);
321 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
323 double MSIS::dnet (double dd, double dm, double zhm, double xmm, double xm)
325 /* TURBOPAUSE CORRECTION FOR MSIS MODELS
327 * DD - diffusive density
328 * DM - full mixed density
329 * ZHM - transition scale length
330 * XMM - full mixed molecular weight
331 * XM - species molecular weight
332 * DNET - combined density
337 if (!((dm>0) && (dd>0))) {
338 cerr << "dnet log error " << dm << ' ' << dd << ' ' << xm << ' ' << endl;
339 if ((dd==0) && (dm==0))
346 ylog = a * log(dm/dd);
351 a = dd*pow((1.0 + exp(ylog)),(1.0/a));
355 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
357 void MSIS::splini (double *xa, double *ya, double *y2a, int n, double x, double *y)
359 /* INTEGRATE CUBIC SPLINE FUNCTION FROM XA(1) TO X
360 * XA,YA: ARRAYS OF TABULATED FUNCTION IN ASCENDING ORDER BY X
361 * Y2A: ARRAY OF SECOND DERIVATIVES
362 * N: SIZE OF ARRAYS XA,YA,Y2A
363 * X: ABSCISSA ENDPOINT FOR INTEGRATION
369 double xx=0.0, h=0.0, a=0.0, b=0.0, a2=0.0, b2=0.0;
370 while ((x>xa[klo]) && (khi<n)) {
378 h = xa[khi] - xa[klo];
379 a = (xa[khi] - xx)/h;
380 b = (xx - xa[klo])/h;
383 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;
390 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
392 void MSIS::splint (double *xa, double *ya, double *y2a, int n, double x, double *y)
394 /* CALCULATE CUBIC SPLINE INTERP VALUE
395 * ADAPTED FROM NUMERICAL RECIPES BY PRESS ET AL.
396 * XA,YA: ARRAYS OF TABULATED FUNCTION IN ASCENDING ORDER BY X
397 * Y2A: ARRAY OF SECOND DERIVATIVES
398 * N: SIZE OF ARRAYS XA,YA,Y2A
399 * X: ABSCISSA FOR INTERPOLATION
407 while ((khi-klo)>1) {
414 h = xa[khi] - xa[klo];
416 cerr << "bad XA input to splint" << endl;
419 yi = a * ya[klo] + b * ya[khi] + ((a*a*a - a) * y2a[klo] + (b*b*b - b) * y2a[khi]) * h * h/6.0;
423 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
425 void MSIS::spline (double *x, double *y, int n, double yp1, double ypn, double *y2)
427 /* CALCULATE 2ND DERIVATIVES OF CUBIC SPLINE INTERP FUNCTION
428 * ADAPTED FROM NUMERICAL RECIPES BY PRESS ET AL
429 * X,Y: ARRAYS OF TABULATED FUNCTION IN ASCENDING ORDER BY X
430 * N: SIZE OF ARRAYS X,Y
431 * YP1,YPN: SPECIFIED DERIVATIVES AT X[0] AND X[N-1]; VALUES
432 * >= 1E30 SIGNAL SIGNAL SECOND DERIVATIVE ZERO
433 * Y2: OUTPUT ARRAY OF SECOND DERIVATIVES
436 double sig, p, qn, un;
440 cerr << "Out Of Memory in spline - ERROR" << endl;
448 u[0]=(3.0/(x[1]-x[0]))*((y[1]-y[0])/(x[1]-x[0])-yp1);
450 for (i=1;i<(n-1);i++) {
451 sig = (x[i]-x[i-1])/(x[i+1] - x[i-1]);
452 p = sig * y2[i-1] + 2.0;
453 y2[i] = (sig - 1.0) / p;
454 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;
461 un = (3.0 / (x[n-1] - x[n-2])) * (ypn - (y[n-1] - y[n-2])/(x[n-1] - x[n-2]));
463 y2[n-1] = (un - qn * u[n-2]) / (qn * y2[n-2] + 1.0);
465 y2[k] = y2[k] * y2[k+1] + u[k];
470 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
472 double MSIS::zeta(double zz, double zl)
474 return ((zz-zl)*(re+zl)/(re+zz));
477 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
479 double MSIS::densm(double alt, double d0, double xm, double *tz, int mn3,
480 double *zn3, double *tn3, double *tgn3, int mn2, double *zn2,
481 double *tn2, double *tgn2)
483 /* Calculate Temperature and Density Profiles for lower atmos. */
484 double xs[10] = {0,0,0,0,0,0,0,0,0,0};
485 double ys[10] = {0,0,0,0,0,0,0,0,0,0};
486 double y2out[10] = {0,0,0,0,0,0,0,0,0,0};
488 double z=0, z1=0, z2=0, t1=0, t2=0, zg=0, zgdif=0;
490 double x=0, y=0, yi=0;
491 double expl=0, gamm=0, glb=0;
503 /* STRATOSPHERE/MESOSPHERE TEMPERATURE */
514 zgdif = zeta(z2, z1);
516 /* set up spline nodes */
518 xs[k]=zeta(zn2[k],z1)/zgdif;
521 yd1=-tgn2[0] / (t1*t1) * zgdif;
522 yd2=-tgn2[1] / (t2*t2) * zgdif * (pow(((re+z2)/(re+z1)),2.0));
524 /* calculate spline coefficients */
525 spline (xs, ys, mn, yd1, yd2, y2out);
527 splint (xs, ys, y2out, mn, x, &y);
529 /* temperature at altitude */
532 /* calaculate stratosphere / mesospehere density */
533 glb = gsurf / (pow((1.0 + z1/re),2.0));
534 gamm = xm * glb * zgdif / rgas;
536 /* Integrate temperature profile */
537 splini(xs, ys, y2out, mn, x, &yi);
542 /* Density at altitude */
543 densm_tmp = densm_tmp * (t1 / *tz) * exp(-expl);
553 /* troposhere / stratosphere temperature */
563 /* set up spline nodes */
565 xs[k] = zeta(zn3[k],z1) / zgdif;
566 ys[k] = 1.0 / tn3[k];
568 yd1=-tgn3[0] / (t1*t1) * zgdif;
569 yd2=-tgn3[1] / (t2*t2) * zgdif * (pow(((re+z2)/(re+z1)),2.0));
571 /* calculate spline coefficients */
572 spline (xs, ys, mn, yd1, yd2, y2out);
574 splint (xs, ys, y2out, mn, x, &y);
576 /* temperature at altitude */
579 /* calaculate tropospheric / stratosphere density */
580 glb = gsurf / (pow((1.0 + z1/re),2.0));
581 gamm = xm * glb * zgdif / rgas;
583 /* Integrate temperature profile */
584 splini(xs, ys, y2out, mn, x, &yi);
589 /* Density at altitude */
590 densm_tmp = densm_tmp * (t1 / *tz) * exp(-expl);
598 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
600 double MSIS::densu(double alt, double dlb, double tinf, double tlb, double xm,
601 double alpha, double *tz, double zlb, double s2, int mn1,
602 double *zn1, double *tn1, double *tgn1)
604 /* Calculate Temperature and Density Profiles for MSIS models
605 * New lower thermo polynomial
607 double yd2=0.0, yd1=0.0, x=0.0, y=0.0;
609 double densu_temp=1.0;
610 double za=0.0, z=0.0, zg2=0.0, tt=0.0, ta=0.0;
611 double dta=0.0, z1=0.0, z2=0.0, t1=0.0, t2=0.0, zg=0.0, zgdif=0.0;
618 double gamma=0.0, gamm=0.0;
619 double xs[5]={0.0,0.0,0.0,0.0,0.0}, ys[5]={0.0,0.0,0.0,0.0,0.0}, y2out[5]={0.0,0.0,0.0,0.0,0.0};
620 /* joining altitudes of Bates and spline */
627 /* geopotential altitude difference from ZLB */
630 /* Bates temperature */
631 tt = tinf - (tinf - tlb) * exp(-s2*zg2);
637 /* calculate temperature below ZA
638 * temperature gradient at ZA from Bates profile */
639 dta = (tinf - ta) * s2 * pow(((re+zlb)/(re+za)),2.0);
651 /* geopotental difference from z1 */
653 zgdif = zeta(z2, z1);
654 /* set up spline nodes */
656 xs[k] = zeta(zn1[k], z1) / zgdif;
657 ys[k] = 1.0 / tn1[k];
659 /* end node derivatives */
660 yd1 = -tgn1[0] / (t1*t1) * zgdif;
661 yd2 = -tgn1[1] / (t2*t2) * zgdif * pow(((re+z2)/(re+z1)),2.0);
662 /* calculate spline coefficients */
663 spline (xs, ys, mn, yd1, yd2, y2out);
665 splint (xs, ys, y2out, mn, x, &y);
666 /* temperature at altitude */
673 /* calculate density above za */
674 glb = gsurf / pow((1.0 + zlb/re),2.0);
675 gamma = xm * glb / (s2 * rgas * tinf);
676 expl = exp(-s2 * gamma * zg2);
682 /* density at altitude */
683 densa = dlb * pow((tlb/tt),((1.0+alpha+gamma))) * expl;
688 /* calculate density below za */
689 glb = gsurf / pow((1.0 + z1/re),2.0);
690 gamm = xm * glb * zgdif / rgas;
692 /* integrate spline temperatures */
693 splini (xs, ys, y2out, mn, x, &yi);
700 /* density at altitude */
701 densu_temp = densu_temp * pow ((t1 / *tz),(1.0 + alpha)) * exp(-expl);
705 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
707 /* 3hr Magnetic activity functions */
709 double MSIS::g0(double a, double *p)
711 return (a - 4.0 + (p[25] - 1.0) * (a - 4.0 + (exp(-sqrt(p[24]*p[24]) *
712 (a - 4.0)) - 1.0) / sqrt(p[24]*p[24])));
715 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
718 double MSIS::sumex(double ex)
720 return (1.0 + (1.0 - pow(ex,19.0)) / (1.0 - ex) * pow(ex,0.5));
723 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
726 double MSIS::sg0(double ex, double *p, double *ap)
728 return (g0(ap[1],p) + (g0(ap[2],p)*ex + g0(ap[3],p)*ex*ex +
729 g0(ap[4],p)*pow(ex,3.0) + (g0(ap[5],p)*pow(ex,4.0) +
730 g0(ap[6],p)*pow(ex,12.0))*(1.0-pow(ex,8.0))/(1.0-ex)))/sumex(ex);
733 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
735 double MSIS::globe7(double *p, struct nrlmsise_input *input,
736 struct nrlmsise_flags *flags)
738 /* CALCULATE G(L) FUNCTION
739 * Upper Thermosphere Parameters */
746 double c, s, c2, c4, s2;
747 double sr = 7.2722E-5;
748 double dgtr = 1.74533E-2;
749 double dr = 1.72142E-2;
751 double cd32, cd18, cd14, cd39;
752 double p32, p18, p14, p39;
763 else if (flags->sw[9]<0)
765 xlong = input->g_long;
767 /* calculate legendre polynomials */
768 c = sin(input->g_lat * dgtr);
769 s = cos(input->g_lat * dgtr);
775 plg[0][2] = 0.5*(3.0*c2 -1.0);
776 plg[0][3] = 0.5*(5.0*c*c2-3.0*c);
777 plg[0][4] = (35.0*c4 - 30.0*c2 + 3.0)/8.0;
778 plg[0][5] = (63.0*c2*c2*c - 70.0*c2*c + 15.0*c)/8.0;
779 plg[0][6] = (11.0*c*plg[0][5] - 5.0*plg[0][4])/6.0;
780 /* plg[0][7] = (13.0*c*plg[0][6] - 6.0*plg[0][5])/7.0; */
783 plg[1][3] = 1.5*(5.0*c2-1.0)*s;
784 plg[1][4] = 2.5*(7.0*c2*c-3.0*c)*s;
785 plg[1][5] = 1.875*(21.0*c4 - 14.0*c2 +1.0)*s;
786 plg[1][6] = (11.0*c*plg[1][5]-6.0*plg[1][4])/5.0;
787 /* plg[1][7] = (13.0*c*plg[1][6]-7.0*plg[1][5])/6.0; */
788 /* plg[1][8] = (15.0*c*plg[1][7]-8.0*plg[1][6])/7.0; */
790 plg[2][3] = 15.0*s2*c;
791 plg[2][4] = 7.5*(7.0*c2 -1.0)*s2;
792 plg[2][5] = 3.0*c*plg[2][4]-2.0*plg[2][3];
793 plg[2][6] =(11.0*c*plg[2][5]-7.0*plg[2][4])/4.0;
794 plg[2][7] =(13.0*c*plg[2][6]-8.0*plg[2][5])/5.0;
795 plg[3][3] = 15.0*s2*s;
796 plg[3][4] = 105.0*s2*s*c;
797 plg[3][5] =(9.0*c*plg[3][4]-7.*plg[3][3])/2.0;
798 plg[3][6] =(11.0*c*plg[3][5]-8.*plg[3][4])/3.0;
800 if (!(((flags->sw[7]==0)&&(flags->sw[8]==0))&&(flags->sw[14]==0))) {
801 stloc = sin(hr*tloc);
802 ctloc = cos(hr*tloc);
803 s2tloc = sin(2.0*hr*tloc);
804 c2tloc = cos(2.0*hr*tloc);
805 s3tloc = sin(3.0*hr*tloc);
806 c3tloc = cos(3.0*hr*tloc);
809 cd32 = cos(dr*(input->doy-p[31]));
810 cd18 = cos(2.0*dr*(input->doy-p[17]));
811 cd14 = cos(dr*(input->doy-p[13]));
812 cd39 = cos(2.0*dr*(input->doy-p[38]));
819 df = input->f107 - input->f107A;
820 dfa = input->f107A - 150.0;
821 t[0] = p[19]*df*(1.0+p[59]*dfa) + p[20]*df*df + p[21]*dfa + p[29]*pow(dfa,2.0);
822 f1 = 1.0 + (p[47]*dfa +p[19]*df+p[20]*df*df)*flags->swc[1];
823 f2 = 1.0 + (p[49]*dfa+p[19]*df+p[20]*df*df)*flags->swc[1];
825 /* TIME INDEPENDENT */
826 t[1] = (p[1]*plg[0][2]+ p[2]*plg[0][4]+p[22]*plg[0][6]) +
827 (p[14]*plg[0][2])*dfa*flags->swc[1] +p[26]*plg[0][1];
829 /* SYMMETRICAL ANNUAL */
832 /* SYMMETRICAL SEMIANNUAL */
833 t[3] = (p[15]+p[16]*plg[0][2])*cd18;
835 /* ASYMMETRICAL ANNUAL */
836 t[4] = f1*(p[9]*plg[0][1]+p[10]*plg[0][3])*cd14;
838 /* ASYMMETRICAL SEMIANNUAL */
839 t[5] = p[37]*plg[0][1]*cd39;
844 t71 = (p[11]*plg[1][2])*cd14*flags->swc[5];
845 t72 = (p[12]*plg[1][2])*cd14*flags->swc[5];
846 t[6] = f2*((p[3]*plg[1][1] + p[4]*plg[1][3] + p[27]*plg[1][5] + t71) * \
847 ctloc + (p[6]*plg[1][1] + p[7]*plg[1][3] + p[28]*plg[1][5] \
854 t81 = (p[23]*plg[2][3]+p[35]*plg[2][5])*cd14*flags->swc[5];
855 t82 = (p[33]*plg[2][3]+p[36]*plg[2][5])*cd14*flags->swc[5];
856 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);
861 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);
864 /* magnetic activity based on daily ap */
865 if (flags->sw[9]==-1) {
869 exp1 = exp(-10800.0*sqrt(p[51]*p[51])/(1.0+p[138]*(45.0-sqrt(input->g_lat*input->g_lat))));
874 apt[0]=sg0(exp1,p,ap->a);
875 /* apt[1]=sg2(exp1,p,ap->a);
876 apt[2]=sg0(exp2,p,ap->a);
877 apt[3]=sg2(exp2,p,ap->a);
880 t[8] = apt[0]*(p[50]+p[96]*plg[0][2]+p[54]*plg[0][4]+ \
881 (p[125]*plg[0][1]+p[126]*plg[0][3]+p[127]*plg[0][5])*cd14*flags->swc[5]+ \
882 (p[128]*plg[1][1]+p[129]*plg[1][3]+p[130]*plg[1][5])*flags->swc[7]* \
883 cos(hr*(tloc-p[131])));
893 apdf = apd + (p45-1.0)*(apd + (exp(-p44 * apd) - 1.0)/p44);
895 t[8]=apdf*(p[32]+p[45]*plg[0][2]+p[34]*plg[0][4]+ \
896 (p[100]*plg[0][1]+p[101]*plg[0][3]+p[102]*plg[0][5])*cd14*flags->swc[5]+
897 (p[121]*plg[1][1]+p[122]*plg[1][3]+p[123]*plg[1][5])*flags->swc[7]*
898 cos(hr*(tloc-p[124])));
902 if ((flags->sw[10])&&(input->g_long>-1000.0)) {
906 t[10] = (1.0 + p[80]*dfa*flags->swc[1])* \
907 ((p[64]*plg[1][2]+p[65]*plg[1][4]+p[66]*plg[1][6]\
908 +p[103]*plg[1][1]+p[104]*plg[1][3]+p[105]*plg[1][5]\
909 +flags->swc[5]*(p[109]*plg[1][1]+p[110]*plg[1][3]+p[111]*plg[1][5])*cd14)* \
910 cos(dgtr*input->g_long) \
911 +(p[90]*plg[1][2]+p[91]*plg[1][4]+p[92]*plg[1][6]\
912 +p[106]*plg[1][1]+p[107]*plg[1][3]+p[108]*plg[1][5]\
913 +flags->swc[5]*(p[112]*plg[1][1]+p[113]*plg[1][3]+p[114]*plg[1][5])*cd14)* \
914 sin(dgtr*input->g_long));
917 /* ut and mixed ut, longitude */
919 t[11]=(1.0+p[95]*plg[0][1])*(1.0+p[81]*dfa*flags->swc[1])*\
920 (1.0+p[119]*plg[0][1]*flags->swc[5]*cd14)*\
921 ((p[68]*plg[0][1]+p[69]*plg[0][3]+p[70]*plg[0][5])*\
922 cos(sr*(input->sec-p[71])));
923 t[11]+=flags->swc[11]*\
924 (p[76]*plg[2][3]+p[77]*plg[2][5]+p[78]*plg[2][7])*\
925 cos(sr*(input->sec-p[79])+2.0*dgtr*input->g_long)*(1.0+p[137]*dfa*flags->swc[1]);
928 /* ut, longitude magnetic activity */
930 if (flags->sw[9]==-1) {
932 t[12]=apt[0]*flags->swc[11]*(1.+p[132]*plg[0][1])*\
933 ((p[52]*plg[1][2]+p[98]*plg[1][4]+p[67]*plg[1][6])*\
934 cos(dgtr*(input->g_long-p[97])))\
935 +apt[0]*flags->swc[11]*flags->swc[5]*\
936 (p[133]*plg[1][1]+p[134]*plg[1][3]+p[135]*plg[1][5])*\
937 cd14*cos(dgtr*(input->g_long-p[136])) \
938 +apt[0]*flags->swc[12]* \
939 (p[55]*plg[0][1]+p[56]*plg[0][3]+p[57]*plg[0][5])*\
940 cos(sr*(input->sec-p[58]));
943 t[12] = apdf*flags->swc[11]*(1.0+p[120]*plg[0][1])*\
944 ((p[60]*plg[1][2]+p[61]*plg[1][4]+p[62]*plg[1][6])*\
945 cos(dgtr*(input->g_long-p[63])))\
946 +apdf*flags->swc[11]*flags->swc[5]* \
947 (p[115]*plg[1][1]+p[116]*plg[1][3]+p[117]*plg[1][5])* \
948 cd14*cos(dgtr*(input->g_long-p[118])) \
949 + apdf*flags->swc[12]* \
950 (p[83]*plg[0][1]+p[84]*plg[0][3]+p[85]*plg[0][5])* \
951 cos(sr*(input->sec-p[75]));
956 /* parms not used: 82, 89, 99, 139-149 */
959 tinf = tinf + fabs(flags->sw[i+1])*t[i];
963 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
965 double MSIS::glob7s(double *p, struct nrlmsise_input *input,
966 struct nrlmsise_flags *flags)
968 /* VERSION OF GLOBE FOR LOWER ATMOSPHERE 10/26/99
971 double t[14] = {0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,};
973 double cd32=0.0, cd18=0.0, cd14=0.0, cd39=0.0;
974 double p32=0.0, p18=0.0, p14=0.0, p39=0.0;
976 double dr=1.72142E-2;
977 double dgtr=1.74533E-2;
978 /* confirm parameter set */
982 cerr << "Wrong parameter set for glob7s" << endl;
987 cd32 = cos(dr*(input->doy-p[31]));
988 cd18 = cos(2.0*dr*(input->doy-p[17]));
989 cd14 = cos(dr*(input->doy-p[13]));
990 cd39 = cos(2.0*dr*(input->doy-p[38]));
999 /* time independent */
1000 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];
1002 /* SYMMETRICAL ANNUAL */
1003 t[2]=(p[18]+p[47]*plg[0][2]+p[29]*plg[0][4])*cd32;
1005 /* SYMMETRICAL SEMIANNUAL */
1006 t[3]=(p[15]+p[16]*plg[0][2]+p[30]*plg[0][4])*cd18;
1008 /* ASYMMETRICAL ANNUAL */
1009 t[4]=(p[9]*plg[0][1]+p[10]*plg[0][3]+p[20]*plg[0][5])*cd14;
1011 /* ASYMMETRICAL SEMIANNUAL */
1012 t[5]=(p[37]*plg[0][1])*cd39;
1017 t71 = p[11]*plg[1][2]*cd14*flags->swc[5];
1018 t72 = p[12]*plg[1][2]*cd14*flags->swc[5];
1019 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) ;
1025 t81 = (p[23]*plg[2][3]+p[35]*plg[2][5])*cd14*flags->swc[5];
1026 t82 = (p[33]*plg[2][3]+p[36]*plg[2][5])*cd14*flags->swc[5];
1027 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);
1031 if (flags->sw[14]) {
1032 t[13] = p[39] * plg[3][3] * s3tloc + p[40] * plg[3][3] * c3tloc;
1035 /* MAGNETIC ACTIVITY */
1037 if (flags->sw[9]==1)
1038 t[8] = apdf * (p[32] + p[45] * plg[0][2] * flags->swc[2]);
1039 if (flags->sw[9]==-1)
1040 t[8]=(p[50]*apt[0] + p[96]*plg[0][2] * apt[0]*flags->swc[2]);
1044 if (!((flags->sw[10]==0) || (flags->sw[11]==0) || (input->g_long<=-1000.0))) {
1045 t[10] = (1.0 + plg[0][1]*(p[80]*flags->swc[5]*cos(dr*(input->doy-p[81]))\
1046 +p[85]*flags->swc[6]*cos(2.0*dr*(input->doy-p[86])))\
1047 +p[83]*flags->swc[3]*cos(dr*(input->doy-p[84]))\
1048 +p[87]*flags->swc[4]*cos(2.0*dr*(input->doy-p[88])))\
1049 *((p[64]*plg[1][2]+p[65]*plg[1][4]+p[66]*plg[1][6]\
1050 +p[74]*plg[1][1]+p[75]*plg[1][3]+p[76]*plg[1][5]\
1051 )*cos(dgtr*input->g_long)\
1052 +(p[90]*plg[1][2]+p[91]*plg[1][4]+p[92]*plg[1][6]\
1053 +p[77]*plg[1][1]+p[78]*plg[1][3]+p[79]*plg[1][5]\
1054 )*sin(dgtr*input->g_long));
1058 tt+=fabs(flags->sw[i+1])*t[i];
1062 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
1064 void MSIS::gtd7(struct nrlmsise_input *input, struct nrlmsise_flags *flags,
1065 struct nrlmsise_output *output)
1070 double zn3[5]={32.5,20.0,15.0,10.0,0.0};
1072 double zn2[4]={72.5,55.0,45.0,32.5};
1081 struct nrlmsise_output soutput;
1084 for (int i=0; i<9; i++) soutput.d[i] = 0.0;
1085 for (int i=0; i<2; i++) soutput.t[i] = 0.0;
1089 /* Latitude variation of gravity (none for sw[2]=0) */
1091 if (flags->sw[2]==0)
1093 glatf(xlat, &gsurf, &re);
1097 /* THERMOSPHERE / MESOSPHERE (above zn2[0]) */
1098 if (input->alt>zn2[0])
1105 gts7(input, flags, &soutput);
1108 if (flags->sw[0]) /* metric adjustment */
1112 output->t[0]=soutput.t[0];
1113 output->t[1]=soutput.t[1];
1114 if (input->alt>=zn2[0]) {
1116 output->d[i]=soutput.d[i];
1120 /* LOWER MESOSPHERE/UPPER STRATOSPHERE (between zn3[0] and zn2[0])
1121 * Temperature at nodes and gradients at end nodes
1122 * Inverse temperature a linear function of spherical harmonics
1124 meso_tgn2[0]=meso_tgn1[1];
1125 meso_tn2[0]=meso_tn1[4];
1126 meso_tn2[1]=pma[0][0]*pavgm[0]/(1.0-flags->sw[20]*glob7s(pma[0], input, flags));
1127 meso_tn2[2]=pma[1][0]*pavgm[1]/(1.0-flags->sw[20]*glob7s(pma[1], input, flags));
1128 meso_tn2[3]=pma[2][0]*pavgm[2]/(1.0-flags->sw[20]*flags->sw[22]*glob7s(pma[2], input, flags));
1129 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));
1130 meso_tn3[0]=meso_tn2[3];
1132 if (input->alt<zn3[0]) {
1133 /* LOWER STRATOSPHERE AND TROPOSPHERE (below zn3[0])
1134 * Temperature at nodes and gradients at end nodes
1135 * Inverse temperature a linear function of spherical harmonics
1137 meso_tgn3[0]=meso_tgn2[1];
1138 meso_tn3[1]=pma[3][0]*pavgm[3]/(1.0-flags->sw[22]*glob7s(pma[3], input, flags));
1139 meso_tn3[2]=pma[4][0]*pavgm[4]/(1.0-flags->sw[22]*glob7s(pma[4], input, flags));
1140 meso_tn3[3]=pma[5][0]*pavgm[5]/(1.0-flags->sw[22]*glob7s(pma[5], input, flags));
1141 meso_tn3[4]=pma[6][0]*pavgm[6]/(1.0-flags->sw[22]*glob7s(pma[6], input, flags));
1142 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));
1145 /* LINEAR TRANSITION TO FULL MIXING BELOW zn2[0] */
1148 if (input->alt>zmix)
1149 dmc = 1.0 - (zn2[0]-input->alt)/(zn2[0] - zmix);
1152 /**** N2 density ****/
1153 dmr=soutput.d[2] / dm28m - 1.0;
1154 output->d[2]=densm(input->alt,dm28m,xmm, &tz, mn3, zn3, meso_tn3, meso_tgn3, mn2, zn2, meso_tn2, meso_tgn2);
1155 output->d[2]=output->d[2] * (1.0 + dmr*dmc);
1157 /**** HE density ****/
1158 dmr = soutput.d[0] / (dz28 * pdm[0][1]) - 1.0;
1159 output->d[0] = output->d[2] * pdm[0][1] * (1.0 + dmr*dmc);
1161 /**** O density ****/
1165 /**** O2 density ****/
1166 dmr = soutput.d[3] / (dz28 * pdm[3][1]) - 1.0;
1167 output->d[3] = output->d[2] * pdm[3][1] * (1.0 + dmr*dmc);
1169 /**** AR density ***/
1170 dmr = soutput.d[4] / (dz28 * pdm[4][1]) - 1.0;
1171 output->d[4] = output->d[2] * pdm[4][1] * (1.0 + dmr*dmc);
1173 /**** Hydrogen density ****/
1176 /**** Atomic nitrogen density ****/
1179 /**** Total mass density */
1180 output->d[5] = 1.66E-24 * (4.0 * output->d[0] + 16.0 * output->d[1] +
1181 28.0 * output->d[2] + 32.0 * output->d[3] + 40.0 * output->d[4]
1182 + output->d[6] + 14.0 * output->d[7]);
1185 output->d[5]=output->d[5]/1000;
1187 /**** temperature at altitude ****/
1188 dd = densm(input->alt, 1.0, 0, &tz, mn3, zn3, meso_tn3, meso_tgn3,
1189 mn2, zn2, meso_tn2, meso_tgn2);
1194 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
1196 void MSIS::gtd7d(struct nrlmsise_input *input, struct nrlmsise_flags *flags,
1197 struct nrlmsise_output *output)
1199 gtd7(input, flags, output);
1200 output->d[5] = 1.66E-24 * (4.0 * output->d[0] + 16.0 * output->d[1] +
1201 28.0 * output->d[2] + 32.0 * output->d[3] + 40.0 * output->d[4]
1202 + output->d[6] + 14.0 * output->d[7] + 16.0 * output->d[8]);
1204 output->d[5]=output->d[5]/1000;
1207 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
1209 void MSIS::ghp7(struct nrlmsise_input *input, struct nrlmsise_flags *flags,
1210 struct nrlmsise_output *output, double press)
1212 double bm = 1.3806E-19;
1213 double rgas = 831.4;
1214 double test = 0.00043;
1221 double xn, xm, diff;
1227 zi = 18.06 * (3.00 - pl);
1228 else if ((pl>0.075) && (pl<=2.5))
1229 zi = 14.98 * (3.08 - pl);
1230 else if ((pl>-1) && (pl<=0.075))
1231 zi = 17.80 * (2.72 - pl);
1232 else if ((pl>-2) && (pl<=-1))
1233 zi = 14.28 * (3.64 - pl);
1234 else if ((pl>-4) && (pl<=-2))
1235 zi = 12.72 * (4.32 -pl);
1237 zi = 25.3 * (0.11 - pl);
1238 cl = input->g_lat/90.0;
1241 cd = (1.0 - (double) input->doy) / 91.25;
1243 cd = ((double) input->doy) / 91.25 - 3.0;
1245 if ((pl > -1.11) && (pl<=-0.23))
1248 ca = (2.79 - pl) / (2.79 + 0.23);
1249 if ((pl <= -1.11) && (pl>-3))
1250 ca = (-2.93 - pl)/(-2.93 + 1.11);
1251 z = zi - 4.87 * cl * cd * ca - 1.64 * cl2 * ca + 0.31 * ca * cl;
1253 z = 22.0 * pow((pl + 4.0),2.0) + 110.0;
1255 /* iteration loop */
1260 gtd7(input, flags, output);
1262 xn = output->d[0] + output->d[1] + output->d[2] + output->d[3] + output->d[4] + output->d[6] + output->d[7];
1263 p = bm * xn * output->t[1];
1266 diff = pl - log10(p);
1267 if (sqrt(diff*diff)<test)
1270 cerr << "ERROR: ghp7 not converging for press " << press << ", diff " << diff << endl;
1273 xm = output->d[5] / xn / 1.66E-24;
1276 g = gsurf / (pow((1.0 + z/re),2.0));
1277 sh = rgas * output->t[1] / (xm * g);
1279 /* new altitude estimate using scale height */
1281 z = z - sh * diff * 2.302;
1287 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
1289 void MSIS::gts7(struct nrlmsise_input *input, struct nrlmsise_flags *flags,
1290 struct nrlmsise_output *output)
1292 /* Thermospheric portion of NRLMSISE-00
1293 * See GTD7 for more extensive comments
1298 double ddum=0.0, z=0.0;
1299 double zn1[5] = {120.0, 110.0, 100.0, 90.0, 72.5};
1304 double s=0.0, z0=0.0, t0=0.0, tr12=0.0;
1305 double db01=0.0, db04=0.0, db14=0.0, db16=0.0, db28=0.0, db32=0.0, db40=0.0, db48=0.0;
1306 double zh28=0.0, zh04=0.0, zh16=0.0, zh32=0.0, zh40=0.0, zh01=0.0, zh14=0.0;
1307 double zhm28=0.0, zhm04=0.0, zhm16=0.0, zhm32=0.0, zhm40=0.0, zhm01=0.0, zhm14=0.0;
1309 double b28=0.0, b04=0.0, b16=0.0, b32=0.0, b40=0.0, b01=0.0, b14=0.0;
1311 double g28=0.0, g4=0.0, g16=0.0, g32=0.0, g40=0.0, g1=0.0, g14=0.0;
1312 double zhf=0.0, xmm=0.0;
1313 double zc04=0.0, zc16=0.0, zc32=0.0, zc40=0.0, zc01=0.0, zc14=0.0;
1314 double hc04=0.0, hc16=0.0, hc32=0.0, hc40=0.0, hc01=0.0, hc14=0.0;
1315 double hcc16=0.0, hcc32=0.0, hcc01=0.0, hcc14=0.0;
1316 double zcc16=0.0, zcc32=0.0, zcc01=0.0, zcc14=0.0;
1317 double rc16=0.0, rc32=0.0, rc01=0.0, rc14=0.0;
1319 double g16h=0.0, db16h=0.0, tho=0.0, zsht=0.0, zmho=0.0, zsho=0.0;
1320 double dgtr=1.74533E-2;
1321 double dr=1.72142E-2;
1322 double alpha[9]={-0.38, 0.0, 0.0, 0.0, 0.17, 0.0, -0.38, 0.0, 0.0};
1323 double altl[8]={200.0, 300.0, 160.0, 250.0, 240.0, 450.0, 320.0, 450.0};
1325 double hc216=0.0, hcc232=0.0;
1331 /* TINF VARIATIONS NOT IMPORTANT BELOW ZA OR ZN1(1) */
1332 if (input->alt>zn1[0])
1333 tinf = ptm[0]*pt[0] * \
1334 (1.0+flags->sw[16]*globe7(pt,input,flags));
1336 tinf = ptm[0]*pt[0];
1339 /* GRADIENT VARIATIONS NOT IMPORTANT BELOW ZN1(5) */
1340 if (input->alt>zn1[4])
1341 g0 = ptm[3]*ps[0] * \
1342 (1.0+flags->sw[19]*globe7(ps,input,flags));
1345 tlb = ptm[1] * (1.0 + flags->sw[17]*globe7(pd[3],input,flags))*pd[3][0];
1346 s = g0 / (tinf - tlb);
1348 /* Lower thermosphere temp variations not significant for
1349 * density above 300 km */
1350 if (input->alt<300.0) {
1351 meso_tn1[1]=ptm[6]*ptl[0][0]/(1.0-flags->sw[18]*glob7s(ptl[0], input, flags));
1352 meso_tn1[2]=ptm[2]*ptl[1][0]/(1.0-flags->sw[18]*glob7s(ptl[1], input, flags));
1353 meso_tn1[3]=ptm[7]*ptl[2][0]/(1.0-flags->sw[18]*glob7s(ptl[2], input, flags));
1354 meso_tn1[4]=ptm[4]*ptl[3][0]/(1.0-flags->sw[18]*flags->sw[20]*glob7s(ptl[3], input, flags));
1355 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));
1357 meso_tn1[1]=ptm[6]*ptl[0][0];
1358 meso_tn1[2]=ptm[2]*ptl[1][0];
1359 meso_tn1[3]=ptm[7]*ptl[2][0];
1360 meso_tn1[4]=ptm[4]*ptl[3][0];
1361 meso_tgn1[1]=ptm[8]*pma[8][0]*meso_tn1[4]*meso_tn1[4]/(pow((ptm[4]*ptl[3][0]),2.0));
1368 /* N2 variation factor at Zlb */
1369 g28=flags->sw[21]*globe7(pd[2], input, flags);
1371 /* VARIATION OF TURBOPAUSE HEIGHT */
1372 zhf=pdl[1][24]*(1.0+flags->sw[5]*pdl[0][24]*sin(dgtr*input->g_lat)*cos(dr*(input->doy-pt[13])));
1378 /**** N2 DENSITY ****/
1380 /* Diffusive density at Zlb */
1381 db28 = pdm[2][0]*exp(g28)*pd[2][0];
1382 /* Diffusive density at Alt */
1383 output->d[2]=densu(z,db28,tinf,tlb,28.0,alpha[2],&output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1387 zhm28=pdm[2][3]*pdl[1][5];
1389 /* Mixed density at Zlb */
1390 b28=densu(zh28,db28,tinf,tlb,xmd,(alpha[2]-1.0),&tz,ptm[5],s,mn1, zn1,meso_tn1,meso_tgn1);
1391 if ((flags->sw[15])&&(z<=altl[2])) {
1392 /* Mixed density at Alt */
1393 dm28=densu(z,b28,tinf,tlb,xmm,alpha[2],&tz,ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1394 /* Net density at Alt */
1395 output->d[2]=dnet(output->d[2],dm28,zhm28,xmm,28.0);
1399 /**** HE DENSITY ****/
1401 /* Density variation factor at Zlb */
1402 g4 = flags->sw[21]*globe7(pd[0], input, flags);
1403 /* Diffusive density at Zlb */
1404 db04 = pdm[0][0]*exp(g4)*pd[0][0];
1405 /* Diffusive density at Alt */
1406 output->d[0]=densu(z,db04,tinf,tlb, 4.,alpha[0],&output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1408 if ((flags->sw[15]) && (z<altl[0])) {
1411 /* Mixed density at Zlb */
1412 b04=densu(zh04,db04,tinf,tlb,4.-xmm,alpha[0]-1.,&output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1413 /* Mixed density at Alt */
1414 dm04=densu(z,b04,tinf,tlb,xmm,0.,&output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1416 /* Net density at Alt */
1417 output->d[0]=dnet(output->d[0],dm04,zhm04,xmm,4.);
1418 /* Correction to specified mixing ratio at ground */
1419 rl=log(b28*pdm[0][1]/b04);
1420 zc04=pdm[0][4]*pdl[1][0];
1421 hc04=pdm[0][5]*pdl[1][1];
1422 /* Net density corrected at Alt */
1423 output->d[0]=output->d[0]*ccor(z,rl,hc04,zc04);
1427 /**** O DENSITY ****/
1429 /* Density variation factor at Zlb */
1430 g16= flags->sw[21]*globe7(pd[1],input,flags);
1431 /* Diffusive density at Zlb */
1432 db16 = pdm[1][0]*exp(g16)*pd[1][0];
1433 /* Diffusive density at Alt */
1434 output->d[1]=densu(z,db16,tinf,tlb, 16.,alpha[1],&output->t[1],ptm[5],s,mn1, zn1,meso_tn1,meso_tgn1);
1436 if ((flags->sw[15]) && (z<=altl[1])) {
1439 /* Mixed density at Zlb */
1440 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);
1441 /* Mixed density at Alt */
1442 dm16=densu(z,b16,tinf,tlb,xmm,0.,&output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1444 /* Net density at Alt */
1445 output->d[1]=dnet(output->d[1],dm16,zhm16,xmm,16.);
1446 rl=pdm[1][1]*pdl[1][16]*(1.0+flags->sw[1]*pdl[0][23]*(input->f107A-150.0));
1447 hc16=pdm[1][5]*pdl[1][3];
1448 zc16=pdm[1][4]*pdl[1][2];
1449 hc216=pdm[1][5]*pdl[1][4];
1450 output->d[1]=output->d[1]*ccor2(z,rl,hc16,zc16,hc216);
1451 /* Chemistry correction */
1452 hcc16=pdm[1][7]*pdl[1][13];
1453 zcc16=pdm[1][6]*pdl[1][12];
1454 rc16=pdm[1][3]*pdl[1][14];
1455 /* Net density corrected at Alt */
1456 output->d[1]=output->d[1]*ccor(z,rc16,hcc16,zcc16);
1460 /**** O2 DENSITY ****/
1462 /* Density variation factor at Zlb */
1463 g32= flags->sw[21]*globe7(pd[4], input, flags);
1464 /* Diffusive density at Zlb */
1465 db32 = pdm[3][0]*exp(g32)*pd[4][0];
1466 /* Diffusive density at Alt */
1467 output->d[3]=densu(z,db32,tinf,tlb, 32.,alpha[3],&output->t[1],ptm[5],s,mn1, zn1,meso_tn1,meso_tgn1);
1469 if (flags->sw[15]) {
1473 /* Mixed density at Zlb */
1474 b32=densu(zh32,db32,tinf,tlb,32.-xmm,alpha[3]-1., &output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1475 /* Mixed density at Alt */
1476 dm32=densu(z,b32,tinf,tlb,xmm,0.,&output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1478 /* Net density at Alt */
1479 output->d[3]=dnet(output->d[3],dm32,zhm32,xmm,32.);
1480 /* Correction to specified mixing ratio at ground */
1481 rl=log(b28*pdm[3][1]/b32);
1482 hc32=pdm[3][5]*pdl[1][7];
1483 zc32=pdm[3][4]*pdl[1][6];
1484 output->d[3]=output->d[3]*ccor(z,rl,hc32,zc32);
1486 /* Correction for general departure from diffusive equilibrium above Zlb */
1487 hcc32=pdm[3][7]*pdl[1][22];
1488 hcc232=pdm[3][7]*pdl[0][22];
1489 zcc32=pdm[3][6]*pdl[1][21];
1490 rc32=pdm[3][3]*pdl[1][23]*(1.+flags->sw[1]*pdl[0][23]*(input->f107A-150.));
1491 /* Net density corrected at Alt */
1492 output->d[3]=output->d[3]*ccor2(z,rc32,hcc32,zcc32,hcc232);
1496 /**** AR DENSITY ****/
1498 /* Density variation factor at Zlb */
1499 g40= flags->sw[21]*globe7(pd[5],input,flags);
1500 /* Diffusive density at Zlb */
1501 db40 = pdm[4][0]*exp(g40)*pd[5][0];
1502 /* Diffusive density at Alt */
1503 output->d[4]=densu(z,db40,tinf,tlb, 40.,alpha[4],&output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1505 if ((flags->sw[15]) && (z<=altl[4])) {
1508 /* Mixed density at Zlb */
1509 b40=densu(zh40,db40,tinf,tlb,40.-xmm,alpha[4]-1.,&output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1510 /* Mixed density at Alt */
1511 dm40=densu(z,b40,tinf,tlb,xmm,0.,&output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1513 /* Net density at Alt */
1514 output->d[4]=dnet(output->d[4],dm40,zhm40,xmm,40.);
1515 /* Correction to specified mixing ratio at ground */
1516 rl=log(b28*pdm[4][1]/b40);
1517 hc40=pdm[4][5]*pdl[1][9];
1518 zc40=pdm[4][4]*pdl[1][8];
1519 /* Net density corrected at Alt */
1520 output->d[4]=output->d[4]*ccor(z,rl,hc40,zc40);
1524 /**** HYDROGEN DENSITY ****/
1526 /* Density variation factor at Zlb */
1527 g1 = flags->sw[21]*globe7(pd[6], input, flags);
1528 /* Diffusive density at Zlb */
1529 db01 = pdm[5][0]*exp(g1)*pd[6][0];
1530 /* Diffusive density at Alt */
1531 output->d[6]=densu(z,db01,tinf,tlb,1.,alpha[6],&output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1533 if ((flags->sw[15]) && (z<=altl[6])) {
1536 /* Mixed density at Zlb */
1537 b01=densu(zh01,db01,tinf,tlb,1.-xmm,alpha[6]-1., &output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1538 /* Mixed density at Alt */
1539 dm01=densu(z,b01,tinf,tlb,xmm,0.,&output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1541 /* Net density at Alt */
1542 output->d[6]=dnet(output->d[6],dm01,zhm01,xmm,1.);
1543 /* Correction to specified mixing ratio at ground */
1544 rl=log(b28*pdm[5][1]*sqrt(pdl[1][17]*pdl[1][17])/b01);
1545 hc01=pdm[5][5]*pdl[1][11];
1546 zc01=pdm[5][4]*pdl[1][10];
1547 output->d[6]=output->d[6]*ccor(z,rl,hc01,zc01);
1548 /* Chemistry correction */
1549 hcc01=pdm[5][7]*pdl[1][19];
1550 zcc01=pdm[5][6]*pdl[1][18];
1551 rc01=pdm[5][3]*pdl[1][20];
1552 /* Net density corrected at Alt */
1553 output->d[6]=output->d[6]*ccor(z,rc01,hcc01,zcc01);
1557 /**** ATOMIC NITROGEN DENSITY ****/
1559 /* Density variation factor at Zlb */
1560 g14 = flags->sw[21]*globe7(pd[7],input,flags);
1561 /* Diffusive density at Zlb */
1562 db14 = pdm[6][0]*exp(g14)*pd[7][0];
1563 /* Diffusive density at Alt */
1564 output->d[7]=densu(z,db14,tinf,tlb,14.,alpha[7],&output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1566 if ((flags->sw[15]) && (z<=altl[7])) {
1569 /* Mixed density at Zlb */
1570 b14=densu(zh14,db14,tinf,tlb,14.-xmm,alpha[7]-1., &output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1571 /* Mixed density at Alt */
1572 dm14=densu(z,b14,tinf,tlb,xmm,0.,&output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1574 /* Net density at Alt */
1575 output->d[7]=dnet(output->d[7],dm14,zhm14,xmm,14.);
1576 /* Correction to specified mixing ratio at ground */
1577 rl=log(b28*pdm[6][1]*sqrt(pdl[0][2]*pdl[0][2])/b14);
1578 hc14=pdm[6][5]*pdl[0][1];
1579 zc14=pdm[6][4]*pdl[0][0];
1580 output->d[7]=output->d[7]*ccor(z,rl,hc14,zc14);
1581 /* Chemistry correction */
1582 hcc14=pdm[6][7]*pdl[0][4];
1583 zcc14=pdm[6][6]*pdl[0][3];
1584 rc14=pdm[6][3]*pdl[0][5];
1585 /* Net density corrected at Alt */
1586 output->d[7]=output->d[7]*ccor(z,rc14,hcc14,zcc14);
1590 /**** Anomalous OXYGEN DENSITY ****/
1592 g16h = flags->sw[21]*globe7(pd[8],input,flags);
1593 db16h = pdm[7][0]*exp(g16h)*pd[8][0];
1594 tho = pdm[7][9]*pdl[0][6];
1595 dd=densu(z,db16h,tho,tho,16.,alpha[8],&output->t[1],ptm[5],s,mn1, zn1,meso_tn1,meso_tgn1);
1598 zsho=scalh(zmho,16.0,tho);
1599 output->d[8]=dd*exp(-zsht/zsho*(exp(-(z-zmho)/zsht)-1.));
1602 /* total mass density */
1603 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]);
1604 db48=1.66E-24*(4.0*db04+16.0*db16+28.0*db28+32.0*db32+40.0*db40+db01+14.0*db14);
1609 z = sqrt(input->alt*input->alt);
1610 ddum = densu(z,1.0, tinf, tlb, 0.0, 0.0, &output->t[1], ptm[5], s, mn1, zn1, meso_tn1, meso_tgn1);
1613 output->d[i]=output->d[i]*1.0E6;
1614 output->d[5]=output->d[5]/1000;
1619 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
1620 // The bitmasked value choices are as follows:
1621 // unset: In this case (the default) JSBSim would only print
1622 // out the normally expected messages, essentially echoing
1623 // the config files as they are read. If the environment
1624 // variable is not set, debug_lvl is set to 1 internally
1625 // 0: This requests JSBSim not to output any messages
1627 // 1: This value explicity requests the normal JSBSim
1629 // 2: This value asks for a message to be printed out when
1630 // a class is instantiated
1631 // 4: When this value is set, a message is displayed when a
1632 // FGModel object executes its Run() method
1633 // 8: When this value is set, various runtime state variables
1634 // are printed out periodically
1635 // 16: When set various parameters are sanity checked and
1636 // a message is printed out when they go out of bounds
1638 void MSIS::Debug(int from)
1640 if (debug_lvl <= 0) return;
1642 if (debug_lvl & 1) { // Standard console startup message output
1643 if (from == 0) { // Constructor
1646 if (debug_lvl & 2 ) { // Instantiation/Destruction notification
1647 if (from == 0) cout << "Instantiated: MSIS" << endl;
1648 if (from == 1) cout << "Destroyed: MSIS" << endl;
1650 if (debug_lvl & 4 ) { // Run() method entry print for FGModel-derived objects
1652 if (debug_lvl & 8 ) { // Runtime state variables
1654 if (debug_lvl & 16) { // Sanity checking
1656 if (debug_lvl & 32) { // Turbulence
1658 if (debug_lvl & 64) {
1659 if (from == 0) { // Constructor
1660 cout << IdSrc << endl;
1661 cout << IdHdr << endl;
1668 } // namespace JSBSim