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 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%*/
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 1.18 2011/06/21 13:54:40 jberndt 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;
166 double h = FDMExec->GetPropagate()->GetAltitudeASL();
168 //do temp, pressure, and density first
169 // if (!useExternal) {
170 // get sea-level values
171 Calculate(FDMExec->GetAuxiliary()->GetDayOfYear(),
172 FDMExec->GetAuxiliary()->GetSecondsInDay(),
174 FDMExec->GetPropagate()->GetLocation().GetLatitudeDeg(),
175 FDMExec->GetPropagate()->GetLocation().GetLongitudeDeg());
176 SLtemperature = output.t[1] * 1.8;
177 SLdensity = output.d[5] * 1.940321;
178 SLpressure = 1716.488 * SLdensity * SLtemperature;
179 SLsoundspeed = sqrt(2403.0832 * SLtemperature);
180 rSLtemperature = 1.0/SLtemperature;
181 rSLpressure = 1.0/SLpressure;
182 rSLdensity = 1.0/SLdensity;
183 rSLsoundspeed = 1.0/SLsoundspeed;
185 // get at-altitude values
186 Calculate(FDMExec->GetAuxiliary()->GetDayOfYear(),
187 FDMExec->GetAuxiliary()->GetSecondsInDay(),
189 FDMExec->GetPropagate()->GetLocation().GetLatitudeDeg(),
190 FDMExec->GetPropagate()->GetLocation().GetLongitudeDeg());
191 // intTemperature = output.t[1] * 1.8;
192 // intDensity = output.d[5] * 1.940321;
193 // intPressure = 1716.488 * intDensity * intTemperature;
194 //cout << "T=" << intTemperature << " D=" << intDensity << " P=";
195 //cout << intPressure << " a=" << soundspeed << endl;
205 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
207 void MSIS::Calculate(int day, double sec, double alt, double lat, double lon)
212 input.alt = alt / 3281; //feet to kilometers
216 input.lst = (sec/3600) + (lon/15);
217 if (input.lst > 24.0) input.lst -= 24.0;
218 if (input.lst < 0.0) input.lst = 24 - input.lst;
220 gtd7d(&input, &flags, &output);
223 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
226 void MSIS::UseExternal(void){
227 // do nothing, external control not allowed
231 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
234 void MSIS::tselec(struct nrlmsise_flags *flags)
239 if (flags->switches[i]==1)
243 if (flags->switches[i]>0)
248 flags->sw[i]=flags->switches[i];
249 flags->swc[i]=flags->switches[i];
255 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
257 void MSIS::glatf(double lat, double *gv, double *reff)
259 double dgtr = 1.74533E-2;
261 c2 = cos(2.0*dgtr*lat);
262 *gv = 980.616 * (1.0 - 0.0026373 * c2);
263 *reff = 2.0 * (*gv) / (3.085462E-6 + 2.27E-9 * c2) * 1.0E-5;
266 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
268 double MSIS::ccor(double alt, double r, double h1, double zh)
270 /* CHEMISTRY/DISSOCIATION CORRECTION FOR MSIS MODELS
273 * H1 - transition scale length
274 * ZH - altitude of 1/2 R
288 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
290 double MSIS::ccor2(double alt, double r, double h1, double zh, double h2)
292 /* CHEMISTRY/DISSOCIATION CORRECTION FOR MSIS MODELS
295 * H1 - transition scale length
296 * ZH - altitude of 1/2 R
297 * H2 - transition scale length #2 ?
302 e1 = (alt - zh) / h1;
303 e2 = (alt - zh) / h2;
304 if ((e1 > 70) || (e2 > 70))
306 if ((e1 < -70) && (e2 < -70))
310 ccor2v = r / (1.0 + 0.5 * (ex1 + ex2));
314 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
316 double MSIS::scalh(double alt, double xm, double temp)
320 g = gsurf / (pow((1.0 + alt/re),2.0));
321 g = rgas * temp / (g * xm);
325 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
327 double MSIS::dnet (double dd, double dm, double zhm, double xmm, double xm)
329 /* TURBOPAUSE CORRECTION FOR MSIS MODELS
331 * DD - diffusive density
332 * DM - full mixed density
333 * ZHM - transition scale length
334 * XMM - full mixed molecular weight
335 * XM - species molecular weight
336 * DNET - combined density
341 if (!((dm>0) && (dd>0))) {
342 cerr << "dnet log error " << dm << ' ' << dd << ' ' << xm << ' ' << endl;
343 if ((dd==0) && (dm==0))
350 ylog = a * log(dm/dd);
355 a = dd*pow((1.0 + exp(ylog)),(1.0/a));
359 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
361 void MSIS::splini (double *xa, double *ya, double *y2a, int n, double x, double *y)
363 /* INTEGRATE CUBIC SPLINE FUNCTION FROM XA(1) TO X
364 * XA,YA: ARRAYS OF TABULATED FUNCTION IN ASCENDING ORDER BY X
365 * Y2A: ARRAY OF SECOND DERIVATIVES
366 * N: SIZE OF ARRAYS XA,YA,Y2A
367 * X: ABSCISSA ENDPOINT FOR INTEGRATION
373 double xx=0.0, h=0.0, a=0.0, b=0.0, a2=0.0, b2=0.0;
374 while ((x>xa[klo]) && (khi<n)) {
382 h = xa[khi] - xa[klo];
383 a = (xa[khi] - xx)/h;
384 b = (xx - xa[klo])/h;
387 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;
394 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
396 void MSIS::splint (double *xa, double *ya, double *y2a, int n, double x, double *y)
398 /* CALCULATE CUBIC SPLINE INTERP VALUE
399 * ADAPTED FROM NUMERICAL RECIPES BY PRESS ET AL.
400 * XA,YA: ARRAYS OF TABULATED FUNCTION IN ASCENDING ORDER BY X
401 * Y2A: ARRAY OF SECOND DERIVATIVES
402 * N: SIZE OF ARRAYS XA,YA,Y2A
403 * X: ABSCISSA FOR INTERPOLATION
411 while ((khi-klo)>1) {
418 h = xa[khi] - xa[klo];
420 cerr << "bad XA input to splint" << endl;
423 yi = a * ya[klo] + b * ya[khi] + ((a*a*a - a) * y2a[klo] + (b*b*b - b) * y2a[khi]) * h * h/6.0;
427 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
429 void MSIS::spline (double *x, double *y, int n, double yp1, double ypn, double *y2)
431 /* CALCULATE 2ND DERIVATIVES OF CUBIC SPLINE INTERP FUNCTION
432 * ADAPTED FROM NUMERICAL RECIPES BY PRESS ET AL
433 * X,Y: ARRAYS OF TABULATED FUNCTION IN ASCENDING ORDER BY X
434 * N: SIZE OF ARRAYS X,Y
435 * YP1,YPN: SPECIFIED DERIVATIVES AT X[0] AND X[N-1]; VALUES
436 * >= 1E30 SIGNAL SIGNAL SECOND DERIVATIVE ZERO
437 * Y2: OUTPUT ARRAY OF SECOND DERIVATIVES
440 double sig, p, qn, un;
444 cerr << "Out Of Memory in spline - ERROR" << endl;
452 u[0]=(3.0/(x[1]-x[0]))*((y[1]-y[0])/(x[1]-x[0])-yp1);
454 for (i=1;i<(n-1);i++) {
455 sig = (x[i]-x[i-1])/(x[i+1] - x[i-1]);
456 p = sig * y2[i-1] + 2.0;
457 y2[i] = (sig - 1.0) / p;
458 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;
465 un = (3.0 / (x[n-1] - x[n-2])) * (ypn - (y[n-1] - y[n-2])/(x[n-1] - x[n-2]));
467 y2[n-1] = (un - qn * u[n-2]) / (qn * y2[n-2] + 1.0);
469 y2[k] = y2[k] * y2[k+1] + u[k];
474 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
476 double MSIS::zeta(double zz, double zl)
478 return ((zz-zl)*(re+zl)/(re+zz));
481 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
483 double MSIS::densm(double alt, double d0, double xm, double *tz, int mn3,
484 double *zn3, double *tn3, double *tgn3, int mn2, double *zn2,
485 double *tn2, double *tgn2)
487 /* Calculate Temperature and Density Profiles for lower atmos. */
488 double xs[10] = {0,0,0,0,0,0,0,0,0,0};
489 double ys[10] = {0,0,0,0,0,0,0,0,0,0};
490 double y2out[10] = {0,0,0,0,0,0,0,0,0,0};
492 double z=0, z1=0, z2=0, t1=0, t2=0, zg=0, zgdif=0;
494 double x=0, y=0, yi=0;
495 double expl=0, gamm=0, glb=0;
507 /* STRATOSPHERE/MESOSPHERE TEMPERATURE */
518 zgdif = zeta(z2, z1);
520 /* set up spline nodes */
522 xs[k]=zeta(zn2[k],z1)/zgdif;
525 yd1=-tgn2[0] / (t1*t1) * zgdif;
526 yd2=-tgn2[1] / (t2*t2) * zgdif * (pow(((re+z2)/(re+z1)),2.0));
528 /* calculate spline coefficients */
529 spline (xs, ys, mn, yd1, yd2, y2out);
531 splint (xs, ys, y2out, mn, x, &y);
533 /* temperature at altitude */
536 /* calaculate stratosphere / mesospehere density */
537 glb = gsurf / (pow((1.0 + z1/re),2.0));
538 gamm = xm * glb * zgdif / rgas;
540 /* Integrate temperature profile */
541 splini(xs, ys, y2out, mn, x, &yi);
546 /* Density at altitude */
547 densm_tmp = densm_tmp * (t1 / *tz) * exp(-expl);
557 /* troposhere / stratosphere temperature */
567 /* set up spline nodes */
569 xs[k] = zeta(zn3[k],z1) / zgdif;
570 ys[k] = 1.0 / tn3[k];
572 yd1=-tgn3[0] / (t1*t1) * zgdif;
573 yd2=-tgn3[1] / (t2*t2) * zgdif * (pow(((re+z2)/(re+z1)),2.0));
575 /* calculate spline coefficients */
576 spline (xs, ys, mn, yd1, yd2, y2out);
578 splint (xs, ys, y2out, mn, x, &y);
580 /* temperature at altitude */
583 /* calaculate tropospheric / stratosphere density */
584 glb = gsurf / (pow((1.0 + z1/re),2.0));
585 gamm = xm * glb * zgdif / rgas;
587 /* Integrate temperature profile */
588 splini(xs, ys, y2out, mn, x, &yi);
593 /* Density at altitude */
594 densm_tmp = densm_tmp * (t1 / *tz) * exp(-expl);
602 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
604 double MSIS::densu(double alt, double dlb, double tinf, double tlb, double xm,
605 double alpha, double *tz, double zlb, double s2, int mn1,
606 double *zn1, double *tn1, double *tgn1)
608 /* Calculate Temperature and Density Profiles for MSIS models
609 * New lower thermo polynomial
611 double yd2=0.0, yd1=0.0, x=0.0, y=0.0;
613 double densu_temp=1.0;
614 double za=0.0, z=0.0, zg2=0.0, tt=0.0, ta=0.0;
615 double dta=0.0, z1=0.0, z2=0.0, t1=0.0, t2=0.0, zg=0.0, zgdif=0.0;
622 double gamma=0.0, gamm=0.0;
623 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};
624 /* joining altitudes of Bates and spline */
631 /* geopotential altitude difference from ZLB */
634 /* Bates temperature */
635 tt = tinf - (tinf - tlb) * exp(-s2*zg2);
641 /* calculate temperature below ZA
642 * temperature gradient at ZA from Bates profile */
643 dta = (tinf - ta) * s2 * pow(((re+zlb)/(re+za)),2.0);
655 /* geopotental difference from z1 */
657 zgdif = zeta(z2, z1);
658 /* set up spline nodes */
660 xs[k] = zeta(zn1[k], z1) / zgdif;
661 ys[k] = 1.0 / tn1[k];
663 /* end node derivatives */
664 yd1 = -tgn1[0] / (t1*t1) * zgdif;
665 yd2 = -tgn1[1] / (t2*t2) * zgdif * pow(((re+z2)/(re+z1)),2.0);
666 /* calculate spline coefficients */
667 spline (xs, ys, mn, yd1, yd2, y2out);
669 splint (xs, ys, y2out, mn, x, &y);
670 /* temperature at altitude */
677 /* calculate density above za */
678 glb = gsurf / pow((1.0 + zlb/re),2.0);
679 gamma = xm * glb / (s2 * rgas * tinf);
680 expl = exp(-s2 * gamma * zg2);
686 /* density at altitude */
687 densa = dlb * pow((tlb/tt),((1.0+alpha+gamma))) * expl;
692 /* calculate density below za */
693 glb = gsurf / pow((1.0 + z1/re),2.0);
694 gamm = xm * glb * zgdif / rgas;
696 /* integrate spline temperatures */
697 splini (xs, ys, y2out, mn, x, &yi);
704 /* density at altitude */
705 densu_temp = densu_temp * pow ((t1 / *tz),(1.0 + alpha)) * exp(-expl);
709 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
711 /* 3hr Magnetic activity functions */
713 double MSIS::g0(double a, double *p)
715 return (a - 4.0 + (p[25] - 1.0) * (a - 4.0 + (exp(-sqrt(p[24]*p[24]) *
716 (a - 4.0)) - 1.0) / sqrt(p[24]*p[24])));
719 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
722 double MSIS::sumex(double ex)
724 return (1.0 + (1.0 - pow(ex,19.0)) / (1.0 - ex) * pow(ex,0.5));
727 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
730 double MSIS::sg0(double ex, double *p, double *ap)
732 return (g0(ap[1],p) + (g0(ap[2],p)*ex + g0(ap[3],p)*ex*ex +
733 g0(ap[4],p)*pow(ex,3.0) + (g0(ap[5],p)*pow(ex,4.0) +
734 g0(ap[6],p)*pow(ex,12.0))*(1.0-pow(ex,8.0))/(1.0-ex)))/sumex(ex);
737 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
739 double MSIS::globe7(double *p, struct nrlmsise_input *input,
740 struct nrlmsise_flags *flags)
742 /* CALCULATE G(L) FUNCTION
743 * Upper Thermosphere Parameters */
750 double c, s, c2, c4, s2;
751 double sr = 7.2722E-5;
752 double dgtr = 1.74533E-2;
753 double dr = 1.72142E-2;
755 double cd32, cd18, cd14, cd39;
756 double p32, p18, p14, p39;
767 else if (flags->sw[9]<0)
769 xlong = input->g_long;
771 /* calculate legendre polynomials */
772 c = sin(input->g_lat * dgtr);
773 s = cos(input->g_lat * dgtr);
779 plg[0][2] = 0.5*(3.0*c2 -1.0);
780 plg[0][3] = 0.5*(5.0*c*c2-3.0*c);
781 plg[0][4] = (35.0*c4 - 30.0*c2 + 3.0)/8.0;
782 plg[0][5] = (63.0*c2*c2*c - 70.0*c2*c + 15.0*c)/8.0;
783 plg[0][6] = (11.0*c*plg[0][5] - 5.0*plg[0][4])/6.0;
784 /* plg[0][7] = (13.0*c*plg[0][6] - 6.0*plg[0][5])/7.0; */
787 plg[1][3] = 1.5*(5.0*c2-1.0)*s;
788 plg[1][4] = 2.5*(7.0*c2*c-3.0*c)*s;
789 plg[1][5] = 1.875*(21.0*c4 - 14.0*c2 +1.0)*s;
790 plg[1][6] = (11.0*c*plg[1][5]-6.0*plg[1][4])/5.0;
791 /* plg[1][7] = (13.0*c*plg[1][6]-7.0*plg[1][5])/6.0; */
792 /* plg[1][8] = (15.0*c*plg[1][7]-8.0*plg[1][6])/7.0; */
794 plg[2][3] = 15.0*s2*c;
795 plg[2][4] = 7.5*(7.0*c2 -1.0)*s2;
796 plg[2][5] = 3.0*c*plg[2][4]-2.0*plg[2][3];
797 plg[2][6] =(11.0*c*plg[2][5]-7.0*plg[2][4])/4.0;
798 plg[2][7] =(13.0*c*plg[2][6]-8.0*plg[2][5])/5.0;
799 plg[3][3] = 15.0*s2*s;
800 plg[3][4] = 105.0*s2*s*c;
801 plg[3][5] =(9.0*c*plg[3][4]-7.*plg[3][3])/2.0;
802 plg[3][6] =(11.0*c*plg[3][5]-8.*plg[3][4])/3.0;
804 if (!(((flags->sw[7]==0)&&(flags->sw[8]==0))&&(flags->sw[14]==0))) {
805 stloc = sin(hr*tloc);
806 ctloc = cos(hr*tloc);
807 s2tloc = sin(2.0*hr*tloc);
808 c2tloc = cos(2.0*hr*tloc);
809 s3tloc = sin(3.0*hr*tloc);
810 c3tloc = cos(3.0*hr*tloc);
813 cd32 = cos(dr*(input->doy-p[31]));
814 cd18 = cos(2.0*dr*(input->doy-p[17]));
815 cd14 = cos(dr*(input->doy-p[13]));
816 cd39 = cos(2.0*dr*(input->doy-p[38]));
823 df = input->f107 - input->f107A;
824 dfa = input->f107A - 150.0;
825 t[0] = p[19]*df*(1.0+p[59]*dfa) + p[20]*df*df + p[21]*dfa + p[29]*pow(dfa,2.0);
826 f1 = 1.0 + (p[47]*dfa +p[19]*df+p[20]*df*df)*flags->swc[1];
827 f2 = 1.0 + (p[49]*dfa+p[19]*df+p[20]*df*df)*flags->swc[1];
829 /* TIME INDEPENDENT */
830 t[1] = (p[1]*plg[0][2]+ p[2]*plg[0][4]+p[22]*plg[0][6]) +
831 (p[14]*plg[0][2])*dfa*flags->swc[1] +p[26]*plg[0][1];
833 /* SYMMETRICAL ANNUAL */
836 /* SYMMETRICAL SEMIANNUAL */
837 t[3] = (p[15]+p[16]*plg[0][2])*cd18;
839 /* ASYMMETRICAL ANNUAL */
840 t[4] = f1*(p[9]*plg[0][1]+p[10]*plg[0][3])*cd14;
842 /* ASYMMETRICAL SEMIANNUAL */
843 t[5] = p[37]*plg[0][1]*cd39;
848 t71 = (p[11]*plg[1][2])*cd14*flags->swc[5];
849 t72 = (p[12]*plg[1][2])*cd14*flags->swc[5];
850 t[6] = f2*((p[3]*plg[1][1] + p[4]*plg[1][3] + p[27]*plg[1][5] + t71) * \
851 ctloc + (p[6]*plg[1][1] + p[7]*plg[1][3] + p[28]*plg[1][5] \
858 t81 = (p[23]*plg[2][3]+p[35]*plg[2][5])*cd14*flags->swc[5];
859 t82 = (p[33]*plg[2][3]+p[36]*plg[2][5])*cd14*flags->swc[5];
860 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);
865 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);
868 /* magnetic activity based on daily ap */
869 if (flags->sw[9]==-1) {
873 exp1 = exp(-10800.0*sqrt(p[51]*p[51])/(1.0+p[138]*(45.0-sqrt(input->g_lat*input->g_lat))));
878 apt[0]=sg0(exp1,p,ap->a);
879 /* apt[1]=sg2(exp1,p,ap->a);
880 apt[2]=sg0(exp2,p,ap->a);
881 apt[3]=sg2(exp2,p,ap->a);
884 t[8] = apt[0]*(p[50]+p[96]*plg[0][2]+p[54]*plg[0][4]+ \
885 (p[125]*plg[0][1]+p[126]*plg[0][3]+p[127]*plg[0][5])*cd14*flags->swc[5]+ \
886 (p[128]*plg[1][1]+p[129]*plg[1][3]+p[130]*plg[1][5])*flags->swc[7]* \
887 cos(hr*(tloc-p[131])));
897 apdf = apd + (p45-1.0)*(apd + (exp(-p44 * apd) - 1.0)/p44);
899 t[8]=apdf*(p[32]+p[45]*plg[0][2]+p[34]*plg[0][4]+ \
900 (p[100]*plg[0][1]+p[101]*plg[0][3]+p[102]*plg[0][5])*cd14*flags->swc[5]+
901 (p[121]*plg[1][1]+p[122]*plg[1][3]+p[123]*plg[1][5])*flags->swc[7]*
902 cos(hr*(tloc-p[124])));
906 if ((flags->sw[10])&&(input->g_long>-1000.0)) {
910 t[10] = (1.0 + p[80]*dfa*flags->swc[1])* \
911 ((p[64]*plg[1][2]+p[65]*plg[1][4]+p[66]*plg[1][6]\
912 +p[103]*plg[1][1]+p[104]*plg[1][3]+p[105]*plg[1][5]\
913 +flags->swc[5]*(p[109]*plg[1][1]+p[110]*plg[1][3]+p[111]*plg[1][5])*cd14)* \
914 cos(dgtr*input->g_long) \
915 +(p[90]*plg[1][2]+p[91]*plg[1][4]+p[92]*plg[1][6]\
916 +p[106]*plg[1][1]+p[107]*plg[1][3]+p[108]*plg[1][5]\
917 +flags->swc[5]*(p[112]*plg[1][1]+p[113]*plg[1][3]+p[114]*plg[1][5])*cd14)* \
918 sin(dgtr*input->g_long));
921 /* ut and mixed ut, longitude */
923 t[11]=(1.0+p[95]*plg[0][1])*(1.0+p[81]*dfa*flags->swc[1])*\
924 (1.0+p[119]*plg[0][1]*flags->swc[5]*cd14)*\
925 ((p[68]*plg[0][1]+p[69]*plg[0][3]+p[70]*plg[0][5])*\
926 cos(sr*(input->sec-p[71])));
927 t[11]+=flags->swc[11]*\
928 (p[76]*plg[2][3]+p[77]*plg[2][5]+p[78]*plg[2][7])*\
929 cos(sr*(input->sec-p[79])+2.0*dgtr*input->g_long)*(1.0+p[137]*dfa*flags->swc[1]);
932 /* ut, longitude magnetic activity */
934 if (flags->sw[9]==-1) {
936 t[12]=apt[0]*flags->swc[11]*(1.+p[132]*plg[0][1])*\
937 ((p[52]*plg[1][2]+p[98]*plg[1][4]+p[67]*plg[1][6])*\
938 cos(dgtr*(input->g_long-p[97])))\
939 +apt[0]*flags->swc[11]*flags->swc[5]*\
940 (p[133]*plg[1][1]+p[134]*plg[1][3]+p[135]*plg[1][5])*\
941 cd14*cos(dgtr*(input->g_long-p[136])) \
942 +apt[0]*flags->swc[12]* \
943 (p[55]*plg[0][1]+p[56]*plg[0][3]+p[57]*plg[0][5])*\
944 cos(sr*(input->sec-p[58]));
947 t[12] = apdf*flags->swc[11]*(1.0+p[120]*plg[0][1])*\
948 ((p[60]*plg[1][2]+p[61]*plg[1][4]+p[62]*plg[1][6])*\
949 cos(dgtr*(input->g_long-p[63])))\
950 +apdf*flags->swc[11]*flags->swc[5]* \
951 (p[115]*plg[1][1]+p[116]*plg[1][3]+p[117]*plg[1][5])* \
952 cd14*cos(dgtr*(input->g_long-p[118])) \
953 + apdf*flags->swc[12]* \
954 (p[83]*plg[0][1]+p[84]*plg[0][3]+p[85]*plg[0][5])* \
955 cos(sr*(input->sec-p[75]));
960 /* parms not used: 82, 89, 99, 139-149 */
963 tinf = tinf + fabs(flags->sw[i+1])*t[i];
967 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
969 double MSIS::glob7s(double *p, struct nrlmsise_input *input,
970 struct nrlmsise_flags *flags)
972 /* VERSION OF GLOBE FOR LOWER ATMOSPHERE 10/26/99
975 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,};
977 double cd32=0.0, cd18=0.0, cd14=0.0, cd39=0.0;
978 double p32=0.0, p18=0.0, p14=0.0, p39=0.0;
980 double dr=1.72142E-2;
981 double dgtr=1.74533E-2;
982 /* confirm parameter set */
986 cerr << "Wrong parameter set for glob7s" << endl;
991 cd32 = cos(dr*(input->doy-p[31]));
992 cd18 = cos(2.0*dr*(input->doy-p[17]));
993 cd14 = cos(dr*(input->doy-p[13]));
994 cd39 = cos(2.0*dr*(input->doy-p[38]));
1003 /* time independent */
1004 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];
1006 /* SYMMETRICAL ANNUAL */
1007 t[2]=(p[18]+p[47]*plg[0][2]+p[29]*plg[0][4])*cd32;
1009 /* SYMMETRICAL SEMIANNUAL */
1010 t[3]=(p[15]+p[16]*plg[0][2]+p[30]*plg[0][4])*cd18;
1012 /* ASYMMETRICAL ANNUAL */
1013 t[4]=(p[9]*plg[0][1]+p[10]*plg[0][3]+p[20]*plg[0][5])*cd14;
1015 /* ASYMMETRICAL SEMIANNUAL */
1016 t[5]=(p[37]*plg[0][1])*cd39;
1021 t71 = p[11]*plg[1][2]*cd14*flags->swc[5];
1022 t72 = p[12]*plg[1][2]*cd14*flags->swc[5];
1023 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) ;
1029 t81 = (p[23]*plg[2][3]+p[35]*plg[2][5])*cd14*flags->swc[5];
1030 t82 = (p[33]*plg[2][3]+p[36]*plg[2][5])*cd14*flags->swc[5];
1031 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);
1035 if (flags->sw[14]) {
1036 t[13] = p[39] * plg[3][3] * s3tloc + p[40] * plg[3][3] * c3tloc;
1039 /* MAGNETIC ACTIVITY */
1041 if (flags->sw[9]==1)
1042 t[8] = apdf * (p[32] + p[45] * plg[0][2] * flags->swc[2]);
1043 if (flags->sw[9]==-1)
1044 t[8]=(p[50]*apt[0] + p[96]*plg[0][2] * apt[0]*flags->swc[2]);
1048 if (!((flags->sw[10]==0) || (flags->sw[11]==0) || (input->g_long<=-1000.0))) {
1049 t[10] = (1.0 + plg[0][1]*(p[80]*flags->swc[5]*cos(dr*(input->doy-p[81]))\
1050 +p[85]*flags->swc[6]*cos(2.0*dr*(input->doy-p[86])))\
1051 +p[83]*flags->swc[3]*cos(dr*(input->doy-p[84]))\
1052 +p[87]*flags->swc[4]*cos(2.0*dr*(input->doy-p[88])))\
1053 *((p[64]*plg[1][2]+p[65]*plg[1][4]+p[66]*plg[1][6]\
1054 +p[74]*plg[1][1]+p[75]*plg[1][3]+p[76]*plg[1][5]\
1055 )*cos(dgtr*input->g_long)\
1056 +(p[90]*plg[1][2]+p[91]*plg[1][4]+p[92]*plg[1][6]\
1057 +p[77]*plg[1][1]+p[78]*plg[1][3]+p[79]*plg[1][5]\
1058 )*sin(dgtr*input->g_long));
1062 tt+=fabs(flags->sw[i+1])*t[i];
1066 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
1068 void MSIS::gtd7(struct nrlmsise_input *input, struct nrlmsise_flags *flags,
1069 struct nrlmsise_output *output)
1074 double zn3[5]={32.5,20.0,15.0,10.0,0.0};
1076 double zn2[4]={72.5,55.0,45.0,32.5};
1085 struct nrlmsise_output soutput;
1088 for (int i=0; i<9; i++) soutput.d[i] = 0.0;
1089 for (int i=0; i<2; i++) soutput.t[i] = 0.0;
1093 /* Latitude variation of gravity (none for sw[2]=0) */
1095 if (flags->sw[2]==0)
1097 glatf(xlat, &gsurf, &re);
1101 /* THERMOSPHERE / MESOSPHERE (above zn2[0]) */
1102 if (input->alt>zn2[0])
1109 gts7(input, flags, &soutput);
1112 if (flags->sw[0]) /* metric adjustment */
1116 output->t[0]=soutput.t[0];
1117 output->t[1]=soutput.t[1];
1118 if (input->alt>=zn2[0]) {
1120 output->d[i]=soutput.d[i];
1124 /* LOWER MESOSPHERE/UPPER STRATOSPHERE (between zn3[0] and zn2[0])
1125 * Temperature at nodes and gradients at end nodes
1126 * Inverse temperature a linear function of spherical harmonics
1128 meso_tgn2[0]=meso_tgn1[1];
1129 meso_tn2[0]=meso_tn1[4];
1130 meso_tn2[1]=pma[0][0]*pavgm[0]/(1.0-flags->sw[20]*glob7s(pma[0], input, flags));
1131 meso_tn2[2]=pma[1][0]*pavgm[1]/(1.0-flags->sw[20]*glob7s(pma[1], input, flags));
1132 meso_tn2[3]=pma[2][0]*pavgm[2]/(1.0-flags->sw[20]*flags->sw[22]*glob7s(pma[2], input, flags));
1133 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));
1134 meso_tn3[0]=meso_tn2[3];
1136 if (input->alt<zn3[0]) {
1137 /* LOWER STRATOSPHERE AND TROPOSPHERE (below zn3[0])
1138 * Temperature at nodes and gradients at end nodes
1139 * Inverse temperature a linear function of spherical harmonics
1141 meso_tgn3[0]=meso_tgn2[1];
1142 meso_tn3[1]=pma[3][0]*pavgm[3]/(1.0-flags->sw[22]*glob7s(pma[3], input, flags));
1143 meso_tn3[2]=pma[4][0]*pavgm[4]/(1.0-flags->sw[22]*glob7s(pma[4], input, flags));
1144 meso_tn3[3]=pma[5][0]*pavgm[5]/(1.0-flags->sw[22]*glob7s(pma[5], input, flags));
1145 meso_tn3[4]=pma[6][0]*pavgm[6]/(1.0-flags->sw[22]*glob7s(pma[6], input, flags));
1146 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));
1149 /* LINEAR TRANSITION TO FULL MIXING BELOW zn2[0] */
1152 if (input->alt>zmix)
1153 dmc = 1.0 - (zn2[0]-input->alt)/(zn2[0] - zmix);
1156 /**** N2 density ****/
1157 dmr=soutput.d[2] / dm28m - 1.0;
1158 output->d[2]=densm(input->alt,dm28m,xmm, &tz, mn3, zn3, meso_tn3, meso_tgn3, mn2, zn2, meso_tn2, meso_tgn2);
1159 output->d[2]=output->d[2] * (1.0 + dmr*dmc);
1161 /**** HE density ****/
1162 dmr = soutput.d[0] / (dz28 * pdm[0][1]) - 1.0;
1163 output->d[0] = output->d[2] * pdm[0][1] * (1.0 + dmr*dmc);
1165 /**** O density ****/
1169 /**** O2 density ****/
1170 dmr = soutput.d[3] / (dz28 * pdm[3][1]) - 1.0;
1171 output->d[3] = output->d[2] * pdm[3][1] * (1.0 + dmr*dmc);
1173 /**** AR density ***/
1174 dmr = soutput.d[4] / (dz28 * pdm[4][1]) - 1.0;
1175 output->d[4] = output->d[2] * pdm[4][1] * (1.0 + dmr*dmc);
1177 /**** Hydrogen density ****/
1180 /**** Atomic nitrogen density ****/
1183 /**** Total mass density */
1184 output->d[5] = 1.66E-24 * (4.0 * output->d[0] + 16.0 * output->d[1] +
1185 28.0 * output->d[2] + 32.0 * output->d[3] + 40.0 * output->d[4]
1186 + output->d[6] + 14.0 * output->d[7]);
1189 output->d[5]=output->d[5]/1000;
1191 /**** temperature at altitude ****/
1192 dd = densm(input->alt, 1.0, 0, &tz, mn3, zn3, meso_tn3, meso_tgn3,
1193 mn2, zn2, meso_tn2, meso_tgn2);
1198 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
1200 void MSIS::gtd7d(struct nrlmsise_input *input, struct nrlmsise_flags *flags,
1201 struct nrlmsise_output *output)
1203 gtd7(input, flags, output);
1204 output->d[5] = 1.66E-24 * (4.0 * output->d[0] + 16.0 * output->d[1] +
1205 28.0 * output->d[2] + 32.0 * output->d[3] + 40.0 * output->d[4]
1206 + output->d[6] + 14.0 * output->d[7] + 16.0 * output->d[8]);
1208 output->d[5]=output->d[5]/1000;
1211 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
1213 void MSIS::ghp7(struct nrlmsise_input *input, struct nrlmsise_flags *flags,
1214 struct nrlmsise_output *output, double press)
1216 double bm = 1.3806E-19;
1217 double rgas = 831.4;
1218 double test = 0.00043;
1225 double xn, xm, diff;
1231 zi = 18.06 * (3.00 - pl);
1232 else if ((pl>0.075) && (pl<=2.5))
1233 zi = 14.98 * (3.08 - pl);
1234 else if ((pl>-1) && (pl<=0.075))
1235 zi = 17.80 * (2.72 - pl);
1236 else if ((pl>-2) && (pl<=-1))
1237 zi = 14.28 * (3.64 - pl);
1238 else if ((pl>-4) && (pl<=-2))
1239 zi = 12.72 * (4.32 -pl);
1241 zi = 25.3 * (0.11 - pl);
1242 cl = input->g_lat/90.0;
1245 cd = (1.0 - (double) input->doy) / 91.25;
1247 cd = ((double) input->doy) / 91.25 - 3.0;
1249 if ((pl > -1.11) && (pl<=-0.23))
1252 ca = (2.79 - pl) / (2.79 + 0.23);
1253 if ((pl <= -1.11) && (pl>-3))
1254 ca = (-2.93 - pl)/(-2.93 + 1.11);
1255 z = zi - 4.87 * cl * cd * ca - 1.64 * cl2 * ca + 0.31 * ca * cl;
1257 z = 22.0 * pow((pl + 4.0),2.0) + 110.0;
1259 /* iteration loop */
1264 gtd7(input, flags, output);
1266 xn = output->d[0] + output->d[1] + output->d[2] + output->d[3] + output->d[4] + output->d[6] + output->d[7];
1267 p = bm * xn * output->t[1];
1270 diff = pl - log10(p);
1271 if (sqrt(diff*diff)<test)
1274 cerr << "ERROR: ghp7 not converging for press " << press << ", diff " << diff << endl;
1277 xm = output->d[5] / xn / 1.66E-24;
1280 g = gsurf / (pow((1.0 + z/re),2.0));
1281 sh = rgas * output->t[1] / (xm * g);
1283 /* new altitude estimate using scale height */
1285 z = z - sh * diff * 2.302;
1291 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
1293 void MSIS::gts7(struct nrlmsise_input *input, struct nrlmsise_flags *flags,
1294 struct nrlmsise_output *output)
1296 /* Thermospheric portion of NRLMSISE-00
1297 * See GTD7 for more extensive comments
1302 double ddum=0.0, z=0.0;
1303 double zn1[5] = {120.0, 110.0, 100.0, 90.0, 72.5};
1308 double s=0.0, z0=0.0, t0=0.0, tr12=0.0;
1309 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;
1310 double zh28=0.0, zh04=0.0, zh16=0.0, zh32=0.0, zh40=0.0, zh01=0.0, zh14=0.0;
1311 double zhm28=0.0, zhm04=0.0, zhm16=0.0, zhm32=0.0, zhm40=0.0, zhm01=0.0, zhm14=0.0;
1313 double b28=0.0, b04=0.0, b16=0.0, b32=0.0, b40=0.0, b01=0.0, b14=0.0;
1315 double g28=0.0, g4=0.0, g16=0.0, g32=0.0, g40=0.0, g1=0.0, g14=0.0;
1316 double zhf=0.0, xmm=0.0;
1317 double zc04=0.0, zc16=0.0, zc32=0.0, zc40=0.0, zc01=0.0, zc14=0.0;
1318 double hc04=0.0, hc16=0.0, hc32=0.0, hc40=0.0, hc01=0.0, hc14=0.0;
1319 double hcc16=0.0, hcc32=0.0, hcc01=0.0, hcc14=0.0;
1320 double zcc16=0.0, zcc32=0.0, zcc01=0.0, zcc14=0.0;
1321 double rc16=0.0, rc32=0.0, rc01=0.0, rc14=0.0;
1323 double g16h=0.0, db16h=0.0, tho=0.0, zsht=0.0, zmho=0.0, zsho=0.0;
1324 double dgtr=1.74533E-2;
1325 double dr=1.72142E-2;
1326 double alpha[9]={-0.38, 0.0, 0.0, 0.0, 0.17, 0.0, -0.38, 0.0, 0.0};
1327 double altl[8]={200.0, 300.0, 160.0, 250.0, 240.0, 450.0, 320.0, 450.0};
1329 double hc216=0.0, hcc232=0.0;
1335 /* TINF VARIATIONS NOT IMPORTANT BELOW ZA OR ZN1(1) */
1336 if (input->alt>zn1[0])
1337 tinf = ptm[0]*pt[0] * \
1338 (1.0+flags->sw[16]*globe7(pt,input,flags));
1340 tinf = ptm[0]*pt[0];
1343 /* GRADIENT VARIATIONS NOT IMPORTANT BELOW ZN1(5) */
1344 if (input->alt>zn1[4])
1345 g0 = ptm[3]*ps[0] * \
1346 (1.0+flags->sw[19]*globe7(ps,input,flags));
1349 tlb = ptm[1] * (1.0 + flags->sw[17]*globe7(pd[3],input,flags))*pd[3][0];
1350 s = g0 / (tinf - tlb);
1352 /* Lower thermosphere temp variations not significant for
1353 * density above 300 km */
1354 if (input->alt<300.0) {
1355 meso_tn1[1]=ptm[6]*ptl[0][0]/(1.0-flags->sw[18]*glob7s(ptl[0], input, flags));
1356 meso_tn1[2]=ptm[2]*ptl[1][0]/(1.0-flags->sw[18]*glob7s(ptl[1], input, flags));
1357 meso_tn1[3]=ptm[7]*ptl[2][0]/(1.0-flags->sw[18]*glob7s(ptl[2], input, flags));
1358 meso_tn1[4]=ptm[4]*ptl[3][0]/(1.0-flags->sw[18]*flags->sw[20]*glob7s(ptl[3], input, flags));
1359 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));
1361 meso_tn1[1]=ptm[6]*ptl[0][0];
1362 meso_tn1[2]=ptm[2]*ptl[1][0];
1363 meso_tn1[3]=ptm[7]*ptl[2][0];
1364 meso_tn1[4]=ptm[4]*ptl[3][0];
1365 meso_tgn1[1]=ptm[8]*pma[8][0]*meso_tn1[4]*meso_tn1[4]/(pow((ptm[4]*ptl[3][0]),2.0));
1372 /* N2 variation factor at Zlb */
1373 g28=flags->sw[21]*globe7(pd[2], input, flags);
1375 /* VARIATION OF TURBOPAUSE HEIGHT */
1376 zhf=pdl[1][24]*(1.0+flags->sw[5]*pdl[0][24]*sin(dgtr*input->g_lat)*cos(dr*(input->doy-pt[13])));
1382 /**** N2 DENSITY ****/
1384 /* Diffusive density at Zlb */
1385 db28 = pdm[2][0]*exp(g28)*pd[2][0];
1386 /* Diffusive density at Alt */
1387 output->d[2]=densu(z,db28,tinf,tlb,28.0,alpha[2],&output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1391 zhm28=pdm[2][3]*pdl[1][5];
1393 /* Mixed density at Zlb */
1394 b28=densu(zh28,db28,tinf,tlb,xmd,(alpha[2]-1.0),&tz,ptm[5],s,mn1, zn1,meso_tn1,meso_tgn1);
1395 if ((flags->sw[15])&&(z<=altl[2])) {
1396 /* Mixed density at Alt */
1397 dm28=densu(z,b28,tinf,tlb,xmm,alpha[2],&tz,ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1398 /* Net density at Alt */
1399 output->d[2]=dnet(output->d[2],dm28,zhm28,xmm,28.0);
1403 /**** HE DENSITY ****/
1405 /* Density variation factor at Zlb */
1406 g4 = flags->sw[21]*globe7(pd[0], input, flags);
1407 /* Diffusive density at Zlb */
1408 db04 = pdm[0][0]*exp(g4)*pd[0][0];
1409 /* Diffusive density at Alt */
1410 output->d[0]=densu(z,db04,tinf,tlb, 4.,alpha[0],&output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1412 if ((flags->sw[15]) && (z<altl[0])) {
1415 /* Mixed density at Zlb */
1416 b04=densu(zh04,db04,tinf,tlb,4.-xmm,alpha[0]-1.,&output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1417 /* Mixed density at Alt */
1418 dm04=densu(z,b04,tinf,tlb,xmm,0.,&output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1420 /* Net density at Alt */
1421 output->d[0]=dnet(output->d[0],dm04,zhm04,xmm,4.);
1422 /* Correction to specified mixing ratio at ground */
1423 rl=log(b28*pdm[0][1]/b04);
1424 zc04=pdm[0][4]*pdl[1][0];
1425 hc04=pdm[0][5]*pdl[1][1];
1426 /* Net density corrected at Alt */
1427 output->d[0]=output->d[0]*ccor(z,rl,hc04,zc04);
1431 /**** O DENSITY ****/
1433 /* Density variation factor at Zlb */
1434 g16= flags->sw[21]*globe7(pd[1],input,flags);
1435 /* Diffusive density at Zlb */
1436 db16 = pdm[1][0]*exp(g16)*pd[1][0];
1437 /* Diffusive density at Alt */
1438 output->d[1]=densu(z,db16,tinf,tlb, 16.,alpha[1],&output->t[1],ptm[5],s,mn1, zn1,meso_tn1,meso_tgn1);
1440 if ((flags->sw[15]) && (z<=altl[1])) {
1443 /* Mixed density at Zlb */
1444 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);
1445 /* Mixed density at Alt */
1446 dm16=densu(z,b16,tinf,tlb,xmm,0.,&output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1448 /* Net density at Alt */
1449 output->d[1]=dnet(output->d[1],dm16,zhm16,xmm,16.);
1450 rl=pdm[1][1]*pdl[1][16]*(1.0+flags->sw[1]*pdl[0][23]*(input->f107A-150.0));
1451 hc16=pdm[1][5]*pdl[1][3];
1452 zc16=pdm[1][4]*pdl[1][2];
1453 hc216=pdm[1][5]*pdl[1][4];
1454 output->d[1]=output->d[1]*ccor2(z,rl,hc16,zc16,hc216);
1455 /* Chemistry correction */
1456 hcc16=pdm[1][7]*pdl[1][13];
1457 zcc16=pdm[1][6]*pdl[1][12];
1458 rc16=pdm[1][3]*pdl[1][14];
1459 /* Net density corrected at Alt */
1460 output->d[1]=output->d[1]*ccor(z,rc16,hcc16,zcc16);
1464 /**** O2 DENSITY ****/
1466 /* Density variation factor at Zlb */
1467 g32= flags->sw[21]*globe7(pd[4], input, flags);
1468 /* Diffusive density at Zlb */
1469 db32 = pdm[3][0]*exp(g32)*pd[4][0];
1470 /* Diffusive density at Alt */
1471 output->d[3]=densu(z,db32,tinf,tlb, 32.,alpha[3],&output->t[1],ptm[5],s,mn1, zn1,meso_tn1,meso_tgn1);
1473 if (flags->sw[15]) {
1477 /* Mixed density at Zlb */
1478 b32=densu(zh32,db32,tinf,tlb,32.-xmm,alpha[3]-1., &output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1479 /* Mixed density at Alt */
1480 dm32=densu(z,b32,tinf,tlb,xmm,0.,&output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1482 /* Net density at Alt */
1483 output->d[3]=dnet(output->d[3],dm32,zhm32,xmm,32.);
1484 /* Correction to specified mixing ratio at ground */
1485 rl=log(b28*pdm[3][1]/b32);
1486 hc32=pdm[3][5]*pdl[1][7];
1487 zc32=pdm[3][4]*pdl[1][6];
1488 output->d[3]=output->d[3]*ccor(z,rl,hc32,zc32);
1490 /* Correction for general departure from diffusive equilibrium above Zlb */
1491 hcc32=pdm[3][7]*pdl[1][22];
1492 hcc232=pdm[3][7]*pdl[0][22];
1493 zcc32=pdm[3][6]*pdl[1][21];
1494 rc32=pdm[3][3]*pdl[1][23]*(1.+flags->sw[1]*pdl[0][23]*(input->f107A-150.));
1495 /* Net density corrected at Alt */
1496 output->d[3]=output->d[3]*ccor2(z,rc32,hcc32,zcc32,hcc232);
1500 /**** AR DENSITY ****/
1502 /* Density variation factor at Zlb */
1503 g40= flags->sw[21]*globe7(pd[5],input,flags);
1504 /* Diffusive density at Zlb */
1505 db40 = pdm[4][0]*exp(g40)*pd[5][0];
1506 /* Diffusive density at Alt */
1507 output->d[4]=densu(z,db40,tinf,tlb, 40.,alpha[4],&output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1509 if ((flags->sw[15]) && (z<=altl[4])) {
1512 /* Mixed density at Zlb */
1513 b40=densu(zh40,db40,tinf,tlb,40.-xmm,alpha[4]-1.,&output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1514 /* Mixed density at Alt */
1515 dm40=densu(z,b40,tinf,tlb,xmm,0.,&output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1517 /* Net density at Alt */
1518 output->d[4]=dnet(output->d[4],dm40,zhm40,xmm,40.);
1519 /* Correction to specified mixing ratio at ground */
1520 rl=log(b28*pdm[4][1]/b40);
1521 hc40=pdm[4][5]*pdl[1][9];
1522 zc40=pdm[4][4]*pdl[1][8];
1523 /* Net density corrected at Alt */
1524 output->d[4]=output->d[4]*ccor(z,rl,hc40,zc40);
1528 /**** HYDROGEN DENSITY ****/
1530 /* Density variation factor at Zlb */
1531 g1 = flags->sw[21]*globe7(pd[6], input, flags);
1532 /* Diffusive density at Zlb */
1533 db01 = pdm[5][0]*exp(g1)*pd[6][0];
1534 /* Diffusive density at Alt */
1535 output->d[6]=densu(z,db01,tinf,tlb,1.,alpha[6],&output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1537 if ((flags->sw[15]) && (z<=altl[6])) {
1540 /* Mixed density at Zlb */
1541 b01=densu(zh01,db01,tinf,tlb,1.-xmm,alpha[6]-1., &output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1542 /* Mixed density at Alt */
1543 dm01=densu(z,b01,tinf,tlb,xmm,0.,&output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1545 /* Net density at Alt */
1546 output->d[6]=dnet(output->d[6],dm01,zhm01,xmm,1.);
1547 /* Correction to specified mixing ratio at ground */
1548 rl=log(b28*pdm[5][1]*sqrt(pdl[1][17]*pdl[1][17])/b01);
1549 hc01=pdm[5][5]*pdl[1][11];
1550 zc01=pdm[5][4]*pdl[1][10];
1551 output->d[6]=output->d[6]*ccor(z,rl,hc01,zc01);
1552 /* Chemistry correction */
1553 hcc01=pdm[5][7]*pdl[1][19];
1554 zcc01=pdm[5][6]*pdl[1][18];
1555 rc01=pdm[5][3]*pdl[1][20];
1556 /* Net density corrected at Alt */
1557 output->d[6]=output->d[6]*ccor(z,rc01,hcc01,zcc01);
1561 /**** ATOMIC NITROGEN DENSITY ****/
1563 /* Density variation factor at Zlb */
1564 g14 = flags->sw[21]*globe7(pd[7],input,flags);
1565 /* Diffusive density at Zlb */
1566 db14 = pdm[6][0]*exp(g14)*pd[7][0];
1567 /* Diffusive density at Alt */
1568 output->d[7]=densu(z,db14,tinf,tlb,14.,alpha[7],&output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1570 if ((flags->sw[15]) && (z<=altl[7])) {
1573 /* Mixed density at Zlb */
1574 b14=densu(zh14,db14,tinf,tlb,14.-xmm,alpha[7]-1., &output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1575 /* Mixed density at Alt */
1576 dm14=densu(z,b14,tinf,tlb,xmm,0.,&output->t[1],ptm[5],s,mn1,zn1,meso_tn1,meso_tgn1);
1578 /* Net density at Alt */
1579 output->d[7]=dnet(output->d[7],dm14,zhm14,xmm,14.);
1580 /* Correction to specified mixing ratio at ground */
1581 rl=log(b28*pdm[6][1]*sqrt(pdl[0][2]*pdl[0][2])/b14);
1582 hc14=pdm[6][5]*pdl[0][1];
1583 zc14=pdm[6][4]*pdl[0][0];
1584 output->d[7]=output->d[7]*ccor(z,rl,hc14,zc14);
1585 /* Chemistry correction */
1586 hcc14=pdm[6][7]*pdl[0][4];
1587 zcc14=pdm[6][6]*pdl[0][3];
1588 rc14=pdm[6][3]*pdl[0][5];
1589 /* Net density corrected at Alt */
1590 output->d[7]=output->d[7]*ccor(z,rc14,hcc14,zcc14);
1594 /**** Anomalous OXYGEN DENSITY ****/
1596 g16h = flags->sw[21]*globe7(pd[8],input,flags);
1597 db16h = pdm[7][0]*exp(g16h)*pd[8][0];
1598 tho = pdm[7][9]*pdl[0][6];
1599 dd=densu(z,db16h,tho,tho,16.,alpha[8],&output->t[1],ptm[5],s,mn1, zn1,meso_tn1,meso_tgn1);
1602 zsho=scalh(zmho,16.0,tho);
1603 output->d[8]=dd*exp(-zsht/zsho*(exp(-(z-zmho)/zsht)-1.));
1606 /* total mass density */
1607 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]);
1608 db48=1.66E-24*(4.0*db04+16.0*db16+28.0*db28+32.0*db32+40.0*db40+db01+14.0*db14);
1613 z = sqrt(input->alt*input->alt);
1614 ddum = densu(z,1.0, tinf, tlb, 0.0, 0.0, &output->t[1], ptm[5], s, mn1, zn1, meso_tn1, meso_tgn1);
1617 output->d[i]=output->d[i]*1.0E6;
1618 output->d[5]=output->d[5]/1000;
1623 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
1624 // The bitmasked value choices are as follows:
1625 // unset: In this case (the default) JSBSim would only print
1626 // out the normally expected messages, essentially echoing
1627 // the config files as they are read. If the environment
1628 // variable is not set, debug_lvl is set to 1 internally
1629 // 0: This requests JSBSim not to output any messages
1631 // 1: This value explicity requests the normal JSBSim
1633 // 2: This value asks for a message to be printed out when
1634 // a class is instantiated
1635 // 4: When this value is set, a message is displayed when a
1636 // FGModel object executes its Run() method
1637 // 8: When this value is set, various runtime state variables
1638 // are printed out periodically
1639 // 16: When set various parameters are sanity checked and
1640 // a message is printed out when they go out of bounds
1642 void MSIS::Debug(int from)
1644 if (debug_lvl <= 0) return;
1646 if (debug_lvl & 1) { // Standard console startup message output
1647 if (from == 0) { // Constructor
1650 if (debug_lvl & 2 ) { // Instantiation/Destruction notification
1651 if (from == 0) cout << "Instantiated: MSIS" << endl;
1652 if (from == 1) cout << "Destroyed: MSIS" << endl;
1654 if (debug_lvl & 4 ) { // Run() method entry print for FGModel-derived objects
1656 if (debug_lvl & 8 ) { // Runtime state variables
1658 if (debug_lvl & 16) { // Sanity checking
1660 if (debug_lvl & 32) { // Turbulence
1662 if (debug_lvl & 64) {
1663 if (from == 0) { // Constructor
1664 cout << IdSrc << endl;
1665 cout << IdHdr << endl;
1672 } // namespace JSBSim