#include #include #include #include #include #include #include "sgdp4h.h" #define LIM 128 #define D2R M_PI/180.0 #define R2D 180.0/M_PI #define XKMPER 6378.135 // Earth radius in km #define XKMPAU 149597879.691 // AU in km #define XKE 0.743669161e-1 #define CK2 5.413080e-4 /* (0.5 * XJ2 * AE * AE) */ #define XMNPDA 1440.0 /* Minutes per day */ #define FLAT (1.0/298.257) #define STDMAG 6.0 #define MMAX 1024 long Isat=0; long Isatsel=0; extern double SGDP4_jd0; struct map { double lat,lng; float alt; char observer[32]; int site_id; } m; void get_site(int site_id); double nfd2mjd(char *date); double date2mjd(int year,int month,double day); void nfd_now(char *s); void obspos_xyz(double mjd,xyz_t *pos,xyz_t *vel); void sunpos_xyz(double mjd,xyz_t *pos,double *ra,double *de); double gmst(double mjd); double dgmst(double mjd); double modulo(double x,double y); void equatorial2horizontal(double mjd,double ra,double de,double *azi,double *alt); void mjd2date(double mjd,char *date); int properties(kep_t K,xyz_t obspos,xyz_t sunpos,float radius,float t,double *ra,double *de,double *r,float *mag); void dec2s(double x,char *s,int f,int len); float semimajoraxis(orbit_t orb) { float xno,eo,xincl; float a1,betao2,betao,temp0,del1,a0,del0,xnodp,aodp; xno=orb.rev*2.0*M_PI/XMNPDA; eo=orb.ecc; xincl=orb.eqinc; a1 = pow(XKE / xno, 2.0/3.0); betao2 = 1.0 - eo * eo; betao = sqrt(betao2); temp0 = (1.5 * CK2) * cos(xincl)*cos(xincl) / (betao * betao2); del1 = temp0 / (a1 * a1); a0 = a1 * (1.0 - del1 * (1.0/3.0 + del1 * (1.0 + del1 * 134.0/81.0))); del0 = temp0 / (a0 * a0); xnodp = xno / (1.0 + del0); aodp = (a0 / (1.0 - del0)); aodp=(aodp-1)*XKMPER; return aodp; } void usage(void) { printf("planscan -t -c -s -l -i \n"); printf(" -r -A -S \n\n"); printf("-t UT Start date/time in yyyy-mm-ddThh:mm:ss [default: now]\n"); printf("-c Input TLE catalog to use [default: classfd.tle]\n"); printf("-s Site number from sites.txt [default: 4171]\n"); printf("-l Search length from UT start in seconds [default: 86400 s]\n"); printf("-i NORAD number of satellite to select [default: 41334]\n"); printf("-r Satellite altitude above surface in km [default: mean orbital altitude]\n"); printf("-A Minimum satellite elevation in degrees [default: 10 degrees]\n"); printf("-S Maximum solar elevation in degrees [default: -6 degrees\n"); printf("-d Time step in seconds [default: 60s]\n"); printf("-C Select on culmination instead of maximum brightness\n"); printf("-h Shows this help\n"); return; } int main(int argc,char *argv[]) { int arg=0,imode,i; int satno=-1; orbit_t orb; FILE *fp; char tlefile[256]="classfd.tle"; char nfd[32]; double mjd0,mjd,jd,tsince; int rv,withvel; kep_t K; double radius=-1; xyz_t obspos,obsvel,sunpos; double p,pmin,p0,p1,r,ra,de,azi,alt,sazi,salt,altmin=10.0,saltmin=-6.0,altmax,dp; float mag,mmin; int state,pstate,nstate; float t,length=86400.0,dt=60.0; char sra[16],sde[16],type[32]; int opttype=0; // 0 magnitude; 1 elevation // Initialize nfd_now(nfd); mjd0=nfd2mjd(nfd); get_site(4171); // Decode options while ((arg=getopt(argc,argv,"t:c:i:s:l:hS:A:r:d:C"))!=-1) { switch (arg) { case 't': strcpy(nfd,optarg); mjd0=nfd2mjd(nfd); break; case 'c': strcpy(tlefile,optarg); break; case 's': get_site(atoi(optarg)); break; case 'C': opttype=1; break; case 'i': satno=atoi(optarg); break; case 'r': radius=atof(optarg); break; case 'l': length=atoi(optarg); if (strchr(optarg,'h')!=NULL) length*=3600; else if (strchr(optarg,'m')!=NULL) length*=60; else if (strchr(optarg,'d')!=NULL) length*=86400; break; case 'S': saltmin=atof(optarg); break; case 'A': altmin=atof(optarg); break; case 'd': dt=atof(optarg); break; case 'h': usage(); return 0; break; default: usage(); return 0; } } // Error checking if (satno<=0) { fprintf(stderr,"ERROR: NORAD satellite number not provided!\n"); return -1; } // Get TLE fp=fopen(tlefile,"rb"); if (fp==NULL) { fprintf(stderr,"ERROR: Failed to open file with TLEs (%s)!\n",tlefile); return -1; } // Read TLE while (read_twoline(fp,satno,&orb)==0) { Isat=orb.satno; imode=init_sgdp4(&orb); if (imode==SGDP4_ERROR) continue; } fclose(fp); // Object found? if (orb.satno!=satno) { fprintf(stderr,"ERROR: Object %d not found in %s!\n",satno,tlefile); return -1; } // Object found? if (orb.rev<10.0) { fprintf(stderr,"ERROR: Object %d is not in a LEO orbit.\n",satno); return -1; } // Compute radius if (radius<0.0) radius=semimajoraxis(orb); // Print header printf("Observer: %s (%04d) [%+.4f, %+.4f, %.0fm]\n",m.observer,m.site_id,m.lat,m.lng,m.alt*1000.0); printf("Elements: %s\n",tlefile); printf("Object: %d\n",satno); printf("Radius: %g km\n",radius); printf("Start UT Date/Time: %s for %g h \n\n",nfd,length/3600.0); printf("UT Date/Time R.A. Decl. Azi. Alt. Range Mag Sun Alt. Type\n"); printf(" (deg) (deg) (km) (deg)\n"); printf("=====================================================================================\n"); for (t=0.0;taltmax && mag<15.0) { pmin=p; altmax=alt; } } } // Finer search p0=pmin-4.0*M_PI/(float) MMAX; p1=pmin+4.0*M_PI/(float) MMAX; for (i=0,pmin=0.0,mmin=15.0;ialtmax && mag<15.0) { pmin=p; altmax=alt; } } } // Get properties before and after maximum pstate=properties(K,obspos,sunpos,radius,pmin-0.01,&ra,&de,&r,&mag); nstate=properties(K,obspos,sunpos,radius,pmin+0.01,&ra,&de,&r,&mag); state=properties(K,obspos,sunpos,radius,pmin,&ra,&de,&r,&mag); if (pstatenstate) strcpy(type,"Ingress"); else if (opttype==0) strcpy(type,"Maximum"); else if (opttype==1) strcpy(type,"Culmination"); ra=modulo(ra,360.0); equatorial2horizontal(mjd,ra,de,&azi,&alt); azi=modulo(azi+180.0,360.0); mjd2date(mjd,nfd); dec2s(ra/15.0,sra,0,2); dec2s(de,sde,0,2); if (alt>altmin && salttm_year+1900,ptm->tm_mon+1,ptm->tm_mday,ptm->tm_hour,ptm->tm_min,ptm->tm_sec); return; } // Observer position void obspos_xyz(double mjd,xyz_t *pos,xyz_t *vel) { double ff,gc,gs,theta,s,dtheta; s=sin(m.lat*D2R); ff=sqrt(1.0-FLAT*(2.0-FLAT)*s*s); gc=1.0/ff+m.alt/XKMPER; gs=(1.0-FLAT)*(1.0-FLAT)/ff+m.alt/XKMPER; theta=gmst(mjd)+m.lng; dtheta=dgmst(mjd)*D2R/86400; pos->x=gc*cos(m.lat*D2R)*cos(theta*D2R)*XKMPER; pos->y=gc*cos(m.lat*D2R)*sin(theta*D2R)*XKMPER; pos->z=gs*sin(m.lat*D2R)*XKMPER; vel->x=-gc*cos(m.lat*D2R)*sin(theta*D2R)*XKMPER*dtheta; vel->y=gc*cos(m.lat*D2R)*cos(theta*D2R)*XKMPER*dtheta; vel->z=0.0; return; } // Solar position void sunpos_xyz(double mjd,xyz_t *pos,double *ra,double *de) { double jd,t,l0,m,e,c,r; double n,s,ecl; jd=mjd+2400000.5; t=(jd-2451545.0)/36525.0; l0=modulo(280.46646+t*(36000.76983+t*0.0003032),360.0)*D2R; m=modulo(357.52911+t*(35999.05029-t*0.0001537),360.0)*D2R; e=0.016708634+t*(-0.000042037-t*0.0000001267); c=(1.914602+t*(-0.004817-t*0.000014))*sin(m)*D2R; c+=(0.019993-0.000101*t)*sin(2.0*m)*D2R; c+=0.000289*sin(3.0*m)*D2R; r=1.000001018*(1.0-e*e)/(1.0+e*cos(m+c)); n=modulo(125.04-1934.136*t,360.0)*D2R; s=l0+c+(-0.00569-0.00478*sin(n))*D2R; ecl=(23.43929111+(-46.8150*t-0.00059*t*t+0.001813*t*t*t)/3600.0+0.00256*cos(n))*D2R; *ra=atan2(cos(ecl)*sin(s),cos(s))*R2D; *de=asin(sin(ecl)*sin(s))*R2D; pos->x=r*cos(*de*D2R)*cos(*ra*D2R)*XKMPAU; pos->y=r*cos(*de*D2R)*sin(*ra*D2R)*XKMPAU; pos->z=r*sin(*de*D2R)*XKMPAU; return; } // Greenwich Mean Sidereal Time double dgmst(double mjd) { double t,dgmst; t=(mjd-51544.5)/36525.0; dgmst=360.98564736629+t*(0.000387933-t/38710000); return dgmst; } // Greenwich Mean Sidereal Time double gmst(double mjd) { double t,gmst; t=(mjd-51544.5)/36525.0; gmst=modulo(280.46061837+360.98564736629*(mjd-51544.5)+t*t*(0.000387933-t/38710000),360.0); return gmst; } // Return x modulo y [0,y) double modulo(double x,double y) { x=fmod(x,y); if (x<0.0) x+=y; return x; } // Convert equatorial into horizontal coordinates void equatorial2horizontal(double mjd,double ra,double de,double *azi,double *alt) { double h; h=gmst(mjd)+m.lng-ra; *azi=modulo(atan2(sin(h*D2R),cos(h*D2R)*sin(m.lat*D2R)-tan(de*D2R)*cos(m.lat*D2R))*R2D,360.0); *alt=asin(sin(m.lat*D2R)*sin(de*D2R)+cos(m.lat*D2R)*cos(de*D2R)*cos(h*D2R))*R2D; return; } // Compute Date from Julian Day void mjd2date(double mjd,char *date) { double f,jd,dday; int z,alpha,a,b,c,d,e; int year,month,day,hour,min; float sec,x; jd=mjd+2400000.5; jd+=0.5; z=floor(jd); f=fmod(jd,1.); if (z<2299161) a=z; else { alpha=floor((z-1867216.25)/36524.25); a=z+1+alpha-floor(alpha/4.); } b=a+1524; c=floor((b-122.1)/365.25); d=floor(365.25*c); e=floor((b-d)/30.6001); dday=b-d-floor(30.6001*e)+f; if (e<14) month=e-1; else month=e-13; if (month>2) year=c-4716; else year=c-4715; day=(int) floor(dday); x=24.0*(dday-day); x=3600.*fabs(x)+0.0001; sec=fmod(x,60.); x=(x-sec)/60.; min=fmod(x,60.); x=(x-min)/60.; hour=x; sec=floor(1000.0*sec)/1000.0; sprintf(date,"%04d-%02d-%02dT%02d:%02d:%02.0f",year,month,day,hour,min,sec); return; } int properties(kep_t K,xyz_t obspos,xyz_t sunpos,float radius,float t,double *ra,double *de,double *r,float *mag) { double st,ct,sn,cn,si,ci; xyz_t satpos; double dx,dy,dz,rsun,rearth,psun,pearth,p; float phase; int state; // Angles sn=sin(K.ascn); cn=cos(K.ascn); si=sin(K.eqinc); ci=cos(K.eqinc); st=sin(K.theta+t); ct=cos(K.theta+t); satpos.x=-sn*ci*st+cn*ct; satpos.y=cn*ci*st+sn*ct; satpos.z=si*st; satpos.x*=(radius+XKMPER); satpos.y*=(radius+XKMPER); satpos.z*=(radius+XKMPER); // Sun position from satellite dx=-satpos.x+sunpos.x; dy=-satpos.y+sunpos.y; dz=-satpos.z+sunpos.z; // Distances rsun=sqrt(dx*dx+dy*dy+dz*dz); rearth=sqrt(satpos.x*satpos.x+satpos.y*satpos.y+satpos.z*satpos.z); // Angles psun=asin(696.0e3/rsun)*R2D; pearth=asin(6378.135/rearth)*R2D; pearth=asin(6378.135/rearth)*R2D; p=acos((-dx*satpos.x-dy*satpos.y-dz*satpos.z)/(rsun*rearth))*R2D; p-=pearth; // Position differences dx=satpos.x-obspos.x; dy=satpos.y-obspos.y; dz=satpos.z-obspos.z; // Celestial position *r=sqrt(dx*dx+dy*dy+dz*dz); *ra=atan2(dy,dx)*R2D; *de=asin(dz/ *r)*R2D; // Visibility if (p<-psun) { // strcpy(state,"eclipsed"); state=0; } else if (p>-psun && ppsun) { // strcpy(state,"sunlit"); state=2; } // Phase phase=acos(((obspos.x-satpos.x)*(sunpos.x-satpos.x)+(obspos.y-satpos.y)*(sunpos.y-satpos.y)+(obspos.z-satpos.z)*(sunpos.z-satpos.z))/(rsun* *r))*R2D; // Magnitude if (state==2) *mag=STDMAG-15.0+5*log10( *r)-2.5*log10(sin(phase*D2R)+(M_PI-phase*D2R)*cos(phase*D2R)); else *mag=15; return state; } // Convert Decimal into Sexagesimal void dec2s(double x,char *s,int f,int len) { int i; double sec,deg,min; char sign; char *form[]={"::",",,","hms"," "}; sign=(x<0 ? '-' : ' '); x=3600.*fabs(x); sec=fmod(x,60.); x=(x-sec)/60.; min=fmod(x,60.); x=(x-min)/60.; // deg=fmod(x,60.); deg=x; if (len==7) sprintf(s,"%c%02i%c%02i%c%07.4f%c",sign,(int) deg,form[f][0],(int) min,form[f][1],sec,form[f][2]); if (len==6) sprintf(s,"%c%02i%c%02i%c%06.3f%c",sign,(int) deg,form[f][0],(int) min,form[f][1],sec,form[f][2]); if (len==5) sprintf(s,"%c%02i%c%02i%c%05.2f%c",sign,(int) deg,form[f][0],(int) min,form[f][1],sec,form[f][2]); if (len==4) sprintf(s,"%c%02i%c%02i%c%04.1f%c",sign,(int) deg,form[f][0],(int) min,form[f][1],sec,form[f][2]); if (len==2) sprintf(s,"%c%02i%c%02i%c%02i%c",sign,(int) deg,form[f][0],(int) min,form[f][1],(int) floor(sec),form[f][2]); return; }