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sattools/satfit.c

1968 lines
40 KiB
C

#include <stdio.h>
#include <string.h>
#include <stdlib.h>
#include <math.h>
#include <ctype.h>
#include <cpgplot.h>
#include <wcslib/cel.h>
#include "sgdp4h.h"
#include <getopt.h>
#define LIM 80
#define NMAX 256
#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 FLAT (1.0/298.257)
#define XKE 0.07436680 // Guassian Gravitational Constant
#define AE 1.0
#define XMNPDA 1440.0
long Isat=0;
long Isatsel=0;
extern double SGDP4_jd0;
struct point {
int flag,satno;
char desig[10];
double mjd,ra,de,rac,dec;
float st,sr;
char iod_line[LIM];
double dx,dy,dr,dt;
xyz_t obspos;
};
struct doppler {
double mjd,freq,v;
xyz_t obspos,obsvel;
};
struct data {
int n,nsel,m;
struct point *p;
struct doppler *q;
double chisq,rms;
} d;
struct site {
int id;
double lng,lat;
float alt;
char observer[64];
};
orbit_t orb;
struct site get_site(int site_id);
struct point decode_iod_observation(char *iod_line);
struct doppler decode_doppler_observation(char *line);
int fgetline(FILE *file,char *s,int lim);
double modulo(double x,double y);
double gmst(double mjd);
double dgmst(double mjd);
double date2mjd(int year,int month,double day);
double mjd2doy(double mjd,int *yr);
void mjd2date(double mjd,int *year,int *month,double *day);
void obspos_xyz(double mjd,double lng,double lat,float alt,xyz_t *pos,xyz_t *vel);
void precess(double mjd0,double ra0,double de0,double mjd,double *ra,double *de);
void forward(double ra0,double de0,double ra,double de,double *x,double *y);
struct data read_data(char *iodfname,char *dopfname);
void versafit(int m,int n,double *a,double *da,double (*func)(double *),double dchisq,double tol,char *opt);
double chisq(double a[]);
orbit_t read_tle(char *filename,int satno);
void format_tle(orbit_t orb,char *line1,char *line2);
void highlight(float x0,float y0,float x,float y,int flag);
void time_range(double *mjdmin,double *mjdmax,int flag);
void print_tle(orbit_t orb,char *filename);
void fit(orbit_t orb,int *ia);
void usage();
double nfd2mjd(char *date);
double dot(xyz_t a,xyz_t b);
double magnitude(xyz_t a);
xyz_t cross(xyz_t a,xyz_t b);
orbit_t classel(int ep_year,double ep_day,xyz_t r,xyz_t v);
orbit_t rv2el(int satno,double mjd,xyz_t r0,xyz_t v0);
// Propagate elements
void propagate(double mjd)
{
int imode;
xyz_t r,v;
char desig[20],line1[80],line2[80];
// Store designation
strcpy(desig,orb.desig);
// Propagate
imode=init_sgdp4(&orb);
imode=satpos_xyz(mjd+2400000.5,&r,&v);
// Convert
orb=rv2el(orb.satno,mjd,r,v);
// Copy designation
strcpy(orb.desig,desig);
return;
}
xyz_t get_position(double r0,int i0)
{
int i;
double rr,drr,r;
xyz_t pos;
double x,y,z;
// Initial range
rr=100.0;
do {
x=d.p[i0].obspos.x+rr*cos(d.p[i0].ra*D2R)*cos(d.p[i0].de*D2R);
y=d.p[i0].obspos.y+rr*sin(d.p[i0].ra*D2R)*cos(d.p[i0].de*D2R);
z=d.p[i0].obspos.z+rr*sin(d.p[i0].de*D2R);
r=sqrt(x*x+y*y+z*z);
drr=r-r0;
rr-=drr;
} while (fabs(drr)>0.01);
pos.x=x;
pos.y=y;
pos.z=z;
return pos;
}
void period_search(void)
{
int i,j,i1,i2;
float dt;
int nrev,nrevmin,nrevmax;
char line1[70],line2[70];
int ia[7];
// Set fitting parameters
for (i=0;i<6;i++)
ia[i]=1;
ia[6]=0;
// Select all points
for (i=0;i<d.n;i++)
d.p[i].flag=2;
// Print observations
printf("Present observations:\n");
for (i=0;i<d.n;i++)
printf("%3d: %s\n",i+1,d.p[i].iod_line);
printf("\nSelect center observations of both arcs: ");
scanf("%d %d",&i1,&i2);
dt=d.p[i2].mjd-d.p[i1].mjd;
printf("\nTime passed: %f days\n",dt);
printf("Provide revolution range to search over [min,max]: ");
scanf("%d %d",&nrevmin,&nrevmax);
for (nrev=nrevmin;nrev<nrevmax+1;nrev++) {
orb.satno=79000+nrev;
orb.rev=nrev/dt;
// Set parameters
for (i=0;i<7;i++)
ia[i]=0;
// Loop over parameters
for (i=0;i<6;i++) {
if (i==0) ia[4]=1;
if (i==1) ia[1]=1;
if (i==2) ia[0]=1;
if (i==3) ia[3]=1;
if (i==4) ia[2]=1;
if (i==5) ia[5]=1;
for (j=0;j<5;j++)
fit(orb,ia);
}
format_tle(orb,line1,line2);
printf("%s\n%s\n# %d revs, %f revs/day, %f\n",line1,line2,nrev,nrev/dt,d.rms);
}
return;
}
int ewsearch(void)
{
int i,satno=88300;
double mjdmin,mjdmax;
int ia[7]={0,0,0,0,0,0,0};
double ecc,eccmin,eccmax,decc;
double rev,revmin,revmax,drev;
double argp,argpmin,argpmax,dargp;
char line1[70],line2[70];
FILE *file,*tlefile;
int year,month;
double day;
// Provide
printf("Eccentricity [min, max, stepsize]: \n");
scanf("%lf %lf %lf",&eccmin,&eccmax,&decc);
printf("Argument of perigee [min, max, stepsize]: \n");
scanf("%lf %lf %lf",&argpmin,&argpmax,&dargp);
// Step 2: get time range
time_range(&mjdmin,&mjdmax,2);
// Open files
file=fopen("search.dat","w");
tlefile=fopen("search.tle","w");
// Step 4: Loop over eccentricity
for (ecc=eccmin;ecc<eccmax;ecc+=decc) {
for (argp=argpmin;argp<argpmax;argp+=dargp) {
orb.satno=satno++;
orb.ecc=ecc;
orb.argp=argp*D2R;
// Set parameters
for (i=0;i<7;i++)
ia[i]=0;
// Step 4: loop over parameters
for (i=0;i<4;i++) {
if (i==0) ia[4]=1;
if (i==1) ia[1]=1;
if (i==2) ia[0]=1;
if (i==3) ia[5]=1;
// if (i==4) ia[3]=1;
// Do fit
fit(orb,ia);
}
fit(orb,ia);
fit(orb,ia);
fit(orb,ia);
printf("%8.5lf %8.6lf %8.3lf %8.3lf %8.3lf %8.3lf %8.5lf\n",orb.rev,orb.ecc,orb.argp*R2D,orb.ascn*R2D,orb.mnan*R2D,orb.eqinc*R2D,d.rms);
fprintf(file,"%8.5lf %8.6lf %8.3lf %8.3lf %8.3lf %8.3lf %8.5lf\n",orb.rev,orb.ecc,orb.argp*R2D,orb.ascn*R2D,orb.mnan*R2D,orb.eqinc*R2D,d.rms);
format_tle(orb,line1,line2);
fprintf(tlefile,"OBJ\n%s\n%s\n",line1,line2);
mjd2date(mjdmin,&year,&month,&day);
fprintf(tlefile,"# %4d%02d%05.2lf-",year,month,day);
mjd2date(mjdmax,&year,&month,&day);
fprintf(tlefile,"%4d%02d%05.2lf, %d measurements, %.5lf deg rms\n",year,month,day,d.n,d.rms);
}
fprintf(file,"\n");
}
fclose(file);
fclose(tlefile);
return orb.satno;
}
int revsearch(void)
{
int i,satno=88300;
double mjdmin,mjdmax;
int ia[7]={0,0,0,0,0,0,0};
double ecc,eccmin,eccmax,decc;
double rev,revmin,revmax,drev;
double argp,argpmin,argpmax,dargp;
char line1[70],line2[70];
FILE *file,*tlefile;
int year,month;
double day;
// Provide
printf("Mean motion [min, max, stepsize]: \n");
scanf("%lf %lf %lf",&revmin,&revmax,&drev);
// Step 1: select all points
// for (i=0;i<d.n;i++)
// d.p[i].flag=2;
// Step 2: get time range
time_range(&mjdmin,&mjdmax,2);
// Open files
file=fopen("search.dat","w");
tlefile=fopen("search.tle","w");
// Step 4: Loop over eccentricity
for (rev=revmin;rev<revmax;rev+=drev) {
orb.satno=satno++;
orb.rev=rev;
// Set parameters
for (i=0;i<7;i++)
ia[i]=0;
// Step 4: loop over parameters
for (i=0;i<5;i++) {
if (i==0) ia[4]=1;
if (i==1) ia[1]=1;
if (i==2) ia[0]=1;
if (i==3) ia[2]=1;
if (i==4) ia[3]=1;
// Do fit
fit(orb,ia);
}
fit(orb,ia);
fit(orb,ia);
fit(orb,ia);
printf("%8.5lf %8.6lf %8.3lf %8.3lf %8.3lf %8.3lf %8.5lf\n",orb.rev,orb.ecc,orb.argp*R2D,orb.ascn*R2D,orb.mnan*R2D,orb.eqinc*R2D,d.rms);
fprintf(file,"%8.5lf %8.6lf %8.3lf %8.3lf %8.3lf %8.3lf %8.5lf\n",orb.rev,orb.ecc,orb.argp*R2D,orb.ascn*R2D,orb.mnan*R2D,orb.eqinc*R2D,d.rms);
format_tle(orb,line1,line2);
fprintf(tlefile,"OBJ\n%s\n%s\n",line1,line2);
mjd2date(mjdmin,&year,&month,&day);
fprintf(tlefile,"# %4d%02d%05.2lf-",year,month,day);
mjd2date(mjdmax,&year,&month,&day);
fprintf(tlefile,"%4d%02d%05.2lf, %d measurements, %.5lf deg rms\n",year,month,day,d.n,d.rms);
}
fclose(file);
fclose(tlefile);
return orb.satno;
}
int psearch(void)
{
int i,satno=99300;
double mjdmin,mjdmax;
int ia[7]={0,0,0,0,0,0,0};
double ecc,eccmin,eccmax,decc;
double rev,revmin,revmax,drev;
double argp,argpmin,argpmax,dargp;
char line1[70],line2[70];
FILE *file;
// Provide
printf("Mean motion [min, max, stepsize]: \n");
scanf("%lf %lf %lf",&revmin,&revmax,&drev);
printf("Eccentricity [min, max, stepsize]: \n");
scanf("%lf %lf %lf",&eccmin,&eccmax,&decc);
// printf("Argument of perigee [min, max, stepsize]: \n");
// scanf("%lf %lf %lf",&argpmin,&argpmax,&dargp);
// Step 1: select all points
// for (i=0;i<d.n;i++)
// d.p[i].flag=2;
// Step 2: get time range
time_range(&mjdmin,&mjdmax,2);
file=fopen("search.dat","w");
// Step 4: Loop over eccentricity
for (rev=revmin;rev<revmax;rev+=drev) {
for (ecc=eccmin;ecc<eccmax;ecc+=decc) {
// for (argp=argpmin;argp<argpmax;argp+=dargp) {
orb.satno=satno;
orb.ecc=ecc;
orb.rev=rev;
//orb.argp=argp*D2R;
// Set parameters
for (i=0;i<7;i++)
ia[i]=0;
// Step 4: loop over parameters
for (i=0;i<5;i++) {
if (i==0) ia[4]=1;
if (i==1) ia[1]=1;
if (i==2) ia[0]=1;
// if (i==3) ia[5]=1;
if (i==4) ia[3]=1;
// Do fit
fit(orb,ia);
}
fit(orb,ia);
fit(orb,ia);
fit(orb,ia);
printf("%8.5lf %8.6lf %8.3lf %8.3lf %8.3lf %8.3lf %8.5lf\n",orb.rev,orb.ecc,orb.argp*R2D,orb.ascn*R2D,orb.mnan*R2D,orb.eqinc*R2D,d.rms);
fprintf(file,"%8.5lf %8.6lf %8.3lf %8.3lf %8.3lf %8.3lf %8.5lf\n",orb.rev,orb.ecc,orb.argp*R2D,orb.ascn*R2D,orb.mnan*R2D,orb.eqinc*R2D,d.rms);
}
fprintf(file,"\n");
// }
}
fclose(file);
return orb.satno;
}
int circular_fit(void)
{
int i;
double mjdmin,mjdmax;
int ia[7]={0,0,0,0,0,0,0};
// Step 1: select all points
// for (i=0;i<d.n;i++)
// d.p[i].flag=2;
// Step 2: get time range
time_range(&mjdmin,&mjdmax,2);
// Step 3: set initial orbit
orb.satno=d.p[0].satno;
orb.eqinc=0.5*M_PI;
orb.ascn=0.0;
orb.ecc=0.0001;
orb.argp=0.0;
orb.mnan=0.0;
orb.rev=14.0;
orb.bstar=0.5e-4;
orb.ep_day=mjd2doy(0.5*(mjdmin+mjdmax),&orb.ep_year);
// Step 4: loop over parameters
for (i=0;i<4;i++) {
if (i==0) ia[4]=1;
if (i==1) ia[1]=1;
if (i==2) ia[0]=1;
if (i==3) ia[5]=1;
// Do fit
fit(orb,ia);
}
fit(orb,ia);
return orb.satno;
}
int adjust_fit(int depth)
{
int i;
double mjdmin,mjdmax;
int ia[6]={0,0,0,0,0,0};
// Step 2: loop over parameters
for (i=0;i<depth;i++) {
if (i==0) ia[4]=1;
if (i==1) ia[1]=1;
if (i==2) ia[0]=1;
if (i==3) ia[5]=1;
if (i==4) ia[2]=1;
if (i==5) ia[3]=1;
// Do fit
fit(orb,ia);
}
fit(orb,ia);
return orb.satno;
}
void old_circular_fit(void)
{
int i,j,i0,i1;
float r0=6500;
xyz_t pos0,pos1;
double ang,dt,w,w0;
// Get end points
for (i=0,j=0;i<d.n;i++) {
if (d.p[i].flag==2) {
if (j==0)
i0=i;
i1=i;
j++;
}
}
// Time difference
dt=86400.0*(d.p[i1].mjd-d.p[i0].mjd);
i=0;
do {
w0=360.0/(2.0*M_PI*sqrt(r0*r0*r0/398600));
// Get positions
pos0=get_position(r0,i0);
pos1=get_position(r0,i1);
// Compute angle
ang=acos((pos0.x*pos1.x+pos0.y*pos1.y+pos0.z*pos1.z)/(r0*r0))*R2D;
// Angular motion (deg/sec);
w=ang/dt;
r0+=1000.0*(w0-w);
i++;
} while (fabs(w0-w)>1e-5 && i<1000);
printf("%f\n",r0);
return;
}
int main(int argc,char *argv[])
{
int i,j,nobs=0;
int redraw=1,plot_residuals=0,adjust=0,quit=0,identify=0;
int ia[]={0,0,0,0,0,0,0};
float dx[]={0.1,0.1,0.35,0.35,0.6,0.6,0.85},dy[]={0.0,-0.25,0.0,-0.25,0.0,-0.25,0.0};
char c;
int mode=0,posn=0,click=0;
float x0,y0,x,y;
float xmin=0.0,xmax=360.0,ymin=-90.0,ymax=90.0;
char string[64],bstar[10]=" 50000-4",line0[72],line1[72],line2[72],text[10];
char filename[64],nfd[32];
int satno=-1;
double mjdmin,mjdmax,mjd=0.0;
int length=864000;
int arg=0,elset=0,circular=0,tleout=0,noplot=0;
char *ioddatafile=NULL,*dopdatafile=NULL,*catalog,tlefile[LIM];
orbit_t orb0;
FILE *file;
// Decode options
while ((arg=getopt(argc,argv,"d:r:c:i:haCo:pIt:l:m:"))!=-1) {
switch(arg) {
case 'd':
ioddatafile=optarg;
break;
case 'r':
dopdatafile=optarg;
break;
case 'c':
catalog=optarg;
break;
case 'i':
satno=atoi(optarg);
break;
case 't':
strcpy(nfd,optarg);
mjd=nfd2mjd(nfd);
break;
case 'm':
mjd=(double) 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 'C':
circular=1;
break;
case 'p':
noplot=1;
break;
case 'o':
tleout=1;
strcpy(tlefile,optarg);
break;
case 'h':
usage();
return 0;
break;
case 'a':
adjust=1;
break;
case 'I':
identify=1;
break;
default:
usage();
return 0;
}
}
// Read data
d=read_data(ioddatafile,dopdatafile);
// Select observations based on time
if (mjd>0.0) {
mjdmin=mjd-length/86400.0;
mjdmax=mjd;
for (i=0;i<d.n;i++) {
if (d.p[i].mjd>mjdmin && d.p[i].mjd<=mjdmax && d.p[i].flag==1)
d.p[i].flag=2;
else
d.p[i].flag=0;
}
}
time_range(&mjdmin,&mjdmax,1);
// Read TLE
if (satno>=0)
orb=read_tle(catalog,satno);
// Open catalog
if (identify==1) {
file=fopen(catalog,"r");
if (file==NULL)
fatal_error("Failed to open %s\n",catalog);
}
// Reloop stderr
freopen("/tmp/stderr.txt","w",stderr);
// Fit circular orbit
if (circular==1) {
for (i=0;i<d.n;i++)
d.p[i].flag=2;
satno=circular_fit();
plot_residuals=1;
quit=1;
// Dump tle
if (tleout==1)
print_tle(orb,tlefile);
}
// Identify
if (identify==1) {
// Select all points
for (i=0;i<d.n;i++)
d.p[i].flag=2;
// Reset satno
if (satno==-1)
satno=0;
// Loop over file
while (read_twoline(file,satno,&orb)==0) {
orb0=orb;
adjust_fit(2);
fit(orb,ia);
printf("%05d %8.3f %8.3f %8.3f %s %8.3f\n",orb.satno,DEG(orb.mnan-orb0.mnan),DEG(orb.ascn-orb0.ascn),d.rms,ioddatafile,mjdmin-(SGDP4_jd0-2400000.5));
}
fclose(file);
plot_residuals=1;
redraw=1;
quit=1;
noplot=1;
}
// Adjust
if (adjust==1) {
// Count observations
for (i=0,nobs=0;i<d.n;i++) {
if (d.p[i].flag==1) {
d.p[i].flag=2;
nobs++;
}
}
// Not enough observations
if (nobs<10)
return 0;
// Get last point
for (i=0,j=0;i<d.n;i++) {
if (d.p[i].flag==2) {
if (j==0) mjdmax=d.p[i].mjd;
if (d.p[i].mjd>mjdmax) mjdmax=d.p[i].mjd;
j++;
}
}
// Propagate orbit to time of last observation
propagate(mjdmax);
orb0=orb;
// Fit
adjust_fit(16);
// Print results
// printf("%05d %8.3f %8.3f %8.3f %s %8.3f %d\n",satno,DEG(orb.mnan-orb0.mnan),DEG(orb.ascn-orb0.ascn),d.rms,ioddatafile,mjdmin-(SGDP4_jd0-2400000.5),d.nsel);
// Dump tle
if (tleout==1)
print_tle(orb,tlefile);
// Set thingies
plot_residuals=1;
redraw=1;
quit=1;
}
// Exit before plotting
if (quit==1 && noplot==1) {
if (d.n) free(d.p);
if (d.m) free(d.q);
fclose(stderr);
return 0;
}
cpgopen("/xs");
cpgask(0);
// For ever loop
for (;;) {
if (redraw==1) {
cpgpage();
cpgsvp(0.1,0.95,0.0,0.18);
cpgswin(0.0,1.0,-0.5,0.5);
// Buttons
cpgtext(0.12,-0.05,"Inclination");
cpgtext(0.372,-0.05,"Eccentricity");
cpgtext(0.62,-0.05,"Mean Anomaly");
cpgtext(0.87,-0.05,"B\\u*\\d");
cpgtext(0.12,-0.3,"Ascending Node");
cpgtext(0.37,-0.3,"Arg. of Perigee");
cpgtext(0.62,-0.3,"Mean Motion");
// Toggles
for (i=0;i<7;i++) {
cpgpt1(dx[i],dy[i],19);
if (ia[i]==1) {
cpgsci(2);
cpgpt1(dx[i],dy[i],16);
cpgsci(1);
}
}
// Plot map
cpgsvp(0.1,0.9,0.2,0.9);
cpgswin(xmax,xmin,ymin,ymax);
cpgbox("BCTSN",0.,0,"BCTSN",0.,0);
cpglab("Right Ascension","Declination"," ");
if (satno>0) {
// Plot tle
format_tle(orb,line1,line2);
cpgmtxt("T",2.0,0.0,0.0,line1);
cpgmtxt("T",1.0,0.0,0.0,line2);
}
// Plot points
for (i=0;i<d.n;i++) {
if (d.p[i].flag>=1) {
cpgpt1(d.p[i].ra,d.p[i].de,17);
sprintf(text," %d",i+1);
cpgtext(d.p[i].ra,d.p[i].de,text);
if (plot_residuals==1) {
cpgmove(d.p[i].ra,d.p[i].de);
cpgdraw(d.p[i].rac,d.p[i].dec);
}
if (d.p[i].flag==2) {
cpgsci(2);
cpgpt1(d.p[i].ra,d.p[i].de,4);
cpgsci(1);
}
}
}
}
// Quit
if (quit==1)
break;
// Get cursor
cpgband(mode,posn,x0,y0,&x,&y,&c);
// Help
if (c=='h' || c=='?') {
printf("q Quit\nw Write TLE file\nP Search mean motion space\nf Fit orbit\ns Select observations in current window\nu Unselect observations\n1-7 Toggle parameter\nC Fit circular orbit\nS Search mean motion/eccentricity space\nc Change a parameter\nz Zoom\nr Unzoom\nt Toggle starting orbits (LEO, GTO, GEO, HEO)\n");
}
// Quit
if (c=='q' || c=='Q')
break;
// Period search
if (c=='P') {
period_search();
}
// Fit
if (c=='f') {
// Count points
for (i=0,nobs=0;i<d.n;i++)
if (d.p[i].flag==2)
nobs++;
if (satno<0) {
printf("No elements loaded!\n");
} else if (nobs==0) {
printf("No points selected!\n");
} else {
fit(orb,ia);
printf("%d %.5f\n",nobs,d.rms);
plot_residuals=1;
redraw=1;
continue;
}
}
// Write TLE
if (c=='w') {
printf("TLE filename to write: ");
scanf("%s",filename);
print_tle(orb,filename);
printf("\n================================================================================\n");
continue;
}
// Highlight
if (c=='s') {
highlight(xmin,ymin,xmax,ymax,2);
time_range(&mjdmin,&mjdmax,2);
for (i=0,nobs=0;i<d.n;i++)
if (d.p[i].flag==2)
nobs++;
click=0;
mode=0;
redraw=1;
continue;
}
// Unselect
if (c=='U') {
for (i=0;i<d.n;i++)
d.p[i].flag=1;
time_range(&mjdmin,&mjdmax,1);
redraw=1;
continue;
}
// Unselect
if (c=='u') {
for (i=0;i<d.n;i++)
if (d.p[i].flag==2)
d.p[i].flag=1;
redraw=1;
continue;
}
// Toggles
if (isdigit(c) && c-'0'>=1 && c-'0'<8) {
if (ia[c-49]==0)
ia[c-49]=1;
else if (ia[c-49]==1)
ia[c-49]=0;
redraw=1;
continue;
}
// Circular fit
if (c=='C') {
satno=circular_fit();
plot_residuals=1;
printf("%.3f\n",d.rms);
ia[0]=ia[1]=ia[4]=ia[5]=1;
redraw=1;
}
// Search
if (c=='S') {
satno=psearch();
plot_residuals=1;
ia[0]=ia[1]=ia[4]=ia[5]=1;
redraw=1;
}
// Search
if (c=='R') {
satno=revsearch();
plot_residuals=1;
// ia[0]=ia[1]=ia[4]=ia[5]=ia[2]=1;
redraw=1;
}
// EW search
if (c=='e') {
satno=ewsearch();
plot_residuals=1;
redraw=1;
}
// Change
if (c=='c') {
printf("(1) Inclination, (2) Ascending Node, (3) Eccentricity,\n(4) Arg. of Perigee, (5) Mean Anomaly, (6) Mean Motion,\n(7) B* drag, (8) Epoch, (9) Satellite ID\n(0) Sat ID\nWhich parameter to change: ");
scanf("%i",&i);
if (i>=0 && i<=9) {
printf("\nNew value: ");
fgets(string,64,stdin);
scanf("%s",string);
if (i==0) strcpy(orb.desig,string);
if (i==1) orb.eqinc=RAD(atof(string));
if (i==2) orb.ascn=RAD(atof(string));
if (i==3) orb.ecc=atof(string);
if (i==4) orb.argp=RAD(atof(string));
if (i==5) orb.mnan=RAD(atof(string));
if (i==6) orb.rev=atof(string);
if (i==7) orb.bstar=atof(string);
if (i==8) {
orb.ep_year=2000+(int) floor(atof(string)/1000.0);
orb.ep_day=atof(string)-1000*floor(atof(string)/1000.0);
}
if (i==9) orb.satno=atoi(string);
redraw=1;
continue;
}
printf("\n================================================================================\n");
}
// Zoom
if (c=='z') {
click=1;
mode=2;
}
// Execute zoom, or box delete
if (c=='A') {
if (click==0) {
click=1;
} else if (click==1 && mode==2) {
xmin=(x0<x) ? x0 : x;
xmax=(x0>x) ? x0 : x;
ymin=(y0<y) ? y0 : y;
ymax=(y0>y) ? y0 : y;
click=0;
mode=0;
redraw=1;
continue;
} else {
click=0;
mode=0;
redraw=1;
continue;
}
}
// Unzoom
if (c=='r') {
xmin=0.0;
xmax=360.0;
ymin=-90.0;
ymax=90.0;
mode=0;
click=0;
redraw=1;
continue;
}
// Default tle
if (c=='t') {
orb.satno=d.p[0].satno;
strcpy(orb.desig,d.p[0].desig);
orb.ep_day=mjd2doy(0.5*(mjdmin+mjdmax),&orb.ep_year);
satno=orb.satno;
if (elset==0) {
orb.eqinc=0.5*M_PI;
orb.ascn=0.0;
orb.ecc=0.0001;
orb.argp=0.0;
orb.mnan=0.0;
orb.rev=14.0;
orb.bstar=0.5e-4;
printf("LEO orbit\n");
} else if (elset==1) {
orb.eqinc=20.0*D2R;
orb.ascn=0.0;
orb.ecc=0.7;
orb.argp=0.0;
orb.mnan=0.0;
orb.rev=2.25;
orb.bstar=0.0;
printf("GTO orbit\n");
} else if (elset==2) {
orb.eqinc=10.0*D2R;
orb.ascn=0.0;
orb.ecc=0.0001;
orb.argp=0.0;
orb.mnan=0.0;
orb.rev=1.0027;
orb.bstar=0.0;
printf("GSO orbit\n");
} else if (elset==3) {
orb.eqinc=63.434*D2R;
orb.ascn=0.0;
orb.ecc=0.71;
orb.argp=270*D2R;
orb.mnan=0.0;
orb.rev=2.006;
orb.bstar=0.0;
printf("HEO orbit\n");
}
elset++;
if (elset>3)
elset=0;
print_orb(&orb);
printf("\n================================================================================\n");
click=0;
redraw=1;
continue;
}
// Save
x0=x;
y0=y;
}
cpgend();
if (d.n) free(d.p);
if (d.m) free(d.q);
fclose(stderr);
return 0;
}
// Get observing site
struct site get_site(int site_id)
{
int i=0;
char line[LIM];
FILE *file;
int id;
double lat,lng;
float alt;
char abbrev[3],observer[64];
struct site s;
char *env,filename[LIM];
env=getenv("ST_DATADIR");
sprintf(filename,"%s/data/sites.txt",env);
file=fopen(filename,"r");
if (file==NULL) {
printf("File with site information not found!\n");
return s;
}
while (fgets(line,LIM,file)!=NULL) {
// Skip
if (strstr(line,"#")!=NULL)
continue;
// Strip newline
line[strlen(line)-1]='\0';
// Read data
sscanf(line,"%4d %2s %lf %lf %f",
&id,abbrev,&lat,&lng,&alt);
strcpy(observer,line+38);
// Change to km
alt/=1000.0;
// Copy site
if (id==site_id) {
s.lat=lat;
s.lng=lng;
s.alt=alt;
s.id=id;
strcpy(s.observer,observer);
}
}
fclose(file);
if (id!=site_id)
s.id==-1;
return s;
}
// Return x modulo y [0,y)
double modulo(double x,double y)
{
x=fmod(x,y);
if (x<0.0) x+=y;
return x;
}
// 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;
}
// 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;
}
// Observer position
void obspos_xyz(double mjd,double lng,double lat,float alt,xyz_t *pos,xyz_t *vel)
{
double ff,gc,gs,theta,s,dtheta;
s=sin(lat*D2R);
ff=sqrt(1.0-FLAT*(2.0-FLAT)*s*s);
gc=1.0/ff+alt/XKMPER;
gs=(1.0-FLAT)*(1.0-FLAT)/ff+alt/XKMPER;
theta=gmst(mjd)+lng;
dtheta=dgmst(mjd)*D2R/86400;
pos->x=gc*cos(lat*D2R)*cos(theta*D2R)*XKMPER;
pos->y=gc*cos(lat*D2R)*sin(theta*D2R)*XKMPER;
pos->z=gs*sin(lat*D2R)*XKMPER;
vel->x=-gc*cos(lat*D2R)*sin(theta*D2R)*XKMPER*dtheta;
vel->y=gc*cos(lat*D2R)*cos(theta*D2R)*XKMPER*dtheta;
vel->z=0.0;
return;
}
// Precess a celestial position
void precess(double mjd0,double ra0,double de0,double mjd,double *ra,double *de)
{
double t0,t;
double zeta,z,theta;
double a,b,c;
// Angles in radians
ra0*=D2R;
de0*=D2R;
// Time in centuries
t0=(mjd0-51544.5)/36525.0;
t=(mjd-mjd0)/36525.0;
// Precession angles
zeta=(2306.2181+1.39656*t0-0.000139*t0*t0)*t;
zeta+=(0.30188-0.000344*t0)*t*t+0.017998*t*t*t;
zeta*=D2R/3600.0;
z=(2306.2181+1.39656*t0-0.000139*t0*t0)*t;
z+=(1.09468+0.000066*t0)*t*t+0.018203*t*t*t;
z*=D2R/3600.0;
theta=(2004.3109-0.85330*t0-0.000217*t0*t0)*t;
theta+=-(0.42665+0.000217*t0)*t*t-0.041833*t*t*t;
theta*=D2R/3600.0;
a=cos(de0)*sin(ra0+zeta);
b=cos(theta)*cos(de0)*cos(ra0+zeta)-sin(theta)*sin(de0);
c=sin(theta)*cos(de0)*cos(ra0+zeta)+cos(theta)*sin(de0);
*ra=(atan2(a,b)+z)*R2D;
*de=asin(c)*R2D;
if (*ra<360.0)
*ra+=360.0;
if (*ra>360.0)
*ra-=360.0;
return;
}
// Compute Julian Day from Date
double date2mjd(int year,int month,double day)
{
int a,b;
double jd;
if (month<3) {
year--;
month+=12;
}
a=floor(year/100.);
b=2.-a+floor(a/4.);
if (year<1582) b=0;
if (year==1582 && month<10) b=0;
if (year==1582 && month==10 && day<=4) b=0;
jd=floor(365.25*(year+4716))+floor(30.6001*(month+1))+day+b-1524.5;
return jd-2400000.5;
}
// Decode IOD Observations
struct point decode_iod_observation(char *iod_line)
{
int year,month,iday,hour,min;
int format,epoch,me,xe,sign;
int site_id;
double sec,ra,mm,ss,de,dd,ds,day,mjd0;
char secbuf[6],sn[2],degbuf[3],buf1[3],buf2[6];
struct point p;
struct site s;
xyz_t vel;
// Strip newline
iod_line[strlen(iod_line)-1]='\0';
// Copy full line
strcpy(p.iod_line,iod_line);
// Set flag
p.flag=1;
// Get SSN
sscanf(iod_line,"%5d",&p.satno);
// Get desig
sscanf(iod_line+6,"%s %s",buf1,buf2);
sprintf(p.desig,"%s%s",buf1,buf2);
// Get site
sscanf(iod_line+16,"%4d",&site_id);
s=get_site(site_id);
// Skip if site not found
if (s.id<0) {
fprintf(stderr,"Site %d not found!\n",site_id);
p.flag=0;
}
// Decode date/time
sscanf(iod_line+23,"%4d%2d%2d%2d%2d%5s",&year,&month,&iday,&hour,&min,secbuf);
sec=atof(secbuf);
sec/=pow(10,strlen(secbuf)-2);
day=(double) iday+(double) hour/24.0+(double) min/1440.0+(double) sec/86400.0;
p.mjd=date2mjd(year,month,day);
// Get uncertainty in time
sscanf(iod_line+41,"%1d%1d",&me,&xe);
p.st=(float) me*pow(10,xe-8);
// Get observer position
obspos_xyz(p.mjd,s.lng,s.lat,s.alt,&p.obspos,&vel);
// Skip empty observations
if (strlen(iod_line)<64 || (iod_line[54]!='+' && iod_line[54]!='-'))
p.flag=0;
// Get format, epoch
sscanf(iod_line+44,"%1d%1d",&format,&epoch);
// Read position
sscanf(iod_line+47,"%2lf%2lf%3lf%1s",&ra,&mm,&ss,sn);
sscanf(iod_line+55,"%2lf%2lf%2s",&de,&dd,degbuf);
ds=atof(degbuf);
if (strlen(degbuf)==1)
ds*=10;
sign=(sn[0]=='-') ? -1 : 1;
sscanf(iod_line+62,"%1d%1d",&me,&xe);
p.sr=(float) me*pow(10,xe-8);
// Decode position
switch(format)
{
// Format 1: RA/DEC = HHMMSSs+DDMMSS MX (MX in seconds of arc)
case 1 :
ra+=mm/60+ss/36000;
de=sign*(de+dd/60+ds/3600);
p.sr/=3600.0;
break;
// Format 2: RA/DEC = HHMMmmm+DDMMmm MX (MX in minutes of arc)
case 2:
ra+=mm/60+ss/60000;
de=sign*(de+dd/60+ds/6000);
p.sr/=60.0;
break;
// Format 3: RA/DEC = HHMMmmm+DDdddd MX (MX in degrees of arc)
case 3 :
ra+=mm/60+ss/60000;
de=sign*(de+dd/100+ds/10000);
break;
// Format 7: RA/DEC = HHMMSSs+DDdddd MX (MX in degrees of arc)
case 7 :
ra+=mm/60+ss/36000;
de=sign*(de+dd/100+ds/10000);
break;
default :
printf("IOD Format not implemented\n");
p.flag=0;
break;
}
// Convert to degrees
ra*=15.0;
// Get precession epoch
if (epoch==0) {
p.ra=ra;
p.de=de;
return p;
} else if (epoch==4) {
mjd0=33281.9235;
} else if (epoch==5) {
mjd0=51544.5;
} else {
printf("Observing epoch not implemented\n");
p.flag=0;
}
// Precess position
precess(mjd0,ra,de,p.mjd,&p.ra,&p.de);
return p;
}
// Decode doppler Observations
struct doppler decode_doppler_observation(char *line)
{
struct doppler q;
struct site s;
float flux;
int site_id;
// Read line
sscanf(line,"%lf %lf %f %d",&q.mjd,&q.freq,&flux,&site_id);
// Get site
s=get_site(site_id);
// Get observer position
obspos_xyz(q.mjd,s.lng,s.lat,s.alt,&q.obspos,&q.obsvel);
return q;
}
// Read a line of maximum length int lim from file FILE into string s
int fgetline(FILE *file,char *s,int lim)
{
int c,i=0;
while (--lim > 0 && (c=fgetc(file)) != EOF && c != '\n')
s[i++] = c;
if (c == '\t')
c=' ';
if (c == '\n')
s[i++] = c;
s[i] = '\0';
return i;
}
// Read IOD data
struct data read_data(char *iodfname,char *dopfname)
{
int i=0;
char line[LIM];
FILE *file;
struct data d;
d.n=0;
d.m=0;
// Read IOD data
if (iodfname!=NULL) {
// Open file
file=fopen(iodfname,"r");
if (file==NULL) {
fprintf(stderr,"Failed to open %s\n",iodfname);
exit(1);
}
// Count lines
while (fgetline(file,line,LIM)>0)
i++;
d.n=i;
// Allocate
d.p=(struct point *) malloc(sizeof(struct point)*d.n);
// Rewind file
rewind(file);
// Read data
i=0;
while (fgetline(file,line,LIM)>0)
d.p[i++]=decode_iod_observation(line);
// Close file
fclose(file);
}
// Read doppler data
if (dopfname!=NULL) {
// Open file
file=fopen(iodfname,"r");
if (file==NULL) {
fprintf(stderr,"Failed to open %s\n",dopfname);
exit(1);
}
// Count lines
i=0;
while (fgetline(file,line,LIM)>0)
i++;
d.m=i;
// Allocate
d.q=(struct doppler *) malloc(sizeof(struct doppler)*d.m);
// Rewind file
rewind(file);
// Read data
i=0;
while (fgetline(file,line,LIM)>0)
d.q[i++]=decode_doppler_observation(line);
// Close file
fclose(file);
}
return d;
}
// Chi-squared
double chisq(double a[])
{
int i,imode,nsel;
double chisq,rms;
xyz_t satpos,satvel;
double dx,dy,dz;
double r;
// Construct struct
// a[0]: inclination
// a[1]: RA of ascending node
// a[2]: eccentricity
// a[3]: argument of periastron
// a[4]: mean anomaly
// a[5]: revs per day
if (a[2]<0.0)
a[2]=0.0;
if (a[0]<0.0) {
a[0]*=-1;
a[1]+=180.0;
} else if (a[0]>180.0) {
a[0]=180.0;
}
if (a[5]>20.0)
a[5]=20.0;
if (a[5]<0.05)
a[5]=0.05;
// Set parameters
orb.eqinc=RAD(a[0]);
orb.ascn=RAD(modulo(a[1],360.0));
orb.ecc=a[2];
orb.argp=RAD(modulo(a[3],360.0));
orb.mnan=RAD(modulo(a[4],360.0));
orb.rev=a[5];
orb.bstar=a[6];
// Initialize
imode=init_sgdp4(&orb);
if (imode==SGDP4_ERROR)
printf("Error\n");
// Loop over points
for (i=0,nsel=0,chisq=0.0,rms=0.0;i<d.n;i++) {
// Get satellite position
satpos_xyz(d.p[i].mjd+2400000.5,&satpos,&satvel);
// compute difference vector
dx=satpos.x-d.p[i].obspos.x;
dy=satpos.y-d.p[i].obspos.y;
dz=satpos.z-d.p[i].obspos.z;
// Celestial position
r=sqrt(dx*dx+dy*dy+dz*dz);
d.p[i].rac=modulo(atan2(dy,dx)*R2D,360.0);
d.p[i].dec=asin(dz/r)*R2D;
// Compute offset
forward(d.p[i].ra,d.p[i].de,d.p[i].rac,d.p[i].dec,&d.p[i].dx,&d.p[i].dy);
d.p[i].dr=sqrt(d.p[i].dx*d.p[i].dx+d.p[i].dy*d.p[i].dy);
if (d.p[i].flag==2) {
// Compute chi-squared
chisq+=pow(d.p[i].dr/d.p[i].sr,2);
// Compute rms
rms+=pow(d.p[i].dr,2);
// Count selected points
nsel++;
}
}
if (nsel>0)
rms=sqrt(rms/(float) nsel);
d.chisq=chisq;
d.rms=rms;
d.nsel=nsel;
return chisq;
}
// Read tle
orbit_t read_tle(char *filename,int satno)
{
int i;
FILE *file;
orbit_t orb;
file=fopen(filename,"r");
if (file==NULL)
fatal_error("Failed to open %s\n",filename);
// Read TLE
read_twoline(file,satno,&orb);
fclose(file);
return orb;
}
// MJD to DOY
double mjd2doy(double mjd,int *yr)
{
int year,month,k=2;
double day,doy;
mjd2date(mjd,&year,&month,&day);
if (year%4==0 && year%400!=0)
k=1;
doy=floor(275.0*month/9.0)-k*floor((month+9.0)/12.0)+day-30;
*yr=year;
return doy;
}
// Compute Date from Julian Day
void mjd2date(double mjd,int *year,int *month,double *day)
{
double f,jd;
int z,alpha,a,b,c,d,e;
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);
*day=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;
return;
}
// Format TLE
void format_tle(orbit_t orb,char *line1,char *line2)
{
int i,csum;
char sbstar[]=" 00000-0",bstar[13];
// Format Bstar term
if (fabs(orb.bstar)>1e-9) {
sprintf(bstar,"%11.4e",10*orb.bstar);
sbstar[0] = bstar[0]; sbstar[1] = bstar[1]; sbstar[2] = bstar[3]; sbstar[3] = bstar[4];
sbstar[4] = bstar[5]; sbstar[5] = bstar[6]; sbstar[6] = bstar[8]; sbstar[7] = bstar[10]; sbstar[8] = '\0';
}
// Print lines
sprintf(line1,"1 %05dU %-8s %2d%012.8f .00000000 00000-0 %8s 0 0",orb.satno,orb.desig,orb.ep_year-2000,orb.ep_day,sbstar);
sprintf(line2,"2 %05d %8.4f %8.4f %07.0f %8.4f %8.4f %11.8f 0",orb.satno,DEG(orb.eqinc),DEG(orb.ascn),1E7*orb.ecc,DEG(orb.argp),DEG(orb.mnan),orb.rev);
// Compute checksums
for (i=0,csum=0;i<strlen(line1);i++) {
if (isdigit(line1[i]))
csum+=line1[i]-'0';
else if (line1[i]=='-')
csum++;
}
sprintf(line1,"%s%d",line1,csum%10);
for (i=0,csum=0;i<strlen(line2);i++) {
if (isdigit(line2[i]))
csum+=line2[i]-'0';
else if (line2[i]=='-')
csum++;
}
sprintf(line2,"%s%d",line2,csum%10);
return;
}
// Highlight
void highlight(float x0,float y0,float x,float y,int flag)
{
int i;
float xmin,xmax,ymin,ymax;
xmin=(x0<x) ? x0 : x;
xmax=(x0>x) ? x0 : x;
ymin=(y0<y) ? y0 : y;
ymax=(y0>y) ? y0 : y;
for (i=0;i<d.n;i++)
if (d.p[i].ra>xmin && d.p[i].ra<xmax && d.p[i].de>ymin && d.p[i].de<ymax && d.p[i].flag!=0)
d.p[i].flag=flag;
return;
}
// Select time range
void time_range(double *mjdmin,double *mjdmax,int flag)
{
int i,n;
float c;
for (i=0,n=0;i<d.n;i++) {
if (d.p[i].flag==flag) {
if (n==0) {
*mjdmin=d.p[i].mjd;
*mjdmax=d.p[i].mjd;
}
if (d.p[i].mjd< *mjdmin) *mjdmin=d.p[i].mjd;
if (d.p[i].mjd> *mjdmax) *mjdmax=d.p[i].mjd;
n++;
}
}
c=0.1*(*mjdmax- *mjdmin);
*mjdmin-=c;
*mjdmax+=c;
return;
}
// Print TLE
void print_tle(orbit_t orb,char *filename)
{
int i,n;
FILE *file;
double mjdmin,mjdmax;
int year,month;
double day;
char line1[70],line2[70];
// Count number of points
for (i=0,n=0;i<d.n;i++) {
if (d.p[i].flag==2) {
if (n==0) {
mjdmin=d.p[i].mjd;
mjdmax=d.p[i].mjd;
}
if (d.p[i].mjd<mjdmin) mjdmin=d.p[i].mjd;
if (d.p[i].mjd>mjdmax) mjdmax=d.p[i].mjd;
n++;
}
}
// Write TLE
file=fopen(filename,"a");
format_tle(orb,line1,line2);
fprintf(file,"OBJ\n%s\n%s\n",line1,line2);
mjd2date(mjdmin,&year,&month,&day);
fprintf(file,"# %4d%02d%05.2lf-",year,month,day);
mjd2date(mjdmax,&year,&month,&day);
fprintf(file,"%4d%02d%05.2lf, %d measurements, %.3lf deg rms\n",year,month,day,n,d.rms);
fclose(file);
return;
}
// Fit
void fit(orbit_t orb,int *ia)
{
int i,n;
double a[7],da[7];
// double db[7]={5.0,5.0,0.1,5.0,5.0,0.5,0.0001};
// double db[7]={1.0,1.0,0.02,1.0,1.0,0.1,0.0001};
double db[7]={0.1,0.1,0.002,0.1,0.1,0.01,0.00001};
a[0]=orb.eqinc*R2D;
da[0]=da[0]*R2D;
a[1]=orb.ascn*R2D;
da[1]=da[1]*R2D;
a[2]=orb.ecc;
a[3]=orb.argp*R2D;
da[3]=da[3]*R2D;
a[4]=orb.mnan*R2D;
da[4]=da[4]*R2D;
a[5]=orb.rev;
a[6]=orb.bstar;
for (i=0;i<7;i++) {
if (ia[i]==1)
da[i]=db[i];
else
da[i]=0.0;
}
// Construct struct
// a[0]: inclination
// a[1]: RA of ascending node
// a[2]: eccentricity
// a[3]: argument of periastron
// a[4]: mean anomaly
// a[5]: revs per day
// a[6]: bstar
// Count highlighted points
for (i=0,n=0;i<d.n;i++)
if (d.p[i].flag==2)
n++;
if (n>0)
versafit(n,7,a,da,chisq,0.0,1e-6,"n");
// Return parameters
orb.eqinc=RAD(a[0]);
orb.ascn=RAD(modulo(a[1],360.0));
orb.ecc=a[2];
orb.argp=RAD(modulo(a[3],360.0));
orb.mnan=RAD(modulo(a[4],360.0));
orb.rev=a[5];
orb.bstar=a[6];
return;
}
void usage()
{
printf("satfit d:c:i:haCo:p\n\n");
printf("d IOD observations\n");
printf("c TLE catalog\n");
printf("i Satellite ID (NORAD)\n");
printf("C Fit circular orbit\n");
printf("p No plotting\n");
printf("o Output TLE file\n");
printf("a Adjust MA and RAAN\n");
printf("h This help\n");
return;
}
// nfd2mjd
double nfd2mjd(char *date)
{
int year,month,day,hour,min,sec;
double mjd,dday;
sscanf(date,"%04d-%02d-%02dT%02d:%02d:%02d",&year,&month,&day,&hour,&min,&sec);
dday=day+hour/24.0+min/1440.0+sec/86400.0;
mjd=date2mjd(year,month,dday);
return mjd;
}
// Dot product
double dot(xyz_t a,xyz_t b)
{
return a.x*b.x+a.y*b.y+a.z*b.z;
}
// Magnitude
double magnitude(xyz_t a)
{
return sqrt(dot(a,a));
}
// Cross product
xyz_t cross(xyz_t a,xyz_t b)
{
xyz_t c;
c.x=a.y*b.z-a.z*b.y;
c.y=a.z*b.x-a.x*b.z;
c.z=a.x*b.y-a.y*b.x;
return c;
}
// Clasical elements
orbit_t classel(int ep_year,double ep_day,xyz_t r,xyz_t v)
{
int i;
double rm,vm,vm2,rvm,mu=1.0;;
double chi,xp,yp,sx,cx,b,ee;
double a,ecc,incl,node,peri,mm,n;
xyz_t h,e,kk,nn;
orbit_t orb;
r.x/=XKMPER;
r.y/=XKMPER;
r.z/=XKMPER;
v.x/=(XKE*XKMPER/AE*XMNPDA/86400.0);
v.y/=(XKE*XKMPER/AE*XMNPDA/86400.0);
v.z/=(XKE*XKMPER/AE*XMNPDA/86400.0);
rm=magnitude(r);
vm2=dot(v,v);
rvm=dot(r,v);
h=cross(r,v);
chi=dot(h,h)/mu;
e.x=(vm2/mu-1.0/rm)*r.x-rvm/mu*v.x;
e.y=(vm2/mu-1.0/rm)*r.y-rvm/mu*v.y;
e.z=(vm2/mu-1.0/rm)*r.z-rvm/mu*v.z;
a=pow(2.0/rm-vm2/mu,-1);
ecc=magnitude(e);
incl=acos(h.z/magnitude(h))*R2D;
kk.x=0.0;
kk.y=0.0;
kk.z=1.0;
nn=cross(kk,h);
if (nn.x==0.0 && nn.y==0.0)
nn.x=1.0;
node=atan2(nn.y,nn.x)*R2D;
if (node<0.0)
node+=360.0;
peri=acos(dot(nn,e)/(magnitude(nn)*ecc))*R2D;
if (e.z<0.0)
peri=360.0-peri;
if (peri<0.0)
peri+=360.0;
// Elliptic motion
if (ecc<1.0) {
xp=(chi-rm)/ecc;
yp=rvm/ecc*sqrt(chi/mu);
b=a*sqrt(1.0-ecc*ecc);
cx=xp/a+ecc;
sx=yp/b;
ee=atan2(sx,cx);
n=XKE*sqrt(mu/(a*a*a));
mm=(ee-ecc*sx)*R2D;
}
if (mm<0.0)
mm+=360.0;
// Fill
orb.satno=0;
orb.eqinc=incl*D2R;
orb.ascn=node*D2R;
orb.argp=peri*D2R;
orb.mnan=mm*D2R;
orb.ecc=ecc;
orb.rev=XKE*pow(a,-3.0/2.0)*XMNPDA/(2.0*M_PI);
orb.bstar=0.0;
orb.ep_year=ep_year;
orb.ep_day=ep_day;
orb.norb=0;
return orb;
}
// Position and velocity to elements
orbit_t rv2el(int satno,double mjd,xyz_t r0,xyz_t v0)
{
int i,imode;
orbit_t orb[5],orb1[5];
xyz_t r,v;
kep_t kep;
char line1[70],line2[70];
int ep_year;
double ep_day;
// Epoch
ep_day=mjd2doy(mjd,&ep_year);
// Initial guess
orb[0]=classel(ep_year,ep_day,r0,v0);
orb[0].satno=satno;
for (i=0;i<4;i++) {
// Propagate
imode=init_sgdp4(&orb[i]);
imode=satpos_xyz(mjd+2400000.5,&r,&v);
// Compute initial orbital elements
orb1[i]=classel(ep_year,ep_day,r,v);
// Adjust
orb[i+1].rev=orb[i].rev+orb[0].rev-orb1[i].rev;
orb[i+1].ascn=orb[i].ascn+orb[0].ascn-orb1[i].ascn;
orb[i+1].argp=orb[i].argp+orb[0].argp-orb1[i].argp;
orb[i+1].mnan=orb[i].mnan+orb[0].mnan-orb1[i].mnan;
orb[i+1].eqinc=orb[i].eqinc+orb[0].eqinc-orb1[i].eqinc;
orb[i+1].ecc=orb[i].ecc+orb[0].ecc-orb1[i].ecc;
orb[i+1].ep_year=orb[i].ep_year;
orb[i+1].ep_day=orb[i].ep_day;
orb[i+1].satno=orb[i].satno;
orb[i+1].norb=orb[i].norb;
orb[i+1].bstar=orb[i].bstar;
// Keep in range
if (orb[i+1].ecc<0.0)
orb[i+1].ecc=0.0;
if (orb[i+1].eqinc<0.0)
orb[i+1].eqinc=0.0;
}
orb[i].mnan=modulo(orb[i].mnan,2.0*M_PI);
orb[i].ascn=modulo(orb[i].ascn,2.0*M_PI);
orb[i].argp=modulo(orb[i].argp,2.0*M_PI);
return orb[i];
}
// Get a x and y from a RA and Decl
void forward(double ra0,double de0,double ra,double de,double *x,double *y)
{
int i,status;
double phi,theta;
struct celprm cel;
// Initialize Reference Angles
celini(&cel);
cel.ref[0]=ra0;
cel.ref[1]=de0;
cel.ref[2]=999.;
cel.ref[3]=999.;
cel.flag=0.;
strcpy(cel.prj.code,"STG");
if (celset(&cel)) {
printf("Error in Projection (celset)\n");
return;
}
cels2x(&cel,1,0,1,1,&ra,&de,&phi,&theta,x,y,&status);
return;
}