1422 lines
28 KiB
C
1422 lines
28 KiB
C
#include <stdio.h>
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#include <string.h>
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#include <stdlib.h>
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#include <math.h>
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#include "cpgplot.h"
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#include "cel.h"
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#include "sgdp4h.h"
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#include <getopt.h>
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#define LIM 80
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#define NMAX 256
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#define D2R M_PI/180.0
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#define R2D 180.0/M_PI
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#define XKMPER 6378.135 // Earth radius in km
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#define XKMPAU 149597879.691 // AU in km
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#define FLAT (1.0/298.257)
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long Isat=0;
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long Isatsel=0;
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extern double SGDP4_jd0;
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char satid[10]="13500A";
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struct point {
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int flag,satno;
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double mjd,ra,de,rac,dec;
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float st,sr;
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char iod_line[LIM];
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double dx,dy,dr,dt;
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xyz_t obspos;
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};
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struct data {
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int n,nsel;
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struct point *p;
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double chisq,rms;
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} d;
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struct site {
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int id;
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double lng,lat;
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float alt;
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char observer[64];
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};
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orbit_t orb;
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struct site get_site(int site_id);
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struct point decode_iod_observation(char *iod_line);
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int fgetline(FILE *file,char *s,int lim);
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double modulo(double x,double y);
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double gmst(double mjd);
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double dgmst(double mjd);
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double date2mjd(int year,int month,double day);
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double mjd2doy(double mjd,int *yr);
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void mjd2date(double mjd,int *year,int *month,double *day);
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void obspos_xyz(double mjd,double lng,double lat,float alt,xyz_t *pos,xyz_t *vel);
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void precess(double mjd0,double ra0,double de0,double mjd,double *ra,double *de);
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void forward(double ra0,double de0,double ra,double de,double *x,double *y);
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struct data read_data(char *filename);
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void versafit(int m,int n,double *a,double *da,double (*func)(double *),double dchisq,double tol,char *opt);
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double chisq(double a[]);
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orbit_t read_tle(char *filename,int satno);
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void format_tle(orbit_t orb,char *line1,char *line2);
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void highlight(float x0,float y0,float x,float y,int flag);
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void time_range(double *mjdmin,double *mjdmax,int flag);
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void print_tle(orbit_t orb,char *filename);
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void fit(orbit_t orb,int *ia);
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void usage();
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xyz_t get_position(double r0,int i0)
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{
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int i;
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double rr,drr,r;
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xyz_t pos;
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double x,y,z;
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// Initial range
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rr=100.0;
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do {
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x=d.p[i0].obspos.x+rr*cos(d.p[i0].ra*D2R)*cos(d.p[i0].de*D2R);
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y=d.p[i0].obspos.y+rr*sin(d.p[i0].ra*D2R)*cos(d.p[i0].de*D2R);
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z=d.p[i0].obspos.z+rr*sin(d.p[i0].de*D2R);
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r=sqrt(x*x+y*y+z*z);
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drr=r-r0;
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rr-=drr;
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} while (fabs(drr)>0.01);
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pos.x=x;
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pos.y=y;
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pos.z=z;
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return pos;
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}
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int period_search(void)
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{
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int i,j,i1,i2;
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float dt;
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int nrev,nrevmin,nrevmax;
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char line1[70],line2[70];
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int ia[7];
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// Set fitting parameters
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for (i=0;i<6;i++)
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ia[i]=1;
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ia[6]=0;
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// Select all points
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for (i=0;i<d.n;i++)
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d.p[i].flag=2;
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// Print observations
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printf("Present observations:\n");
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for (i=0;i<d.n;i++)
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printf("%3d: %s\n",i+1,d.p[i].iod_line);
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printf("\nSelect center observations of both arcs: ");
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scanf("%d %d",&i1,&i2);
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dt=d.p[i2].mjd-d.p[i1].mjd;
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printf("\nTime passed: %f days\n",dt);
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printf("Provide revolution range to search over [min,max]: ");
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scanf("%d %d",&nrevmin,&nrevmax);
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for (nrev=nrevmin;nrev<nrevmax+1;nrev++) {
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orb.satno=79000+nrev;
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orb.rev=nrev/dt;
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// Set parameters
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for (i=0;i<7;i++)
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ia[i]=0;
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// Loop over parameters
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for (i=0;i<6;i++) {
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if (i==0) ia[4]=1;
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if (i==1) ia[1]=1;
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if (i==2) ia[0]=1;
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if (i==3) ia[3]=1;
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if (i==4) ia[2]=1;
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if (i==5) ia[5]=1;
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for (j=0;j<5;j++)
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fit(orb,ia);
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}
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format_tle(orb,line1,line2);
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printf("%s\n%s\n# %d revs, %f revs/day, %f\n",line1,line2,nrev,nrev/dt,d.rms);
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}
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return;
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}
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int psearch(void)
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{
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int i,satno=99300;
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double mjdmin,mjdmax;
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int ia[7]={0,0,0,0,0,0,0};
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double ecc,eccmin,eccmax,decc;
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double rev,revmin,revmax,drev;
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double argp,argpmin,argpmax,dargp;
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char line1[70],line2[70];
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FILE *file;
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// Provide
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printf("Mean motion [min, max, stepsize]: \n");
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scanf("%lf %lf %lf",&revmin,&revmax,&drev);
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printf("Eccentricity [min, max, stepsize]: \n");
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scanf("%lf %lf %lf",&eccmin,&eccmax,&decc);
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// printf("Argument of perigee [min, max, stepsize]: \n");
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// scanf("%lf %lf %lf",&argpmin,&argpmax,&dargp);
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// Step 1: select all points
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// for (i=0;i<d.n;i++)
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// d.p[i].flag=2;
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// Step 2: get time range
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time_range(&mjdmin,&mjdmax,2);
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file=fopen("search.dat","w");
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// Step 4: Loop over eccentricity
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for (rev=revmin;rev<revmax;rev+=drev) {
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for (ecc=eccmin;ecc<eccmax;ecc+=decc) {
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// for (argp=argpmin;argp<argpmax;argp+=dargp) {
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orb.satno=satno;
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orb.ecc=ecc;
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orb.rev=rev;
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//orb.argp=argp*D2R;
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// Set parameters
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for (i=0;i<7;i++)
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ia[i]=0;
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// Step 4: loop over parameters
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for (i=0;i<5;i++) {
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if (i==0) ia[4]=1;
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if (i==1) ia[1]=1;
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if (i==2) ia[0]=1;
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// if (i==3) ia[5]=1;
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if (i==4) ia[3]=1;
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// Do fit
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fit(orb,ia);
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}
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fit(orb,ia);
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fit(orb,ia);
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fit(orb,ia);
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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);
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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);
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}
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fprintf(file,"\n");
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// }
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}
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fclose(file);
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return orb.satno;
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}
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int circular_fit(void)
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{
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int i;
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double mjdmin,mjdmax;
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int ia[7]={0,0,0,0,0,0,0};
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// Step 1: select all points
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// for (i=0;i<d.n;i++)
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// d.p[i].flag=2;
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// Step 2: get time range
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time_range(&mjdmin,&mjdmax,2);
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// Step 3: set initial orbit
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orb.satno=d.p[0].satno;
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orb.eqinc=0.5*M_PI;
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orb.ascn=0.0;
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orb.ecc=0.0;
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orb.argp=0.0;
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orb.mnan=0.0;
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orb.rev=14.0;
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orb.bstar=0.5e-4;
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orb.ep_day=mjd2doy(0.5*(mjdmin+mjdmax),&orb.ep_year);
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// Step 4: loop over parameters
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for (i=0;i<4;i++) {
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if (i==0) ia[4]=1;
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if (i==1) ia[1]=1;
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if (i==2) ia[0]=1;
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if (i==3) ia[5]=1;
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// Do fit
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fit(orb,ia);
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}
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fit(orb,ia);
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return orb.satno;
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}
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int adjust_fit(void)
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{
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int i;
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double mjdmin,mjdmax;
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int ia[6]={0,0,0,0,0,0};
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// Step 1: select all points
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for (i=0;i<d.n;i++)
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d.p[i].flag=2;
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// Step 2: loop over parameters
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for (i=0;i<2;i++) {
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if (i==0) ia[4]=1;
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if (i==1) ia[1]=1;
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// Do fit
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fit(orb,ia);
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}
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fit(orb,ia);
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return orb.satno;
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}
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void old_circular_fit(void)
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{
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int i,j,i0,i1;
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float r0=6500;
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xyz_t pos0,pos1;
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double ang,dt,w,w0;
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// Get end points
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for (i=0,j=0;i<d.n;i++) {
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if (d.p[i].flag==2) {
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if (j==0)
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i0=i;
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i1=i;
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j++;
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}
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}
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// Time difference
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dt=86400.0*(d.p[i1].mjd-d.p[i0].mjd);
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i=0;
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do {
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w0=360.0/(2.0*M_PI*sqrt(r0*r0*r0/398600));
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// Get positions
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pos0=get_position(r0,i0);
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pos1=get_position(r0,i1);
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// Compute angle
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ang=acos((pos0.x*pos1.x+pos0.y*pos1.y+pos0.z*pos1.z)/(r0*r0))*R2D;
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// Angular motion (deg/sec);
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w=ang/dt;
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r0+=1000.0*(w0-w);
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i++;
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} while (fabs(w0-w)>1e-5 && i<1000);
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printf("%f\n",r0);
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return;
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}
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int main(int argc,char *argv[])
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{
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int i,j,nobs=0;
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int redraw=1,plot_residuals=0,adjust=0,quit=0;
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int ia[]={0,0,0,0,0,0,0};
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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};
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char c;
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int mode=0,posn=0,click=0;
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float x0,y0,x,y;
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float xmin=0.0,xmax=360.0,ymin=-90.0,ymax=90.0;
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char string[64],bstar[10]=" 50000-4",line0[72],line1[72],line2[72],text[10];
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char filename[64];
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int satno=-1;
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double mjdmin,mjdmax;
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int arg=0,elset=0,circular=0,tleout=0,noplot=0;
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char *datafile,*catalog,tlefile[LIM];
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orbit_t orb0;
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// Decode options
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while ((arg=getopt(argc,argv,"d:c:i:haCo:p"))!=-1) {
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switch(arg) {
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case 'd':
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datafile=optarg;
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break;
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case 'c':
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catalog=optarg;
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break;
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case 'i':
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satno=atoi(optarg);
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break;
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case 'C':
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circular=1;
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break;
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case 'p':
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noplot=1;
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break;
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case 'o':
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tleout=1;
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strcpy(tlefile,optarg);
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break;
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case 'h':
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usage();
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return 0;
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break;
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case 'a':
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adjust=1;
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break;
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default:
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usage();
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return 0;
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}
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}
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// Read data
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d=read_data(datafile);
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time_range(&mjdmin,&mjdmax,1);
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// Read TLE
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if (satno>=0) {
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orb=read_tle(catalog,satno);
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}
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freopen("/tmp/stderr.txt","w",stderr);
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// Fit circular orbit
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if (circular==1) {
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for (i=0;i<d.n;i++)
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d.p[i].flag=2;
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satno=circular_fit();
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plot_residuals=1;
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quit=1;
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// Dump tle
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if (tleout==1)
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print_tle(orb,tlefile);
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}
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// Adjust
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if (adjust==1) {
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orb0=orb;
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adjust_fit();
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fit(orb,ia);
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printf("%05d %8.3f %8.3f %8.3f %s %8.3f\n",satno,DEG(orb.mnan-orb0.mnan),DEG(orb.ascn-orb0.ascn),d.rms,datafile,mjdmin-(SGDP4_jd0-2400000.5));
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plot_residuals=1;
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redraw=1;
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quit=1;
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// Dump tle
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if (tleout==1)
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print_tle(orb,tlefile);
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}
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// Exit before plotting
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if (quit==1 && noplot==1) {
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free(d.p);
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fclose(stderr);
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return 0;
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}
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cpgopen("/xs");
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cpgask(0);
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// For ever loop
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for (;;) {
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if (redraw==1) {
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cpgpage();
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cpgsvp(0.1,0.95,0.0,0.18);
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cpgswin(0.0,1.0,-0.5,0.5);
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// Buttons
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cpgtext(0.12,-0.05,"Inclination");
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cpgtext(0.372,-0.05,"Eccentricity");
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cpgtext(0.62,-0.05,"Mean Anomaly");
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cpgtext(0.87,-0.05,"B\\u*\\d");
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cpgtext(0.12,-0.3,"Ascending Node");
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cpgtext(0.37,-0.3,"Arg. of Perigee");
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cpgtext(0.62,-0.3,"Mean Motion");
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// Toggles
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for (i=0;i<7;i++) {
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cpgpt1(dx[i],dy[i],19);
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if (ia[i]==1) {
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cpgsci(2);
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cpgpt1(dx[i],dy[i],16);
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cpgsci(1);
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}
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}
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// Plot map
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cpgsvp(0.1,0.9,0.2,0.9);
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cpgswin(xmax,xmin,ymin,ymax);
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cpgbox("BCTSN",0.,0,"BCTSN",0.,0);
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cpglab("Right Ascension","Declination"," ");
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if (satno>0) {
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// Plot tle
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format_tle(orb,line1,line2);
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cpgmtxt("T",2.0,0.0,0.0,line1);
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cpgmtxt("T",1.0,0.0,0.0,line2);
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}
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// Plot points
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for (i=0;i<d.n;i++) {
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if (d.p[i].flag>=1) {
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cpgpt1(d.p[i].ra,d.p[i].de,17);
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sprintf(text," %d",i+1);
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cpgtext(d.p[i].ra,d.p[i].de,text);
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if (plot_residuals==1) {
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cpgmove(d.p[i].ra,d.p[i].de);
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cpgdraw(d.p[i].rac,d.p[i].dec);
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}
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if (d.p[i].flag==2) {
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cpgsci(2);
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cpgpt1(d.p[i].ra,d.p[i].de,4);
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cpgsci(1);
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}
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}
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}
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}
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// Quit
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if (quit==1)
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break;
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// Get cursor
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cpgband(mode,posn,x0,y0,&x,&y,&c);
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// Quit
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if (c=='q' || c=='Q')
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break;
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// Period search
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if (c=='P') {
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period_search();
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}
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// Fit
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if (c=='f') {
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// 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=='h') {
|
|
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;
|
|
}
|
|
|
|
// 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(satid,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=99999;
|
|
orb.ep_day=mjd2doy(0.5*(mjdmin+mjdmax),&orb.ep_year);
|
|
satno=99999;
|
|
if (elset==0) {
|
|
orb.eqinc=0.5*M_PI;
|
|
orb.ascn=0.0;
|
|
orb.ecc=0.0;
|
|
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=0.0;
|
|
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=63.4*D2R;
|
|
orb.ascn=0.0;
|
|
orb.ecc=0.7;
|
|
orb.argp=0.0;
|
|
orb.mnan=0.0;
|
|
orb.rev=2.0;
|
|
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();
|
|
|
|
free(d.p);
|
|
|
|
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;
|
|
}
|
|
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);
|
|
|
|
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==1852 && 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];
|
|
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 site
|
|
sscanf(iod_line+16,"%4d",&site_id);
|
|
s=get_site(site_id);
|
|
|
|
// 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;
|
|
}
|
|
|
|
// Get a x and y from an AZI, ALT
|
|
void forward(double ra0,double de0,double ra,double de,double *x,double *y)
|
|
{
|
|
int i;
|
|
double phi,theta;
|
|
struct celprm cel;
|
|
struct prjprm prj;
|
|
|
|
// Initialize Projection Parameters
|
|
prj.flag=0;
|
|
prj.r0=0.;
|
|
for (i=0;i<10;prj.p[i++]=0.);
|
|
|
|
// Initialize Reference Angles
|
|
cel.ref[0]=ra0;
|
|
cel.ref[1]=de0;
|
|
cel.ref[2]=999.;
|
|
cel.ref[3]=999.;
|
|
cel.flag=0.;
|
|
|
|
if (celset("STG",&cel,&prj)) {
|
|
printf("Error in Projection (celset)\n");
|
|
return;
|
|
} else {
|
|
if (celfwd("STG",ra,de,&cel,&phi,&theta,&prj,x,y)) {
|
|
printf("Error in Projection (celfwd)\n");
|
|
return;
|
|
}
|
|
}
|
|
|
|
return;
|
|
}
|
|
|
|
// 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 data
|
|
struct data read_data(char *filename)
|
|
{
|
|
int i=0;
|
|
char line[LIM];
|
|
FILE *file;
|
|
struct data d;
|
|
|
|
// Open file
|
|
file=fopen(filename,"r");
|
|
if (file==NULL) {
|
|
fprintf(stderr,"Failed to open %s\n",filename);
|
|
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);
|
|
|
|
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]<0.1)
|
|
a[5]=0.1;
|
|
|
|
|
|
// 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,satid,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,"w");
|
|
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 kHz 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};
|
|
|
|
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 <data file> -c [tle catalog] -i [satno] -h\n\ndata file: Tabulated doppler curve\ntle catalog: Catalog with TLE's (optional)\nsatno: Satellite to load from TLE catalog (optional)\n\n");
|
|
|
|
return;
|
|
}
|