File: astcheck.cpp

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/* astcheck.cpp: an off-line 'MPChecker'

Copyright (C) 2010, Project Pluto

This program is free software; you can redistribute it and/or
modify it under the terms of the GNU General Public License
as published by the Free Software Foundation; either version 2
of the License, or (at your option) any later version.

This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
GNU General Public License for more details.

You should have received a copy of the GNU General Public License
along with this program; if not, write to the Free Software
Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
02110-1301, USA.    */

#include <math.h>
#include <time.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <assert.h>
#include "watdefs.h"
#include "date.h"
#include "comets.h"
#include "afuncs.h"
#include "mpc_func.h"

#define PI 3.1415926535897932384626433832795028841971693993751058209749445923
#define LOG_10 2.3025850929940456840179914546843642076011014886287729760333279009675726
const double radians_to_arcsec = 180. * 3600. / PI;

int get_earth_loc( const double t_millennia, double *results);
int extract_sof_data( ELEMENTS *elem, const char *buff, const char *header);

static int get_mpc_data( const char *buff, double *jd, double *ra, double *dec)
{
   int err_code;

   if( strlen( buff) < 80 || strlen( buff) > 83)
      err_code = -5;
   else
      err_code = get_ra_dec_from_mpc_report( buff, NULL, ra, NULL,
                                                NULL, dec, NULL);
   *jd = extract_date_from_mpc_report( buff, NULL);
   return( err_code);
}

static inline double law_of_cosines( const double a, const double b, const double c)
{
   return( .5 * (a * a + b * b - c * c) / (a * b));
}

static double calc_obs_magnitude( ELEMENTS *elem, const double obj_sun,
                      const double obj_earth, const double earth_sun)
{
   double magnitude;

   if( !elem->abs_mag)
      magnitude = 0.;
   else if( !elem->is_asteroid)
      magnitude = elem->slope_param * log( obj_sun);
   else
      {
      const double cos_phase_ang =
                  law_of_cosines( obj_sun, obj_earth, earth_sun);
      const double half_phase_ang = acose( cos_phase_ang) / 2.;
      const double log_tan_half_phase = log( tan( half_phase_ang));
      const double phi1 = exp( -3.33 * exp( log_tan_half_phase * 0.63));
      const double phi2 = exp( -1.87 * exp( log_tan_half_phase * 1.22));

      if( cos_phase_ang > 1. || cos_phase_ang < -1.)
         printf( "???? Triangle error: %f %f %f\n", obj_sun, obj_earth, earth_sun);
      magnitude = 5. * log( obj_sun)
                           -2.5 * log( (1. - elem->slope_param) * phi1
                                            + elem->slope_param * phi2);
      }
   magnitude += 5. * log( obj_earth);
   magnitude /= LOG_10;      /* cvt from natural logs to common (base 10) */
   magnitude += elem->abs_mag;
   return( magnitude);
}

static int16_t integerize_angle( double angle)
{
   const int iangle = (int)floor( angle * 32768. / PI + .5);

   return( (int16_t)iangle);
}

#define AST_DATA struct AST_DATA

#pragma pack(2)
AST_DATA
   {
   int16_t ra, dec;                /* in 360/65536 degrees */
   };
#pragma pack( )

#define MAX_SOF_SIZE 200

static FILE *orbits_file;
static int n_asteroids, record_length;
int verbose = 0;
const char *data_path = NULL;
char sof_header[MAX_SOF_SIZE];
int32_t sof_checksum;

static FILE *get_sof_file( const char *filename)
{
   FILE *ifile = fopen( filename, "rb");
   char buff[450];

   if( !ifile && data_path)
      {
      strcpy( buff, data_path);
      strcat( buff, filename);
      ifile = fopen( buff, "rb");
      }

   if( ifile)
      {
      int filelen;
      size_t i, j;

      if( !fgets( buff, sizeof( buff), ifile))
         {
         fprintf( stderr, "Unable to read '%s'\n", filename);
         exit( -4);
         }
      record_length = (int)strlen( buff);
      assert( record_length < MAX_SOF_SIZE);
      strcpy( sof_header, buff);
      fseek( ifile, 0L, SEEK_END);
      filelen = ftell( ifile);
      if( filelen % record_length)
         {
         printf( "'%s' appears to be corrupted.\n", filename);
         exit( -5);
         }
      n_asteroids = filelen / record_length;
      for( i = 0; i < 4; i++)
         {
         const int32_t big_prime = 1234567891;

         fseek( ifile, (long)( i * (filelen - sizeof( buff))) / 3L, SEEK_SET);
         if( fread( buff, sizeof( buff), 1, ifile))
            for( j = 0; j < sizeof( buff); j++)
               sof_checksum = sof_checksum * big_prime + (int32_t)buff[i];
         }
      fseek( ifile, 0L, SEEK_SET);
      if( verbose)
         printf( "'%s': %d objects; record size %d\n",
                      filename, n_asteroids, record_length);
      }
   return( ifile);
}

static double obj_sun_dist;

static double compute_asteroid_loc( const double *earth_loc,
            ELEMENTS *elem, const double jd, double *ra, double *dec)
{
   double r1 = 0., dist, asteroid_loc[4];
   int i;

   do             /* light-time lag:  should converge _very_ fast       */
      {           /* it'll almost always require exactly two iterations */
      dist = r1;
      comet_posn( elem, jd - dist / AU_PER_DAY, asteroid_loc);
      for( i = 0; i < 3; i++)
         asteroid_loc[i] -= earth_loc[i];
      r1 = vector3_length( asteroid_loc);
      }
      while( fabs( dist - r1) > .001);
   ecliptic_to_equatorial( asteroid_loc);
   *ra = atan2( asteroid_loc[1], asteroid_loc[0]);
   *dec = asin( asteroid_loc[2] / r1);
   obj_sun_dist = asteroid_loc[3];
   return( r1);
}

AST_DATA *compute_day_data( const long ijd)
{
   char tbuff[300];
   int i, counter = 0;
   AST_DATA *rval;
   const double jd = (double)ijd;
   double earth_loc[6];
   clock_t t0 = clock( );

   if( verbose)
      printf( "Computing data for %ld (%d asteroids)\n", ijd, n_asteroids);
   rval = (AST_DATA *)malloc( n_asteroids * sizeof( AST_DATA));
   if( !rval)
      {
      printf( "OUT OF MEMORY\n");
      return( NULL);
      }
   get_earth_loc( (jd      - 2451545.) / 365250., earth_loc);
   fseek( orbits_file, (long)record_length, SEEK_SET);
   tbuff[record_length] = '\0';
   for( i = 0; i < n_asteroids && fgets( tbuff, sizeof( tbuff), orbits_file); i++)
      {
      ELEMENTS class_elem;
      double ra, dec;

      if( extract_sof_data( &class_elem, tbuff, sof_header))
         {
         printf( "'mpcorb.sof' data doesn't parse correctly:\n%s\n", tbuff);
         exit( -1);
         }

      compute_asteroid_loc( earth_loc, &class_elem, jd, &ra, &dec);

      rval[i].ra = integerize_angle( ra);
      rval[i].dec = integerize_angle( dec);
      if( verbose && counter <= i * 80 / n_asteroids)
         {
         printf( "%d", counter % 10);
         counter++;
         }
      }
   if( verbose)
      printf( "\nTime: %.1f seconds\n",
                  (clock( ) - t0) / (double)CLOCKS_PER_SEC);
   return( rval);
}

static double centralize_angle( double ang)
{
   while( ang > PI)
      ang -= PI + PI;
   while( ang < -PI)
      ang += PI + PI;
   return( ang);
}

/* In loading up the 'day data' (basically a low-precision RA/dec for */
/* the geocentric position of each asteroid as of a certain day),  we */
/* attempt to open a file for that day of the form YYYYMMDD.chk.  If  */
/* the file is opened,  and the header indicates the correct version, */
/* number of asteroids,  and checksum, we just load up the data       */
/* from the file and return.                                          */
/*   If we don't find the file,  or the header doesn't match,  then   */
/* we call the above 'compute_day_data',  and write that data out to  */
/* a .chk file so we don't have to recompute it all the next time.    */

#define HEADER_SIZE 4

static AST_DATA *get_cached_day_data( const int ijd)
{
   char filename[20];
   FILE *ifile, *ofile;
   int32_t header[HEADER_SIZE];
   const int32_t magic_version_number = 1314159266;
   AST_DATA *rval;

                  /* Create a filename in 'YYYYMMDD.chk' form: */
   full_ctime( filename, (double)ijd, FULL_CTIME_YMD | FULL_CTIME_NO_SPACES
                     | FULL_CTIME_DATE_ONLY | FULL_CTIME_MONTHS_AS_DIGITS
                     | FULL_CTIME_LEADING_ZEROES);
   strcat( filename, ".chk");
   if( verbose > 2)
      printf( "Creating '%s'\n", filename);
   ifile = fopen( filename, "rb");
   if( ifile)
      {
      if( !fread( header, HEADER_SIZE, sizeof( int), ifile))
         {
         printf( "Error reading header data in '%s'\n", filename);
         exit( -2);
         }
      if( header[0] != magic_version_number
                   || header[1] != sof_checksum || header[2] != n_asteroids)
         fclose( ifile);
      else   /* appears to be legitimate cached data */
         {
         rval = (AST_DATA *)malloc( n_asteroids * sizeof( AST_DATA));
         if( !rval)
            {
            printf( "Ran out of memory\n");
            exit( -4);
            }
         if( !fread( rval, n_asteroids, sizeof( AST_DATA), ifile))
            {
            printf( "Error in asteroid data in '%s'\n", filename);
            exit( -3);
            }
         fclose( ifile);
         return( rval);
         }
      }
   rval = compute_day_data( ijd);
   header[0] = magic_version_number;
   header[1] = sof_checksum;
   header[2] = n_asteroids;
   header[3] = -1;         /* not currently used */
   ofile = fopen( filename, "wb");
   fwrite( header, HEADER_SIZE, sizeof( int), ofile);
   fwrite( rval, n_asteroids, sizeof( AST_DATA), ofile);
   fclose( ofile);

   return( rval);
}

         /* Figuring out if an RA 'x' is between two RAs 'bound1' */
         /* and 'bound2' is complicated by the discontinuity at   */
         /* +/-180 degrees (or +/-32768 of the angular units used */
         /* in this program.)                                     */
static int is_between( int bound1, int bound2, int x, int tolerance)
{
   int rval;

   bound1 -= x;
   bound2 -= x;
   while( bound1 + bound2 < -65536)
      {
      bound1 += 65536;
      bound2 += 65536;
      }
   while( bound1 + bound2 > 65536)
      {
      bound1 -= 65536;
      bound2 -= 65536;
      }
   if( bound1 < bound2)
      rval = (0 >= bound1 - tolerance && 0 <= bound2 + tolerance);
   else
      rval = (0 >= bound2 - tolerance && 0 <= bound1 + tolerance);
   return( rval);
}

int qsort_mpc_cmp( const void *elem1, const void *elem2)
{
   const char **buff1 = (const char **)elem1;
   const char **buff2 = (const char **)elem2;
   int compare = memcmp( *buff1, *buff2, 12);

   if( !compare)     /* same ID;  now compare times */
      compare = memcmp( (*buff1) + 15, (*buff2) + 15, 16);
   return( compare);
}

   /* To compute observed object motion,  this code grabs the RA/dec */
   /* of the first observation;  then looks ahead for observations   */
   /* of the same object from the same station.  The difference      */
   /* between the pair gives motion.  Except we want to use a pair   */
   /* far enough apart to show real motion,  but not so far apart    */
   /* that sky curvature or acceleration are factors.                */
   /*    Return value is the JD of the observation used to determine */
   /* the motion.                                                    */

static double compute_motion( const char **lines, const int n_lines,
                           double *ra_motion, double *dec_motion)
{
   double ra, dec, jd, rval = 0.;
   int i;

   *ra_motion = *dec_motion = 0.;
   get_mpc_data( lines[0], &jd, &ra, &dec);
   for( i = 1; i < n_lines && !memcmp( lines[0], lines[i], 12); i++)
      if( !memcmp( lines[0] + 77, lines[i] + 77, 3))
         {
         double ra1, dec1, jd1;
         const double five_degrees = PI / 36.;

         if( !get_mpc_data( lines[i], &jd1, &ra1, &dec1)
                && fabs( jd1 - jd) < 10.   /* within ten days... */
                && fabs( ra1 - ra) < five_degrees
                && fabs( dec1 - dec) < five_degrees)
            {
            *ra_motion = (ra1 - ra) / (jd1 - jd);
            *dec_motion = (dec1 - dec) / (jd1 - jd);
            *ra_motion *= cos( dec);
                     /* cvt radians/day to arcsec/hr: */
            *ra_motion *= radians_to_arcsec  / 24.;
            *dec_motion *= radians_to_arcsec / 24.;
            rval = jd1;
            }
         }
   return( rval);
}

void observer_cartesian_coords( const double jd, const double lon,
              const double rho_cos_phi, const double rho_sin_phi,
              double *vect)
{
   const double angle = lon + green_sidereal_time( jd);
   const double earth_major_axis = 6378140. / AU_IN_METERS;

   *vect++ = cos( angle) * rho_cos_phi * earth_major_axis;
   *vect++ = sin( angle) * rho_cos_phi * earth_major_axis;
   *vect++ = rho_sin_phi               * earth_major_axis;
}

static double get_topo_loc( const double jd, double *topo_loc, const double lon,
              const double rho_cos_phi, const double rho_sin_phi)
{
   double earth_loc[6];
   int i;

   get_earth_loc( (jd - 2451545.) / 365250., earth_loc);
   observer_cartesian_coords( jd, lon, rho_cos_phi, rho_sin_phi, topo_loc);
   equatorial_to_ecliptic( topo_loc);
   for( i = 0; i < 3; i++)
      topo_loc[i] += earth_loc[i];
   return( vector3_length( topo_loc));
}

static void err_message( void)
{
   printf( "\nastcheck needs the name of a file containing MPC-formatted (80-column)\n");
   printf( "astrometric data.  It will then attempt to match the records to known\n");
   printf( "objects in the 'mpcorb.sof' file.\n\n");
   printf( "Command-line options are:\n\n");
   printf( "   -r(dist)   Set search distance to 'dist' arcseconds. Default is 3600.\n");
   printf( "   -z(tol)    Set motion match tolerance to 'tol' arcsec/hr. Default is 10.\n");
   printf( "   -m(mag)    Set limiting mag to 'mag'.  Default is 22.\n");
   printf( "   -l         Show distance from line of variations. Experimental.\n");
}

static void show_astcheck_info( void)
{
   printf( "ASTCHECK version %s %s\n", __DATE__, __TIME__);
   printf( "%d objects\n", n_asteroids);
}

#if defined(_MSC_VER) && _MSC_VER < 1900
                      /* For older MSVCs,  we have to supply our own  */
                      /* snprintf().  See snprintf.cpp for details.  */
int snprintf( char *string, const size_t max_len, const char *format, ...);
#endif

#define MAX_RESULTS 500

#ifdef CGI_VERSION
int astcheck_main( const int argc, const char **argv)
#else
int main( const int argc, const char **argv)
#endif
{
   double jd, ra, dec;
   FILE *ifile;
   const char *sof_filename = "mpcorb.sof";
   char buff[90];
   char **ilines;
   int show_lov = 0;
   int i, n_ilines = 0, n;
   int n_lines_printed = 0;
   double tolerance_in_arcsec = 18000.;       /* = five degrees */
   double mag_limit = 22.;
   AST_DATA *day_data[2] = { NULL, NULL};
   long curr_loaded_day_data = 0;
   FILE *mpc_station_file = fopen( "ObsCodes.html", "rb");
   char curr_station[7];
   double rho_sin_phi = 0., rho_cos_phi = 0., longitude = 0.;
   double motion_tolerance = 10.;  /* require a match to within 10"/hr */

   if( !mpc_station_file)        /* perhaps stored with truncated extension? */
      mpc_station_file = fopen( "ObsCodes.htm", "rb");
   if( !mpc_station_file)
      printf( "ObsCodes.html not found; parallax won't be included!\n");
   curr_station[0] = '\0';

   for( i = 2; i < argc; i++)
      if( argv[i][0] == '-')
         switch( argv[i][1])
            {
            case 'r':
               tolerance_in_arcsec = atof( argv[i] + 2);
               break;
            case 'v':
               setvbuf( stdout, NULL, _IONBF, 0);
               verbose = 1 + atoi( argv[i] + 2);
               break;
            case 'm':
               mag_limit = atof( argv[i] + 2);
               break;
            case 'p':
               data_path = argv[i] + 2;
               break;
            case 'l':
               show_lov = 1;
               break;
            case 'z':
               motion_tolerance = atof( argv[i] + 2);
               break;
#ifdef NOT_READY_QUITE_YET
            case 'e':
               show_uncertainty = 1;
               break;
#endif
            case 'f':
               sof_filename = argv[i] + 2;
               break;
            default:
               printf( "%s: unrecognized command-line option\n", argv[i]);
               break;
            }
   if( argc < 2)
      {
      printf( "No input file name specified\n");
      err_message( );
      return( -1);
      }
   ifile = fopen( argv[1], "rb");
   if( !ifile)
      printf( "%s not opened\n", argv[1]);
   orbits_file = get_sof_file( sof_filename);
   if( !orbits_file)
      {
      printf( "Couldn't open '%s'\n", sof_filename);
      err_message( );
      return( -2);
      }
   if( !ifile)
      {
      err_message( );
      return( -3);
      }

               /* Run through input file and count lines of astrometry: */
   while( fgets( buff, sizeof( buff), ifile))
      if( !get_mpc_data( buff, &jd, &ra, &dec))
         n_ilines++;

   if( !n_ilines)
      {
      printf( "No astrometry found in '%s'\n", argv[1]);
      err_message( );
      return( -1);
      }
               /* Allocate memory for astrometry lines, then read 'em: */
   ilines = (char **)malloc( n_ilines * sizeof( char *));
   n_ilines = 0;
   fseek( ifile, 0L, SEEK_SET);
   while( fgets( buff, sizeof( buff), ifile))
      if( !get_mpc_data( buff, &jd, &ra, &dec))
         {
         ilines[n_ilines] = (char *)malloc( strlen( buff) + 1);
         strcpy( ilines[n_ilines], buff);
         n_ilines++;
         }
   qsort( ilines, n_ilines, sizeof( char **), qsort_mpc_cmp);
   for( n = 0; n < n_ilines; n++)
      if( (!n || memcmp( ilines[n], ilines[n - 1], 12)) &&
                       !get_mpc_data( ilines[n], &jd, &ra, &dec))
         {
         double earth_loc[6], earth_loc2[6];
         double ra_motion = 0., dec_motion = 0., earth_sun_dist;
         const double cos_dec = cos( dec);
         const int16_t int_dec = (int16_t)integerize_angle( dec);
         const int16_t int_ra  = (int16_t)integerize_angle( ra);
         const double delta_t = td_minus_ut( jd) / seconds_per_day;
         double jd2;
         const int16_t tolerance = (int16_t)
                          ( tolerance_in_arcsec * 65536 / (360. * 3600.));
         char *results[MAX_RESULTS + 1];
         char tbuff[300];
         int n_results = 0;
         int n_checked = 0;

         jd += delta_t;
         if( mpc_station_file && memcmp( ilines[n] + 77, curr_station, 3))
            {
            int got_station_data = 0;

            strcpy( curr_station, ilines[n] + 77);
            curr_station[3] = '\0';
            fseek( mpc_station_file, 0L, SEEK_SET);
            rho_sin_phi = rho_cos_phi = longitude = 0.;
            while( !got_station_data &&
                           fgets( tbuff, sizeof( tbuff), mpc_station_file))
               got_station_data = !memcmp( tbuff, curr_station, 3);
            if( got_station_data)
               sscanf( tbuff + 3, "%lf%lf%lf",
                                     &longitude, &rho_cos_phi, &rho_sin_phi);
            if( !got_station_data)
               printf( "FAILED to find MPC code %s\n", curr_station);
            longitude *= PI / 180.;
            }

         if( curr_loaded_day_data != (int)jd || !day_data[0] || !day_data[1])
            {
            if( day_data[0])
               free( day_data[0]);
            if( day_data[1])
               free( day_data[1]);
            day_data[0] = get_cached_day_data( (int)jd);
            day_data[1] = get_cached_day_data( (int)jd + 1);
            curr_loaded_day_data = (int)jd;
            }
         if( !n)     /* on our very first object: */
            {
            show_astcheck_info( );
            printf( "An explanation of these data is given at the bottom of the list.\n");
            printf( "                             d_ra   d_dec    dist    mag  motion \n");
            }
         if( verbose)
            printf( "JD %f, RA %f, dec %f\n",
                     jd, ra * 180. / PI, dec * 180. / PI);
         jd2 = compute_motion( (const char **)ilines + n, n_ilines - n,
                                 &ra_motion, &dec_motion);
         jd2 += delta_t;
         earth_sun_dist =
               get_topo_loc( jd, earth_loc, longitude, rho_cos_phi, rho_sin_phi);
         get_topo_loc( jd2, earth_loc2, longitude, rho_cos_phi, rho_sin_phi);
         memcpy( buff, ilines[n], 12);
         buff[12] = '\0';
         if( ra_motion || dec_motion)
#ifdef CGI_VERSION
            printf( "\n<b>%s: %.0f\"/hr in RA, %.0f\"/hr in dec (%.2f hours)</b>\n",
#else
            printf( "\n%s: %.0f\"/hr in RA, %.0f\"/hr in dec (%.2f hours)\n",
#endif
                        buff, ra_motion, dec_motion, (jd2 - jd) * 24.);
         else
            printf( "\n%s: only one observation\n", buff);
         n_lines_printed++;
         for( i = 0; i < n_asteroids; i++)
            {
            const int16_t tolerance2 = tolerance;

            assert( day_data[0]);
            assert( day_data[1]);
            if( is_between( day_data[0][i].ra, day_data[1][i].ra, int_ra, tolerance2 + 5))
               if( is_between( day_data[0][i].dec, day_data[1][i].dec, int_dec, tolerance2 + 5))
                  {
                  ELEMENTS class_elem;
                  double ra1, dec1, mag;
                  double earth_obj_dist, dist;

                  n_checked++;
                  fseek( orbits_file, (i + 1) * record_length, SEEK_SET);
                  if( !fgets( tbuff, sizeof( tbuff), orbits_file) ||
                           extract_sof_data( &class_elem, tbuff, sof_header))
                     {
                     fprintf( stderr, "Couldn't read .sof elements\n");
                     exit( -1);
                     }
                  class_elem.is_asteroid = 1;
                  if( tbuff[1] == '/' || strchr( "APXCD", tbuff[3]))
                     class_elem.is_asteroid = 0;   /* it's a comet */
                  earth_obj_dist = compute_asteroid_loc( earth_loc, &class_elem, jd,
                           &ra1, &dec1);
                  mag = calc_obs_magnitude( &class_elem, obj_sun_dist,
                              earth_obj_dist, earth_sun_dist);
                           /* Cvt ra1, dec1 to be relative to observation point: */
                  ra1 = centralize_angle( ra1 - ra) * cos_dec;
                  dec1 -= dec;
                  dist = sqrt( ra1 * ra1 + dec1 * dec1);
                  dist *= radians_to_arcsec;
                  if( mag < mag_limit && dist < tolerance_in_arcsec)
                     {
                     double computed_ra_motion, computed_dec_motion;
                     double dt_in_hours = (jd2 - jd) * 24.;

                         /* Compute asteroid posn at second time for motion: */
                     compute_asteroid_loc( earth_loc2, &class_elem, jd2,
                              &computed_ra_motion, &computed_dec_motion);
                     computed_ra_motion =
                           centralize_angle( computed_ra_motion - ra) * cos_dec;
                     computed_ra_motion -= ra1;
                     computed_dec_motion -= dec + dec1;
                                 /* cvt motions from radians/day to "/hour: */
                     computed_ra_motion *=  radians_to_arcsec / dt_in_hours;
                     computed_dec_motion *= radians_to_arcsec / dt_in_hours;
                     if( fabs( computed_dec_motion - dec_motion) < motion_tolerance &&
                           fabs( computed_ra_motion - ra_motion) < motion_tolerance)
                        {
                        double ra2, dec2, lov_len, dist_from_lov;
                        int j;

                             /* Compute asteroid posn .1 days later, but same */
                             /* earth loc, for LOV computation:               */
                        compute_asteroid_loc( earth_loc, &class_elem, jd + .1,
                              &ra2, &dec2);
                        ra2 = centralize_angle( ra2 - ra) * cos_dec;
                        dec2 -= dec;
                        ra2 -= ra1;       /* (ra2, dec2) is now a vector pointing */
                        dec2 -= dec1;     /* along the LOV                        */
                        lov_len = sqrt( ra2 * ra2 + dec2 * dec2);
                        dist_from_lov = (ra1 * dec2 - ra2 * dec1) / lov_len;

                        snprintf( tbuff + 26, sizeof( tbuff) - 26,
                              "%6.0f %6.0f  %6.0f  %4.1f %5.0f%5.0f",
                              -ra1 * radians_to_arcsec,
                              -dec1 * radians_to_arcsec, dist,
                              mag, computed_ra_motion, computed_dec_motion);
                        if( !class_elem.abs_mag)
                           memset( tbuff + 49, '-', 4);
                        memset( tbuff + 12, ' ', 14);
//                      snprintf( tbuff + strlen( tbuff), sizeof( tbuff) - strlen( tbuff),
//                                            "  %.4f", earth_obj_dist);
                        if( show_lov)
                           snprintf( tbuff + strlen( tbuff),
                                           sizeof( tbuff) - strlen( tbuff),
                                           "  %6.0f",
                                           dist_from_lov * radians_to_arcsec);
                        for( j = 0; j < n_results
                                     && atof( results[j] + 39) < dist; j++)
                           ;
                        memmove( results + j + 1, results + j,
                                           (n_results - j) * sizeof( char *));
                        results[j] = (char *)malloc( strlen( tbuff) + 1);
                        strcpy( results[j], tbuff);
                        if( n_results < MAX_RESULTS)
                           n_results++;
                        }
                     }
                  }
            }
         for( i = 0; i < n_results; i++)
            {
            printf( "%s\n", results[i]);
            free( results[i]);
            }
         n_lines_printed += n_results;
         if( verbose)
            printf( "%d objects had to be checked\n", n_checked);
         }
   for( i= 0; i < n_ilines; i++)
      free( ilines[i]);
   free( ilines);
   if( day_data[0])
      free( day_data[0]);
   if( day_data[1])
      free( day_data[1]);
   printf( "The apparent motion and arc length for each object are shown,  followed\n"
           "by a list of possible matches,  in order of increasing distance.  For\n"
           "each match,  the separation is shown,  both in RA and dec,  and then\n"
           "the 'total' separation,  all in arcseconds.  Next,  the magnitude and\n"
           "apparent motion of the possible match are shown.  All motions are in\n"
           "arcseconds per hour.\n");
   if( !mpc_station_file)
      printf( "ObsCodes.html not found; parallax wasn't included!\n");
   else
      fclose( mpc_station_file);
   printf( "\nRun time: %.1f seconds\n",
                  (double)clock( ) / (double)CLOCKS_PER_SEC);
                     /* If the output was quite long,  re-display */
                     /* the explanation of the output :           */
   if( n_lines_printed > 40)
      show_astcheck_info( );
   return( 0);
}