| 1 | /* find rise and set circumstances, ie, riset_cir() and related functions. */
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| 2 | 
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| 3 | #include <stdio.h>
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| 4 | #include <math.h>
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| 5 | #include <stdlib.h>
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| 6 | #include <string.h>
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| 7 | 
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| 8 | #include "astro.h"
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| 9 | 
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| 10 | #define TMACC   (10./3600./24.0)        /* convergence accuracy, days */
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| 11 | 
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| 12 | static void e_riset_cir (Now *np, Obj *op, double dis, RiseSet *rp);
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| 13 | static int find_0alt (double dt, double dis, Now *np, Obj *op);
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| 14 | static int find_transit (double dt, Now *np, Obj *op);
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| 15 | static int find_max (Now *np, Obj *op, double tr, double ts, double *tp,
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| 16 |     double *alp);
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| 17 | 
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| 18 | /* find where and when an object, op, will rise and set and
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| 19 |  *   it's transit circumstances. all times are utc mjd, angles rads e of n.
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| 20 |  * dis is the angle down from an ideal horizon, in rads (see riset()).
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| 21 |  * N.B. dis should NOT include refraction, we do that here.
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| 22 |  */
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| 23 | void
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| 24 | riset_cir (Now *np, Obj *op, double dis, RiseSet *rp)
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| 25 | {
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| 26 |         double mjdn;    /* mjd of local noon */
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| 27 |         double lstn;    /* lst at local noon */
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| 28 |         double lr, ls;  /* lst rise/set times */
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| 29 |         double ar, as;  /* az of rise/set */
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| 30 |         double ran;     /* RA at noon */
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| 31 |         Now n;          /* copy to move time around */
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| 32 |         Obj o;          /* copy to get circumstances at n */
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| 33 |         int rss;        /* temp status */
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| 34 | 
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| 35 |         /* work with local copies so we can move the time around */
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| 36 |         (void) memcpy ((void *)&n, (void *)np, sizeof(n));
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| 37 |         (void) memcpy ((void *)&o, (void *)op, sizeof(o));
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| 38 | 
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| 39 |         /* fast Earth satellites need a different approach.
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| 40 |          * "fast" here is pretty arbitrary -- just too fast to work with the
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| 41 |          * iterative approach based on refining the times for a "fixed" object.
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| 42 |          */
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| 43 |         if (op->o_type == EARTHSAT && op->es_n > FAST_SAT_RPD) {
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| 44 |             e_riset_cir (&n, &o, dis, rp);
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| 45 |             return;
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| 46 |         }
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| 47 | 
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| 48 |         /* assume no problems initially */
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| 49 |         rp->rs_flags = 0;
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| 50 | 
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| 51 |         /* start the iteration at local noon */
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| 52 |         mjdn = mjd_day(mjd - tz/24.0) + tz/24.0 + 0.5;
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| 53 |         n.n_mjd = mjdn;
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| 54 |         now_lst (&n, &lstn);
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| 55 | 
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| 56 |         /* first approximation is to find rise/set times of a fixed object
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| 57 |          * at the current epoch in its position at local noon.
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| 58 |          * N.B. add typical refraction if dis is above horizon for initial
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| 59 |          *   go/no-go test. if it passes, real code does refraction rigorously.
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| 60 |          */
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| 61 |         n.n_mjd = mjdn;
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| 62 |         if (obj_cir (&n, &o) < 0) {
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| 63 |             rp->rs_flags = RS_ERROR;
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| 64 |             return;
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| 65 |         }
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| 66 |         ran = o.s_gaera;
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| 67 |         riset (o.s_gaera, o.s_gaedec, lat, dis+(dis>.01 ? 0 : .01), &lr, &ls,
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| 68 |                                                                 &ar, &as, &rss);
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| 69 |         switch (rss) {
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| 70 |         case  0:  break;
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| 71 |         case  1: rp->rs_flags = RS_NEVERUP; return;
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| 72 |         case -1: rp->rs_flags = RS_CIRCUMPOLAR; goto dotransit;
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| 73 |         default: rp->rs_flags = RS_ERROR; return;
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| 74 |         }
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| 75 | 
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| 76 |         /* iterate to find better rise time */
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| 77 |         n.n_mjd = mjdn;
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| 78 |         switch (find_0alt ((lr - lstn)/SIDRATE, dis, &n, &o)) {
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| 79 |         case 0: /* ok */
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| 80 |             rp->rs_risetm = n.n_mjd;
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| 81 |             rp->rs_riseaz = o.s_az;
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| 82 |             break;
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| 83 |         case -1: /* obj_cir error */
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| 84 |             rp->rs_flags |= RS_RISERR;
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| 85 |             break;
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| 86 |         case -2: /* converged but not today */ /* FALLTHRU */
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| 87 |         case -3: /* probably never up */
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| 88 |             rp->rs_flags |= RS_NORISE;
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| 89 |             break;
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| 90 |         }
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| 91 | 
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| 92 |         /* iterate to find better set time */
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| 93 |         n.n_mjd = mjdn;
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| 94 |         switch (find_0alt ((ls - lstn)/SIDRATE, dis, &n, &o)) {
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| 95 |         case 0: /* ok */
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| 96 |             rp->rs_settm = n.n_mjd;
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| 97 |             rp->rs_setaz = o.s_az;
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| 98 |             break;
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| 99 |         case -1: /* obj_cir error */
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| 100 |             rp->rs_flags |= RS_SETERR;
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| 101 |             break;
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| 102 |         case -2: /* converged but not today */ /* FALLTHRU */
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| 103 |         case -3: /* probably circumpolar */
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| 104 |             rp->rs_flags |= RS_NOSET;
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| 105 |             break;
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| 106 |         }
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| 107 | 
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| 108 |         /* can try transit even if rise or set failed */
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| 109 |     dotransit:
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| 110 |         n.n_mjd = mjdn;
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| 111 |         switch (find_transit ((radhr(ran) - lstn)/SIDRATE, &n, &o)) {
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| 112 |         case 0: /* ok */
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| 113 |             rp->rs_trantm = n.n_mjd;
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| 114 |             rp->rs_tranalt = o.s_alt;
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| 115 |             break;
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| 116 |         case -1: /* did not converge */
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| 117 |             rp->rs_flags |= RS_TRANSERR;
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| 118 |             break;
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| 119 |         case -2: /* converged but not today */
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| 120 |             rp->rs_flags |= RS_NOTRANS;
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| 121 |             break;
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| 122 |         }
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| 123 | }
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| 124 | 
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| 125 | /* find local times when sun is dis rads below horizon.
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| 126 |  */
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| 127 | void
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| 128 | twilight_cir (Now *np, double dis, double *dawn, double *dusk, int *status)
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| 129 | {
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| 130 |         RiseSet rs;
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| 131 |         Obj o;
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| 132 | 
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| 133 |         memset (&o, 0, sizeof(o));
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| 134 |         o.o_type = PLANET;
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| 135 |         o.pl_code = SUN;
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| 136 |         (void) strcpy (o.o_name, "Sun");
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| 137 |         riset_cir (np, &o, dis, &rs);
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| 138 |         *dawn = rs.rs_risetm;
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| 139 |         *dusk = rs.rs_settm;
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| 140 |         *status = rs.rs_flags;
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| 141 | }
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| 142 | 
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| 143 | /* find where and when a fast-moving Earth satellite, op, will rise and set and
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| 144 |  *   it's transit circumstances. all times are mjd, angles rads e of n.
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| 145 |  * dis is the angle down from the local topo horizon, in rads (see riset()).
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| 146 |  * idea is to walk forward in time looking for alt+dis==0 crossings.
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| 147 |  * initial time step is a few degrees (based on average daily motion).
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| 148 |  * we stop as soon as we see both a rise and set.
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| 149 |  * N.B. we assume *np and *op are working copies we can mess up.
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| 150 |  */
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| 151 | static void
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| 152 | e_riset_cir (Now *np, Obj *op, double dis, RiseSet *rp)
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| 153 | {
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| 154 | #define DEGSTEP 5               /* time step is about this many degrees */
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| 155 |         int steps;              /* max number of time steps */
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| 156 |         double dt;              /* time change per step, days */
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| 157 |         double t0, t1;          /* current and next mjd values */
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| 158 |         double a0, a1;          /* altitude at t0 and t1 */
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| 159 |         int rise, set;          /* flags to check when we find these events */
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| 160 |         int i;
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| 161 | 
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| 162 |         dt = DEGSTEP * (1.0/360.0/op->es_n);
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| 163 |         steps = (int)(1.0/dt);
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| 164 |         rise = set = 0;
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| 165 |         rp->rs_flags = 0;
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| 166 | 
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| 167 |         if (obj_cir (np, op) < 0) {
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| 168 |             rp->rs_flags |= RS_ERROR;
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| 169 |             return;
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| 170 |         }
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| 171 | 
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| 172 |         t0 = mjd;
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| 173 |         a0 = op->s_alt + dis;
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| 174 | 
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| 175 |         for (i = 0; i < steps && (!rise || !set); i++) {
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| 176 |             mjd = t1 = t0 + dt;
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| 177 |             if (obj_cir (np, op) < 0) {
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| 178 |                 rp->rs_flags |= RS_ERROR;
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| 179 |                 return;
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| 180 |             }
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| 181 |             a1 = op->s_alt + dis;
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| 182 | 
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| 183 |             if (a0 < 0 && a1 > 0 && !rise) {
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| 184 |                 /* found a rise event -- interate to refine */
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| 185 |                 switch (find_0alt (0.0, dis, np, op)) {
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| 186 |                 case 0: /* ok */
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| 187 |                     rp->rs_risetm = np->n_mjd;
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| 188 |                     rp->rs_riseaz = op->s_az;
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| 189 |                     rise = 1;
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| 190 |                     break;
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| 191 |                 case -1: /* obj_cir error */
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| 192 |                     rp->rs_flags |= RS_RISERR;
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| 193 |                     return;
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| 194 |                 case -2: /* converged but not today */ /* FALLTHRU */
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| 195 |                 case -3: /* probably never up */
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| 196 |                     rp->rs_flags |= RS_NORISE;
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| 197 |                     return;
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| 198 |                 }
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| 199 |             } else if (a0 > 0 && a1 < 0 && !set) {
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| 200 |                 /* found a setting event -- interate to refine */
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| 201 |                 switch (find_0alt (0.0, dis, np, op)) {
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| 202 |                 case 0: /* ok */
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| 203 |                     rp->rs_settm = np->n_mjd;
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| 204 |                     rp->rs_setaz = op->s_az;
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| 205 |                     set = 1;
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| 206 |                     break;
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| 207 |                 case -1: /* obj_cir error */
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| 208 |                     rp->rs_flags |= RS_SETERR;
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| 209 |                     return;
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| 210 |                 case -2: /* converged but not today */ /* FALLTHRU */
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| 211 |                 case -3: /* probably circumpolar */
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| 212 |                     rp->rs_flags |= RS_NOSET;
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| 213 |                     return;
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| 214 |                 }
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| 215 |             }
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| 216 | 
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| 217 |             t0 = t1;
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| 218 |             a0 = a1;
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| 219 |         }
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| 220 | 
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| 221 |         /* instead of transit, for satellites we find time of maximum
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| 222 |          * altitude, if we know both the rise and set times and the former
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| 223 |          * occurs before the latter.
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| 224 |          */
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| 225 |         if (rise && set && rp->rs_risetm < rp->rs_settm) {
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| 226 |             double tt, al;
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| 227 |             if (find_max (np, op, rp->rs_risetm, rp->rs_settm, &tt, &al) < 0) {
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| 228 |                 rp->rs_flags |= RS_TRANSERR;
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| 229 |                 return;
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| 230 |             }
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| 231 |             rp->rs_trantm = tt;
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| 232 |             rp->rs_tranalt = al;
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| 233 |         } else
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| 234 |             rp->rs_flags |= RS_NOTRANS;
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| 235 | 
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| 236 |         /* check for some bad conditions */
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| 237 |         if (!rise) {
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| 238 |             if (a0 > 0)
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| 239 |                 rp->rs_flags |= RS_CIRCUMPOLAR;
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| 240 |             else
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| 241 |                 rp->rs_flags |= RS_NORISE;
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| 242 |         }
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| 243 |         if (!set) {
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| 244 |             if (a0 < 0)
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| 245 |                 rp->rs_flags |= RS_NEVERUP;
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| 246 |             else
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| 247 |                 rp->rs_flags |= RS_NOSET;
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| 248 |         }
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| 249 | }
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| 250 | 
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| 251 | /* given a Now at noon and a dt from noon, in hours, for a first approximation
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| 252 |  * to a rise or set event, refine the event by searching for when alt+dis = 0.
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| 253 |  * return 0: if find one within 12 hours of noon with np and op set to the
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| 254 |  *    better time and circumstances;
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| 255 |  * return -1: if error from obj_cir;
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| 256 |  * return -2: if converges but not today;
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| 257 |  * return -3: if does not converge at all (probably circumpolar or never up);
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| 258 |  */
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| 259 | static int
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| 260 | find_0alt (
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| 261 | double dt,      /* hours from noon to first guess at event */
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| 262 | double dis,     /* horizon displacement, rads */
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| 263 | Now *np,        /* working Now -- starts with mjd is noon, returns as answer */
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| 264 | Obj *op)        /* working object -- returns as answer */
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| 265 | {
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| 266 | #define MAXPASSES       20              /* max iterations to try */
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| 267 | #define FIRSTSTEP       (1.0/60.0/24.0) /* first time step, days */
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| 268 | 
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| 269 |         double a0 = 0;
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| 270 |         double mjdn = mjd;
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| 271 |         int npasses;
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| 272 | 
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| 273 |         /* insure initial guess is today -- if not, move by 24 hours */
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| 274 |         if (dt < -12.0 && !find_0alt (dt+24, dis, np, op))
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| 275 |             return (0);
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| 276 |         mjd = mjdn;
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| 277 |         if (dt > 12.0 && !find_0alt (dt-24, dis, np, op))
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| 278 |             return (0);
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| 279 |         mjd = mjdn;
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| 280 |         
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| 281 |         /* convert dt to days for remainder of algorithm */
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| 282 |         dt /= 24.0;
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| 283 | 
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| 284 |         /* use secant method to look for s_alt + dis == 0 */
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| 285 |         npasses = 0;
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| 286 |         do {
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| 287 |             double a1;
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| 288 | 
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| 289 |             mjd += dt;
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| 290 |             if (obj_cir (np, op) < 0)
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| 291 |                 return (-1);
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| 292 |             a1 = op->s_alt;
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| 293 | 
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| 294 |             dt = (npasses == 0) ? FIRSTSTEP : (dis+a1)*dt/(a0-a1);
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| 295 |             a0 = a1;
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| 296 | 
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| 297 |         } while (++npasses < MAXPASSES && fabs(dt) > TMACC);
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| 298 | 
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| 299 |         /* return codes */
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| 300 |         if (npasses == MAXPASSES)
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| 301 |             return (-3);
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| 302 |         return (fabs(mjdn-mjd) < .5 ? 0 : -2);
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| 303 | 
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| 304 | #undef  MAXPASSES
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| 305 | #undef  FIRSTSTEP
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| 306 | }
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| 307 | 
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| 308 | /* find when the given object transits. start the search when LST matches the
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| 309 |  *   object's RA at noon.
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| 310 |  * if ok, return 0 with np and op set to the transit conditions; if can't
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| 311 |  *   converge return -1; if converges ok but not today return -2.
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| 312 |  * N.B. we assume np is passed set to local noon.
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| 313 |  */
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| 314 | static int
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| 315 | find_transit (double dt, Now *np, Obj *op)
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| 316 | {
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| 317 | #define MAXLOOPS        10
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| 318 | #define MAXERR          (0.25/60.)              /* hours */
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| 319 |         double mjdn = mjd;
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| 320 |         double lst;
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| 321 |         int i;
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| 322 | 
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| 323 |         /* insure initial guess is today -- if not, move by 24 hours */
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| 324 |         if (dt < -12.0)
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| 325 |             dt += 24.0;
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| 326 |         if (dt > 12.0)
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| 327 |             dt -= 24.0;
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| 328 | 
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| 329 |         i = 0;
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| 330 |         do {
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| 331 |             mjd += dt/24.0;
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| 332 |             if (obj_cir (np, op) < 0)
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| 333 |                 return (-1);
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| 334 |             now_lst (np, &lst);
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| 335 |             dt = (radhr(op->s_gaera) - lst);
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| 336 |             if (dt < -12.0)
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| 337 |                 dt += 24.0;
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| 338 |             if (dt > 12.0)
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| 339 |                 dt -= 24.0;
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| 340 |         } while (++i < MAXLOOPS && fabs(dt) > MAXERR);
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| 341 | 
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| 342 |         /* return codes */
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| 343 |         if (i == MAXLOOPS)
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| 344 |             return (-1);
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| 345 |         return (fabs(mjd - mjdn) < 0.5 ? 0 : -2);
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| 346 | 
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| 347 | #undef  MAXLOOPS
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| 348 | #undef  MAXERR
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| 349 | }
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| 350 | 
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| 351 | /* find the mjd time of max altitude between the given rise and set times.
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| 352 |  * N.B. we assume *np and *op are working copies we can mess up.
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| 353 |  * N.B. we just assume max occurs at the center time.
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| 354 |  * return 0 if ok, else -1.
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| 355 |  */
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| 356 | static int
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| 357 | find_max (
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| 358 | Now *np,
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| 359 | Obj *op,
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| 360 | double tr, double ts,           /* times of rise and set */
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| 361 | double *tp, double *alp)        /* time of max altitude, and that altitude */
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| 362 | {
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| 363 |         mjd = (ts + tr)/2;
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| 364 |         if (obj_cir (np, op) < 0)
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| 365 |             return (-1);
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| 366 |         *tp = mjd;
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| 367 |         *alp = op->s_alt;
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| 368 |         return (0);
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| 369 | }
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| 370 | 
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| 371 | /* For RCS Only -- Do Not Edit */
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| 372 | static char *rcsid[2] = {(char *)rcsid, "@(#) $RCSfile: riset_cir.c,v $ $Date: 2006-11-22 13:53:30 $ $Revision: 1.6 $ $Name: not supported by cvs2svn $"};
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