| 1 | #include <stdlib.h>
 | 
|---|
| 2 | #include <math.h>
 | 
|---|
| 3 | #undef SING
 | 
|---|
| 4 | 
 | 
|---|
| 5 | #include "sattypes.h"
 | 
|---|
| 6 | #include "vector.h"
 | 
|---|
| 7 | #include "satspec.h"
 | 
|---|
| 8 | 
 | 
|---|
| 9 | /*      SDP4                                               3 NOV 80 */
 | 
|---|
| 10 | /*      SUBROUTINE SDP4(IFLAG,TSINCE)
 | 
|---|
| 11 |       COMMON/E1/XMO,XNODEO,OMEGAO,EO,XINCL,XNO,XNDT2O,
 | 
|---|
| 12 |      1           XNDD6O,BSTAR,X,Y,Z,XDOT,YDOT,ZDOT,EPOCH,DS50
 | 
|---|
| 13 |       COMMON/C1/CK2,CK4,E6A,QOMS2T,S,TOTHRD,
 | 
|---|
| 14 |      1           XJ3,XKE,XKMPER,XMNPDA,AE
 | 
|---|
| 15 |       DOUBLE PRECISION EPOCH, DS50
 | 
|---|
| 16 |       */
 | 
|---|
| 17 | 
 | 
|---|
| 18 | #define XMO     (sat->elem->se_XMO)
 | 
|---|
| 19 | #define XNODEO  (sat->elem->se_XNODEO)
 | 
|---|
| 20 | #define OMEGAO  (sat->elem->se_OMEGAO)
 | 
|---|
| 21 | #define EO      (sat->elem->se_EO)
 | 
|---|
| 22 | #define XINCL   (sat->elem->se_XINCL)
 | 
|---|
| 23 | #define XNO     (sat->elem->se_XNO)
 | 
|---|
| 24 | #define XNDT20  (sat->elem->se_XNDT20)
 | 
|---|
| 25 | #define XNDD60  (sat->elem->se_XNDD60)
 | 
|---|
| 26 | #define BSTAR   (sat->elem->se_BSTAR)
 | 
|---|
| 27 | #define EPOCH   (sat->elem->se_EPOCH)
 | 
|---|
| 28 | 
 | 
|---|
| 29 | #define CK2     (5.413080e-04)
 | 
|---|
| 30 | #define CK4     (6.209887e-07)
 | 
|---|
| 31 | #define QOMS2T  (1.880279e-09)
 | 
|---|
| 32 | #define S       (1.012229e+00)
 | 
|---|
| 33 | 
 | 
|---|
| 34 | #define AE (1.0)
 | 
|---|
| 35 | #define DE2RA (.174532925E-1)
 | 
|---|
| 36 | #define E6A (1.E-6)
 | 
|---|
| 37 | #define PI (3.14159265)
 | 
|---|
| 38 | #define PIO2 (1.57079633)
 | 
|---|
| 39 | #define QO (120.0)
 | 
|---|
| 40 | #define SO (78.0)
 | 
|---|
| 41 | #define TOTHRD (.66666667)
 | 
|---|
| 42 | #define TWOPI (6.2831853)
 | 
|---|
| 43 | #define X3PIO2 (4.71238898)
 | 
|---|
| 44 | #define XJ2 (1.082616E-3)
 | 
|---|
| 45 | #define XJ3 (-.253881E-5)
 | 
|---|
| 46 | #define XJ4 (-1.65597E-6)
 | 
|---|
| 47 | #define XKE (.743669161E-1)
 | 
|---|
| 48 | #define XKMPER (6378.135)
 | 
|---|
| 49 | #define XMNPDA (1440.)
 | 
|---|
| 50 | 
 | 
|---|
| 51 | /* int IFLAG; */
 | 
|---|
| 52 | 
 | 
|---|
| 53 | #define X       (pos->sl_X)
 | 
|---|
| 54 | #define XDOT    (pos->sl_XDOT)
 | 
|---|
| 55 | #define Y       (pos->sl_Y)
 | 
|---|
| 56 | #define YDOT    (pos->sl_YDOT)
 | 
|---|
| 57 | #define Z       (pos->sl_Z)
 | 
|---|
| 58 | #define ZDOT    (pos->sl_ZDOT)
 | 
|---|
| 59 | 
 | 
|---|
| 60 | /* sat->prop.sdp4-> */
 | 
|---|
| 61 | #define AODP    (sat->prop.sdp4->sdp4_AODP)
 | 
|---|
| 62 | #define AYCOF   (sat->prop.sdp4->sdp4_AYCOF)
 | 
|---|
| 63 | #define BETAO   (sat->prop.sdp4->sdp4_BETAO)
 | 
|---|
| 64 | #define BETAO2  (sat->prop.sdp4->sdp4_BETAO2)
 | 
|---|
| 65 | #define C1      (sat->prop.sdp4->sdp4_C1)
 | 
|---|
| 66 | #define C4      (sat->prop.sdp4->sdp4_C4)
 | 
|---|
| 67 | #define COSG    (sat->prop.sdp4->sdp4_COSG)
 | 
|---|
| 68 | #define COSIO   (sat->prop.sdp4->sdp4_COSIO)
 | 
|---|
| 69 | #define EOSQ    (sat->prop.sdp4->sdp4_EOSQ)
 | 
|---|
| 70 | #define OMGDOT  (sat->prop.sdp4->sdp4_OMGDOT)
 | 
|---|
| 71 | #define SING    (sat->prop.sdp4->sdp4_SING)
 | 
|---|
| 72 | #define SINIO   (sat->prop.sdp4->sdp4_SINIO)
 | 
|---|
| 73 | #define T2COF   (sat->prop.sdp4->sdp4_T2COF)
 | 
|---|
| 74 | #define THETA2  (sat->prop.sdp4->sdp4_THETA2)
 | 
|---|
| 75 | #define X1MTH2  (sat->prop.sdp4->sdp4_X1MTH2)
 | 
|---|
| 76 | #define X3THM1  (sat->prop.sdp4->sdp4_X3THM1)
 | 
|---|
| 77 | #define X7THM1  (sat->prop.sdp4->sdp4_X7THM1)
 | 
|---|
| 78 | #define XLCOF   (sat->prop.sdp4->sdp4_XLCOF)
 | 
|---|
| 79 | #define XMDOT   (sat->prop.sdp4->sdp4_XMDOT)
 | 
|---|
| 80 | #define XNODCF  (sat->prop.sdp4->sdp4_XNODCF)
 | 
|---|
| 81 | #define XNODOT  (sat->prop.sdp4->sdp4_XNODOT)
 | 
|---|
| 82 | #define XNODP   (sat->prop.sdp4->sdp4_XNODP)
 | 
|---|
| 83 | 
 | 
|---|
| 84 | #define XMDF_seco   (sat->prop.sdp4->sdp4_XMDF_seco)
 | 
|---|
| 85 | #define OMGADF_seco (sat->prop.sdp4->sdp4_OMGADF_seco)
 | 
|---|
| 86 | #define XNODE_seco  (sat->prop.sdp4->sdp4_XNODE_seco)
 | 
|---|
| 87 | #define EM_seco     (sat->prop.sdp4->sdp4_EM_seco)
 | 
|---|
| 88 | #define XINC_seco   (sat->prop.sdp4->sdp4_XINC_seco)
 | 
|---|
| 89 | #define XN_seco     (sat->prop.sdp4->sdp4_XN_seco)
 | 
|---|
| 90 | 
 | 
|---|
| 91 | #define E_pero      (sat->prop.sdp4->sdp4_E_pero)
 | 
|---|
| 92 | #define XINC_pero   (sat->prop.sdp4->sdp4_XINC_pero)
 | 
|---|
| 93 | #define OMGADF_pero (sat->prop.sdp4->sdp4_OMGADF_pero)
 | 
|---|
| 94 | #define XNODE_pero  (sat->prop.sdp4->sdp4_XNODE_pero)
 | 
|---|
| 95 | #define XMAM_pero   (sat->prop.sdp4->sdp4_XMAM_pero)
 | 
|---|
| 96 | 
 | 
|---|
| 97 | void
 | 
|---|
| 98 | sdp4 (SatData *sat, Vec3 *pos, Vec3 *dpos, double TSINCE)
 | 
|---|
| 99 | {
 | 
|---|
| 100 |     int i;
 | 
|---|
| 101 | 
 | 
|---|
| 102 |     /* private temporary variables used only in init section */
 | 
|---|
| 103 |     double A1,A3OVK2,AO,C2,COEF,COEF1,DEL1,DELO,EETA,ETA,
 | 
|---|
| 104 |         ETASQ,PERIGE,PINVSQ,PSISQ,QOMS24,S4,THETA4,TSI,X1M5TH,XHDOT1;
 | 
|---|
| 105 | 
 | 
|---|
| 106 |     /* private temporary variables */
 | 
|---|
| 107 |     double A,AXN,AYN,AYNL,BETA,BETAL,CAPU,COS2U,COSEPW=0,
 | 
|---|
| 108 |         COSIK,COSNOK,COSU,COSUK,E,ECOSE,ELSQ,EM=0,EPW,ESINE,OMGADF,PL,
 | 
|---|
| 109 |         R,RDOT,RDOTK,RFDOT,RFDOTK,RK,SIN2U,SINEPW=0,SINIK,SINNOK,
 | 
|---|
| 110 |         SINU,SINUK,TEMP,TEMP1,TEMP2,TEMP3=0,TEMP4=0,TEMP5=0,TEMP6=0,TEMPA,
 | 
|---|
| 111 |         TEMPE,TEMPL,TSQ,U,UK,UX,UY,UZ,VX,VY,VZ,XINC=0,XINCK,XL,XLL,XLT,
 | 
|---|
| 112 |         XMAM,XMDF,XMX,XMY,XN,XNODDF,XNODE,XNODEK;
 | 
|---|
| 113 | 
 | 
|---|
| 114 | #if 0
 | 
|---|
| 115 |     A1=A3OVK2=AO=C2=COEF=COEF1=DEL1=DELO=EETA=ETA = signaling_nan();
 | 
|---|
| 116 |     ETASQ=PERIGE=PINVSQ=PSISQ=QOMS24=S4=THETA4=TSI=X1M5TH=XHDOT1 = signaling_nan();
 | 
|---|
| 117 | 
 | 
|---|
| 118 |      A=AXN=AYN=AYNL=BETA=BETAL=CAPU=COS2U=COSEPW = signaling_nan();
 | 
|---|
| 119 |      COSIK=COSNOK=COSU=COSUK=E=ECOSE=ELSQ=EM=EPW=ESINE=OMGADF=PL = signaling_nan();
 | 
|---|
| 120 |      R=RDOT=RDOTK=RFDOT=RFDOTK=RK=SIN2U=SINEPW=SINIK=SINNOK = signaling_nan();
 | 
|---|
| 121 |      SINU=SINUK=TEMP=TEMP1=TEMP2=TEMP3=TEMP4=TEMP5=TEMP6=TEMPA = signaling_nan();
 | 
|---|
| 122 |      TEMPE=TEMPL=TSQ=U=UK=UX=UY=UZ=VX=VY=VZ=XINC=XINCK=XL=XLL=XLT = signaling_nan();
 | 
|---|
| 123 |      XMAM=XMDF=XMX=XMY=XN=XNODDF=XNODE=XNODEK = signaling_nan();
 | 
|---|
| 124 | #endif
 | 
|---|
| 125 | 
 | 
|---|
| 126 |     if(TSINCE != 0.0 && !sat->prop.sdp4) {
 | 
|---|
| 127 |         /*
 | 
|---|
| 128 |          * Yes, this is a recursive call.
 | 
|---|
| 129 |          */
 | 
|---|
| 130 |         sdp4(sat, pos, dpos, 0.0);
 | 
|---|
| 131 |     }
 | 
|---|
| 132 | 
 | 
|---|
| 133 | /*      IF  (IFLAG .EQ. 0) GO TO 100 */
 | 
|---|
| 134 | /*    if(!IFLAG) */
 | 
|---|
| 135 |     if(!sat->prop.sdp4) {
 | 
|---|
| 136 |         sat->prop.sdp4 = (struct sdp4_data *) malloc(sizeof(struct sdp4_data));
 | 
|---|
| 137 | 
 | 
|---|
| 138 | /*      init_sdp4(sat->prop.sdp4); */
 | 
|---|
| 139 | 
 | 
|---|
| 140 | /*      RECOVER ORIGINAL MEAN MOTION (XNODP) AND SEMIMAJOR AXIS (AODP) */
 | 
|---|
| 141 | /*      FROM INPUT ELEMENTS */
 | 
|---|
| 142 | 
 | 
|---|
| 143 |         A1=pow((XKE/XNO), TOTHRD);
 | 
|---|
| 144 |         COSIO=cos(XINCL);
 | 
|---|
| 145 |         THETA2=COSIO*COSIO;
 | 
|---|
| 146 |         X3THM1=3.0 * THETA2 - 1.0;
 | 
|---|
| 147 |         EOSQ = EO * EO;
 | 
|---|
| 148 |         BETAO2 = 1.0 - EOSQ;
 | 
|---|
| 149 |         BETAO = sqrt(BETAO2);
 | 
|---|
| 150 |         DEL1 = 1.5 * CK2 * X3THM1 / (A1 * A1 * BETAO * BETAO2);
 | 
|---|
| 151 |         AO = A1 * (1.0 - DEL1 * (0.5 * TOTHRD +
 | 
|---|
| 152 |                                 DEL1 * (1.0 + 134.0 / 81.0 * DEL1)));
 | 
|---|
| 153 |         DELO = 1.5 * CK2 * X3THM1 / (AO * AO * BETAO * BETAO2);
 | 
|---|
| 154 |         XNODP = XNO / (1.0 + DELO);
 | 
|---|
| 155 |         AODP = AO / (1.0 - DELO);
 | 
|---|
| 156 | 
 | 
|---|
| 157 | /*      INITIALIZATION */
 | 
|---|
| 158 | 
 | 
|---|
| 159 | /*      FOR PERIGEE BELOW 156 KM, THE VALUES OF
 | 
|---|
| 160 | *      S AND QOMS2T ARE ALTERED */
 | 
|---|
| 161 | 
 | 
|---|
| 162 |         S4 = S;
 | 
|---|
| 163 |         QOMS24 = QOMS2T;
 | 
|---|
| 164 |         PERIGE = (AODP * (1.0 - EO) - AE) * XKMPER;
 | 
|---|
| 165 | 
 | 
|---|
| 166 | /*      IF(PERIGE .GE. 156.) GO TO 10 */
 | 
|---|
| 167 | 
 | 
|---|
| 168 |         if(PERIGE < 156.0) {
 | 
|---|
| 169 |             S4 = PERIGE - 78.0;
 | 
|---|
| 170 | 
 | 
|---|
| 171 |             if(PERIGE <= 98.0)  { /* GO TO 9 */
 | 
|---|
| 172 |                 S4 = 20.0;
 | 
|---|
| 173 |             }
 | 
|---|
| 174 | 
 | 
|---|
| 175 |             QOMS24 = pow((120.0 - S4) * AE / XKMPER, 4.0); /* 9 */
 | 
|---|
| 176 |             S4 = S4 / XKMPER + AE;
 | 
|---|
| 177 |         }
 | 
|---|
| 178 |         PINVSQ = 1.0 / (AODP * AODP * BETAO2 * BETAO2); /* 10 */
 | 
|---|
| 179 |         SING = sin(OMEGAO);
 | 
|---|
| 180 |         COSG = cos(OMEGAO);
 | 
|---|
| 181 |         TSI = 1.0 / (AODP - S4);
 | 
|---|
| 182 |         ETA = AODP * EO * TSI;
 | 
|---|
| 183 |         ETASQ = ETA * ETA;
 | 
|---|
| 184 |         EETA = EO * ETA;
 | 
|---|
| 185 |         PSISQ = fabs(1.0 - ETASQ);
 | 
|---|
| 186 |         COEF = QOMS24 * pow(TSI, 4.0);
 | 
|---|
| 187 |         COEF1 = COEF / pow(PSISQ, 3.5);
 | 
|---|
| 188 |         C2 = COEF1 * XNODP * (AODP * (1.0 + 1.5 * ETASQ +
 | 
|---|
| 189 |                                       EETA * (4.0 + ETASQ)) +
 | 
|---|
| 190 |                               .75 * CK2 * TSI / PSISQ * X3THM1 *
 | 
|---|
| 191 |                               (8.0 + 3.0 * ETASQ * (8.0 + ETASQ)));
 | 
|---|
| 192 |         C1 = BSTAR * C2;
 | 
|---|
| 193 |         SINIO = sin(XINCL);
 | 
|---|
| 194 |         A3OVK2 = -XJ3 / CK2 * AE * AE * AE; /* A3OVK2=-XJ3/CK2*AE**3; */
 | 
|---|
| 195 |         X1MTH2 = 1.0 - THETA2;
 | 
|---|
| 196 |         C4 = 2.0 * XNODP * COEF1 * AODP * BETAO2 *
 | 
|---|
| 197 |             (ETA * (2.0 + .5 * ETASQ) + EO * (.5 + 2.0 * ETASQ) -
 | 
|---|
| 198 |              2.0 * CK2 * TSI / (AODP * PSISQ) *
 | 
|---|
| 199 |              (-3.0 * X3THM1 * (1.0 - 2.0 * EETA + ETASQ *
 | 
|---|
| 200 |                                (1.5 - .5 * EETA)) +
 | 
|---|
| 201 |               .75 * X1MTH2 * (2.0 * ETASQ - EETA *
 | 
|---|
| 202 |                               (1.0 + ETASQ)) * cos(2.0 * OMEGAO)));
 | 
|---|
| 203 |         THETA4 = THETA2 * THETA2;
 | 
|---|
| 204 |         TEMP1 = 3.0 * CK2 * PINVSQ * XNODP;
 | 
|---|
| 205 |         TEMP2 = TEMP1 * CK2 * PINVSQ;
 | 
|---|
| 206 |         TEMP3 = 1.25 * CK4 * PINVSQ * PINVSQ * XNODP;
 | 
|---|
| 207 |         XMDOT = XNODP + 0.5 * TEMP1 * BETAO * X3THM1 + .0625 * TEMP2 * BETAO *
 | 
|---|
| 208 |             (13.0 - 78.0 * THETA2 + 137.0 * THETA4);
 | 
|---|
| 209 |         X1M5TH=1.0 - 5.0 * THETA2;
 | 
|---|
| 210 |         OMGDOT = -.5 * TEMP1 * X1M5TH + .0625 * TEMP2 * 
 | 
|---|
| 211 |             (7.0 - 114.0 * THETA2 + 395.0 * THETA4) +
 | 
|---|
| 212 |             TEMP3 * (3.0 - 36.0 * THETA2 + 49.0 * THETA4);
 | 
|---|
| 213 |         XHDOT1 = -TEMP1 * COSIO;
 | 
|---|
| 214 |         XNODOT = XHDOT1 + (.5 * TEMP2 * (4.0 - 19.0 * THETA2) +
 | 
|---|
| 215 |                            2.0 * TEMP3 * (3.0 - 7.0 * THETA2)) * COSIO;
 | 
|---|
| 216 |         XNODCF = 3.5 * BETAO2 * XHDOT1 * C1;
 | 
|---|
| 217 |         T2COF = 1.5 * C1;
 | 
|---|
| 218 |         XLCOF = .125 * A3OVK2 * SINIO * (3.0 + 5.0 * COSIO) / (1.0 + COSIO);
 | 
|---|
| 219 |         AYCOF = .25 * A3OVK2 * SINIO;
 | 
|---|
| 220 |         X7THM1 = 7.0 * THETA2 - 1.0;
 | 
|---|
| 221 | /*   90 IFLAG=0 */
 | 
|---|
| 222 | 
 | 
|---|
| 223 | #ifdef SDP_DEEP_DEBUG
 | 
|---|
| 224 |         printf("calling dpinit\n");
 | 
|---|
| 225 |         printf("%f, %f, %f, %f, %f, %f, %f, %f, %f, %f, %f, %f, %f\n",
 | 
|---|
| 226 |                EOSQ,SINIO,COSIO,BETAO,AODP,THETA2,
 | 
|---|
| 227 |                SING,COSG,BETAO2,XMDOT,OMGDOT,XNODOT,XNODP);
 | 
|---|
| 228 | #endif
 | 
|---|
| 229 |         dpinit(sat, EOSQ, SINIO, COSIO, BETAO, AODP, THETA2,
 | 
|---|
| 230 |                SING, COSG, BETAO2, XMDOT, OMGDOT, XNODOT, XNODP);
 | 
|---|
| 231 | 
 | 
|---|
| 232 | /*      CALL DPINIT(EOSQ,SINIO,COSIO,BETAO,AODP,THETA2,
 | 
|---|
| 233 |         1         SING,COSG,BETAO2,XMDOT,OMGDOT,XNODOT,XNODP) */
 | 
|---|
| 234 | 
 | 
|---|
| 235 | /*      UPDATE FOR SECULAR GRAVITY AND ATMOSPHERIC DRAG */
 | 
|---|
| 236 |     }
 | 
|---|
| 237 | 
 | 
|---|
| 238 |     XMDF = XMO + XMDOT * TSINCE; /* 100 */
 | 
|---|
| 239 |     OMGADF = OMEGAO + OMGDOT * TSINCE;
 | 
|---|
| 240 |     XNODDF = XNODEO + XNODOT * TSINCE;
 | 
|---|
| 241 |     TSQ = TSINCE * TSINCE;
 | 
|---|
| 242 |     XNODE = XNODDF + XNODCF * TSQ;
 | 
|---|
| 243 |     TEMPA = 1.0 - C1 * TSINCE;
 | 
|---|
| 244 |     TEMPE = BSTAR * C4 * TSINCE;
 | 
|---|
| 245 |     TEMPL = T2COF * TSQ;
 | 
|---|
| 246 |     XN = XNODP;
 | 
|---|
| 247 | 
 | 
|---|
| 248 |     if(TSINCE == 0.0) {
 | 
|---|
| 249 |         XMDF_seco   = XMDF;
 | 
|---|
| 250 |         OMGADF_seco = OMGADF;
 | 
|---|
| 251 |         XNODE_seco  = XNODE;
 | 
|---|
| 252 |         EM_seco     = EM;
 | 
|---|
| 253 |         XINC_seco   = XINC;
 | 
|---|
| 254 |         XN_seco     = XN;
 | 
|---|
| 255 |     }
 | 
|---|
| 256 | 
 | 
|---|
| 257 |     dpsec(sat, &XMDF, &OMGADF, &XNODE, &EM, &XINC, &XN, TSINCE);
 | 
|---|
| 258 | 
 | 
|---|
| 259 |     if(TSINCE == 0.0) {
 | 
|---|
| 260 |         XMDF_seco   = XMDF - XMDF_seco;
 | 
|---|
| 261 |         OMGADF_seco = OMGADF - OMGADF_seco;
 | 
|---|
| 262 |         XNODE_seco  = XNODE - XNODE_seco;
 | 
|---|
| 263 |         EM_seco     = EM - EM_seco;
 | 
|---|
| 264 |         XINC_seco   = XINC - XINC_seco;
 | 
|---|
| 265 |         XN_seco     = XN - XN_seco;
 | 
|---|
| 266 | 
 | 
|---|
| 267 | #if 0
 | 
|---|
| 268 |         printf("XMDF_seco   = %e\n", XMDF_seco);
 | 
|---|
| 269 |         printf("OMGADF_seco = %e\n", OMGADF_seco);
 | 
|---|
| 270 |         printf("XNODE_seco  = %e\n", XNODE_seco);
 | 
|---|
| 271 |         printf("EM_seco     = %e\n", EM_seco);
 | 
|---|
| 272 |         printf("XINC_seco   = %e\n", XINC_seco);
 | 
|---|
| 273 |         printf("XN_seco     = %e\n", XN_seco);
 | 
|---|
| 274 | #endif
 | 
|---|
| 275 |     }
 | 
|---|
| 276 | 
 | 
|---|
| 277 |     /*
 | 
|---|
| 278 |     XMDF   -= XMDF_seco;
 | 
|---|
| 279 |     OMGADF -= OMGADF_seco;
 | 
|---|
| 280 |     XNODE  -= XNODE_seco;
 | 
|---|
| 281 |     EM     -= EM_seco;
 | 
|---|
| 282 |     XINC   -= XINC_seco;
 | 
|---|
| 283 |     XN     -= XN_seco;
 | 
|---|
| 284 |     */
 | 
|---|
| 285 | 
 | 
|---|
| 286 |     A = pow(XKE/XN, TOTHRD) * TEMPA * TEMPA;
 | 
|---|
| 287 |     E = EM - TEMPE;
 | 
|---|
| 288 | #ifdef SDP_DEEP_DEBUG
 | 
|---|
| 289 |     printf("*** E = %f\n", E);
 | 
|---|
| 290 | #endif
 | 
|---|
| 291 |     XMAM = XMDF + XNODP * TEMPL;
 | 
|---|
| 292 | /*      CALL DPPER(E,XINC,OMGADF,XNODE,XMAM) */
 | 
|---|
| 293 | 
 | 
|---|
| 294 | #ifdef SDP_DEEP_DEBUG
 | 
|---|
| 295 |     printf("%12s %12s %12s %12s %12s\n",
 | 
|---|
| 296 |            "E", "XINC", "OMGADF", "XNODE", "XMAM");
 | 
|---|
| 297 |     printf("%12f %12f %12f %12f %12f\n",
 | 
|---|
| 298 |            E, XINC, OMGADF, XNODE, XMAM);
 | 
|---|
| 299 | #endif
 | 
|---|
| 300 | 
 | 
|---|
| 301 |     if(TSINCE == 0.0) {
 | 
|---|
| 302 |         E_pero      = E;
 | 
|---|
| 303 |         XINC_pero   = XINC;
 | 
|---|
| 304 |         OMGADF_pero = OMGADF;
 | 
|---|
| 305 |         XNODE_pero  = XNODE;
 | 
|---|
| 306 |         XMAM_pero   = XMAM;
 | 
|---|
| 307 |     }
 | 
|---|
| 308 | 
 | 
|---|
| 309 |     dpper(sat, &E, &XINC, &OMGADF, &XNODE, &XMAM, TSINCE);
 | 
|---|
| 310 | 
 | 
|---|
| 311 |     if(TSINCE == 0.0) {
 | 
|---|
| 312 |         E_pero      = E - E_pero;
 | 
|---|
| 313 |         XINC_pero   = XINC - XINC_pero;
 | 
|---|
| 314 |         OMGADF_pero = OMGADF - OMGADF_pero;
 | 
|---|
| 315 |         XNODE_pero  = XNODE - XNODE_pero;
 | 
|---|
| 316 |         XMAM_pero   = XMAM - XMAM_pero;
 | 
|---|
| 317 | 
 | 
|---|
| 318 | #if 0
 | 
|---|
| 319 |         printf("E_pero      = %e\n", E_pero);
 | 
|---|
| 320 |         printf("XINC_pero   = %e\n", XINC_pero);
 | 
|---|
| 321 |         printf("OMGADF_pero = %e\n", OMGADF_pero);
 | 
|---|
| 322 |         printf("XNODE_pero  = %e\n", XNODE_pero);
 | 
|---|
| 323 |         printf("XMAM_pero   = %e\n\n", XMAM_pero);
 | 
|---|
| 324 | #endif
 | 
|---|
| 325 |     }
 | 
|---|
| 326 | 
 | 
|---|
| 327 |     /*
 | 
|---|
| 328 |     E      -= E_pero;
 | 
|---|
| 329 |     XINC   -= XINC_pero;
 | 
|---|
| 330 |     OMGADF -= OMGADF_pero;
 | 
|---|
| 331 |     XNODE  -= XNODE_pero;
 | 
|---|
| 332 |     XMAM   -= XMAM_pero;
 | 
|---|
| 333 |     */
 | 
|---|
| 334 |     XL = XMAM + OMGADF + XNODE;
 | 
|---|
| 335 |     BETA = sqrt(1.0 - E * E);
 | 
|---|
| 336 |     XN = XKE / pow(A, 1.5);
 | 
|---|
| 337 | 
 | 
|---|
| 338 | /*      LONG PERIOD PERIODICS */
 | 
|---|
| 339 | 
 | 
|---|
| 340 |     AXN = E * cos(OMGADF);
 | 
|---|
| 341 |     TEMP=1./(A*BETA*BETA);
 | 
|---|
| 342 |     XLL=TEMP*XLCOF*AXN;
 | 
|---|
| 343 |     AYNL=TEMP*AYCOF;
 | 
|---|
| 344 |     XLT=XL+XLL;
 | 
|---|
| 345 |     AYN=E*sin(OMGADF)+AYNL;
 | 
|---|
| 346 | 
 | 
|---|
| 347 | /*      SOLVE KEPLERS EQUATION */
 | 
|---|
| 348 | 
 | 
|---|
| 349 |     CAPU=fmod(XLT-XNODE, TWOPI);
 | 
|---|
| 350 |     TEMP2=CAPU;
 | 
|---|
| 351 | /*      DO 130 I=1,10*/
 | 
|---|
| 352 |     for(i = 1; i < 10; i++) {
 | 
|---|
| 353 |         SINEPW=sin(TEMP2);
 | 
|---|
| 354 |       COSEPW=cos(TEMP2);
 | 
|---|
| 355 |       TEMP3=AXN*SINEPW;
 | 
|---|
| 356 |       TEMP4=AYN*COSEPW;
 | 
|---|
| 357 |       TEMP5=AXN*COSEPW;
 | 
|---|
| 358 |       TEMP6=AYN*SINEPW;
 | 
|---|
| 359 |       EPW=(CAPU-TEMP4+TEMP3-TEMP2)/(1.-TEMP5-TEMP6)+TEMP2;
 | 
|---|
| 360 | /*      IF(ABS(EPW-TEMP2) .LE. E6A) GO TO 140 */
 | 
|---|
| 361 |       if(fabs(EPW-TEMP2) <= E6A)
 | 
|---|
| 362 |           break;
 | 
|---|
| 363 |       TEMP2=EPW; /* 130 */
 | 
|---|
| 364 |     }
 | 
|---|
| 365 | 
 | 
|---|
| 366 | /*      SHORT PERIOD PRELIMINARY QUANTITIES */
 | 
|---|
| 367 | 
 | 
|---|
| 368 |     ECOSE=TEMP5+TEMP6; /* 140  */
 | 
|---|
| 369 |     ESINE=TEMP3-TEMP4;
 | 
|---|
| 370 |     ELSQ=AXN*AXN+AYN*AYN;
 | 
|---|
| 371 |     TEMP=1.-ELSQ;
 | 
|---|
| 372 |     PL=A*TEMP;
 | 
|---|
| 373 |     R=A*(1.-ECOSE);
 | 
|---|
| 374 |     TEMP1=1./R;
 | 
|---|
| 375 |     RDOT=XKE*sqrt(A)*ESINE*TEMP1;
 | 
|---|
| 376 |     RFDOT=XKE*sqrt(PL)*TEMP1;
 | 
|---|
| 377 |     TEMP2=A*TEMP1;
 | 
|---|
| 378 |     BETAL=sqrt(TEMP);
 | 
|---|
| 379 |     TEMP3=1./(1.+BETAL);
 | 
|---|
| 380 |     COSU=TEMP2*(COSEPW-AXN+AYN*ESINE*TEMP3);
 | 
|---|
| 381 |     SINU=TEMP2*(SINEPW-AYN-AXN*ESINE*TEMP3);
 | 
|---|
| 382 |     U=actan(SINU,COSU);
 | 
|---|
| 383 |     SIN2U=2.*SINU*COSU;
 | 
|---|
| 384 |     COS2U=2.*COSU*COSU-1.0;
 | 
|---|
| 385 |     TEMP=1./PL;
 | 
|---|
| 386 |     TEMP1=CK2*TEMP;
 | 
|---|
| 387 |     TEMP2=TEMP1*TEMP;
 | 
|---|
| 388 | 
 | 
|---|
| 389 | /*      UPDATE FOR SHORT PERIODICS */
 | 
|---|
| 390 | 
 | 
|---|
| 391 |     RK=R*(1.-1.5*TEMP2*BETAL*X3THM1)+.5*TEMP1*X1MTH2*COS2U;
 | 
|---|
| 392 |     UK=U - .25 * TEMP2 * X7THM1 * SIN2U;
 | 
|---|
| 393 |     XNODEK=XNODE+1.5*TEMP2*COSIO*SIN2U;
 | 
|---|
| 394 |     XINCK=XINC+1.5*TEMP2*COSIO*SINIO*COS2U;
 | 
|---|
| 395 |     RDOTK=RDOT-XN*TEMP1*X1MTH2*SIN2U;
 | 
|---|
| 396 |     RFDOTK=RFDOT+XN*TEMP1*(X1MTH2*COS2U+1.5*X3THM1);
 | 
|---|
| 397 | 
 | 
|---|
| 398 | /*      ORIENTATION VECTORS */
 | 
|---|
| 399 |     SINUK=sin(UK);
 | 
|---|
| 400 |     COSUK=cos(UK);
 | 
|---|
| 401 |     SINIK=sin(XINCK);
 | 
|---|
| 402 |     COSIK=cos(XINCK);
 | 
|---|
| 403 |     SINNOK=sin(XNODEK);
 | 
|---|
| 404 |     COSNOK=cos(XNODEK);
 | 
|---|
| 405 |     XMX=-SINNOK*COSIK;
 | 
|---|
| 406 |     XMY=COSNOK*COSIK;
 | 
|---|
| 407 |     UX=XMX*SINUK+COSNOK*COSUK;
 | 
|---|
| 408 |     UY=XMY*SINUK+SINNOK*COSUK;
 | 
|---|
| 409 |     UZ=SINIK*SINUK;
 | 
|---|
| 410 |     VX=XMX*COSUK-COSNOK*SINUK;
 | 
|---|
| 411 |     VY=XMY*COSUK-SINNOK*SINUK;
 | 
|---|
| 412 |     VZ=SINIK*COSUK;
 | 
|---|
| 413 | #if 0
 | 
|---|
| 414 |     printf("UX = %f VX = %f RK = %f RDOTK = %f RFDOTK = %f\n",
 | 
|---|
| 415 |            UX, VX, RK, RDOTK, RFDOTK);
 | 
|---|
| 416 | #endif
 | 
|---|
| 417 | /*      POSITION AND VELOCITY */
 | 
|---|
| 418 | 
 | 
|---|
| 419 |     pos->x = RK*UX;
 | 
|---|
| 420 |     pos->y = RK*UY;
 | 
|---|
| 421 |     pos->z = RK*UZ;
 | 
|---|
| 422 |     dpos->x = RDOTK*UX+RFDOTK*VX;
 | 
|---|
| 423 |     dpos->y = RDOTK*UY+RFDOTK*VY;
 | 
|---|
| 424 |     dpos->z = RDOTK*UZ+RFDOTK*VZ;
 | 
|---|
| 425 | /*      RETURN
 | 
|---|
| 426 |       END */
 | 
|---|
| 427 | }
 | 
|---|
| 428 | 
 | 
|---|
| 429 | /* For RCS Only -- Do Not Edit */
 | 
|---|
| 430 | static char *rcsid[2] = {(char *)rcsid, "@(#) $RCSfile: sdp4.c,v $ $Date: 2005-08-21 10:02:39 $ $Revision: 1.5 $ $Name: not supported by cvs2svn $"};
 | 
|---|