1 | #include <stdlib.h>
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2 | #include <math.h>
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3 | #undef SING
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4 |
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5 | #include "sattypes.h"
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6 | #include "vector.h"
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7 | #include "satspec.h"
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8 |
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9 | /* SDP4 3 NOV 80 */
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10 | /* SUBROUTINE SDP4(IFLAG,TSINCE)
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11 | COMMON/E1/XMO,XNODEO,OMEGAO,EO,XINCL,XNO,XNDT2O,
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12 | 1 XNDD6O,BSTAR,X,Y,Z,XDOT,YDOT,ZDOT,EPOCH,DS50
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13 | COMMON/C1/CK2,CK4,E6A,QOMS2T,S,TOTHRD,
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14 | 1 XJ3,XKE,XKMPER,XMNPDA,AE
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15 | DOUBLE PRECISION EPOCH, DS50
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16 | */
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17 |
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18 | #define XMO (sat->elem->se_XMO)
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19 | #define XNODEO (sat->elem->se_XNODEO)
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20 | #define OMEGAO (sat->elem->se_OMEGAO)
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21 | #define EO (sat->elem->se_EO)
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22 | #define XINCL (sat->elem->se_XINCL)
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23 | #define XNO (sat->elem->se_XNO)
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24 | #define XNDT20 (sat->elem->se_XNDT20)
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25 | #define XNDD60 (sat->elem->se_XNDD60)
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26 | #define BSTAR (sat->elem->se_BSTAR)
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27 | #define EPOCH (sat->elem->se_EPOCH)
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28 |
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29 | #define CK2 (5.413080e-04)
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30 | #define CK4 (6.209887e-07)
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31 | #define QOMS2T (1.880279e-09)
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32 | #define S (1.012229e+00)
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33 |
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34 | #define AE (1.0)
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35 | #define DE2RA (.174532925E-1)
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36 | #define E6A (1.E-6)
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37 | #define PI (3.14159265)
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38 | #define PIO2 (1.57079633)
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39 | #define QO (120.0)
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40 | #define SO (78.0)
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41 | #define TOTHRD (.66666667)
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42 | #define TWOPI (6.2831853)
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43 | #define X3PIO2 (4.71238898)
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44 | #define XJ2 (1.082616E-3)
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45 | #define XJ3 (-.253881E-5)
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46 | #define XJ4 (-1.65597E-6)
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47 | #define XKE (.743669161E-1)
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48 | #define XKMPER (6378.135)
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49 | #define XMNPDA (1440.)
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50 |
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51 | /* int IFLAG; */
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52 |
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53 | #define X (pos->sl_X)
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54 | #define XDOT (pos->sl_XDOT)
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55 | #define Y (pos->sl_Y)
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56 | #define YDOT (pos->sl_YDOT)
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57 | #define Z (pos->sl_Z)
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58 | #define ZDOT (pos->sl_ZDOT)
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59 |
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60 | /* sat->prop.sdp4-> */
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61 | #define AODP (sat->prop.sdp4->sdp4_AODP)
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62 | #define AYCOF (sat->prop.sdp4->sdp4_AYCOF)
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63 | #define BETAO (sat->prop.sdp4->sdp4_BETAO)
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64 | #define BETAO2 (sat->prop.sdp4->sdp4_BETAO2)
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65 | #define C1 (sat->prop.sdp4->sdp4_C1)
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66 | #define C4 (sat->prop.sdp4->sdp4_C4)
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67 | #define COSG (sat->prop.sdp4->sdp4_COSG)
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68 | #define COSIO (sat->prop.sdp4->sdp4_COSIO)
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69 | #define EOSQ (sat->prop.sdp4->sdp4_EOSQ)
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70 | #define OMGDOT (sat->prop.sdp4->sdp4_OMGDOT)
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71 | #define SING (sat->prop.sdp4->sdp4_SING)
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72 | #define SINIO (sat->prop.sdp4->sdp4_SINIO)
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73 | #define T2COF (sat->prop.sdp4->sdp4_T2COF)
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74 | #define THETA2 (sat->prop.sdp4->sdp4_THETA2)
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75 | #define X1MTH2 (sat->prop.sdp4->sdp4_X1MTH2)
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76 | #define X3THM1 (sat->prop.sdp4->sdp4_X3THM1)
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77 | #define X7THM1 (sat->prop.sdp4->sdp4_X7THM1)
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78 | #define XLCOF (sat->prop.sdp4->sdp4_XLCOF)
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79 | #define XMDOT (sat->prop.sdp4->sdp4_XMDOT)
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80 | #define XNODCF (sat->prop.sdp4->sdp4_XNODCF)
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81 | #define XNODOT (sat->prop.sdp4->sdp4_XNODOT)
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82 | #define XNODP (sat->prop.sdp4->sdp4_XNODP)
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83 |
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84 | #define XMDF_seco (sat->prop.sdp4->sdp4_XMDF_seco)
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85 | #define OMGADF_seco (sat->prop.sdp4->sdp4_OMGADF_seco)
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86 | #define XNODE_seco (sat->prop.sdp4->sdp4_XNODE_seco)
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87 | #define EM_seco (sat->prop.sdp4->sdp4_EM_seco)
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88 | #define XINC_seco (sat->prop.sdp4->sdp4_XINC_seco)
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89 | #define XN_seco (sat->prop.sdp4->sdp4_XN_seco)
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90 |
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91 | #define E_pero (sat->prop.sdp4->sdp4_E_pero)
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92 | #define XINC_pero (sat->prop.sdp4->sdp4_XINC_pero)
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93 | #define OMGADF_pero (sat->prop.sdp4->sdp4_OMGADF_pero)
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94 | #define XNODE_pero (sat->prop.sdp4->sdp4_XNODE_pero)
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95 | #define XMAM_pero (sat->prop.sdp4->sdp4_XMAM_pero)
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96 |
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97 | void
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98 | sdp4 (sat, pos, dpos, TSINCE)
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99 | SatData *sat;
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100 | Vec3 *pos;
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101 | Vec3 *dpos;
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102 | double TSINCE;
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103 | {
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104 | int i;
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105 |
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106 | /* private temporary variables used only in init section */
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107 | double A1,A3OVK2,AO,C2,COEF,COEF1,DEL1,DELO,EETA,ETA,
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108 | ETASQ,PERIGE,PINVSQ,PSISQ,QOMS24,S4,THETA4,TSI,X1M5TH,XHDOT1;
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109 |
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110 | /* private temporary variables */
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111 | double A,AXN,AYN,AYNL,BETA,BETAL,CAPU,COS2U,COSEPW,
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112 | COSIK,COSNOK,COSU,COSUK,E,ECOSE,ELSQ,EM=0,EPW,ESINE,OMGADF,PL,
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113 | R,RDOT,RDOTK,RFDOT,RFDOTK,RK,SIN2U,SINEPW,SINIK,SINNOK,
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114 | SINU,SINUK,TEMP,TEMP1,TEMP2,TEMP3,TEMP4,TEMP5,TEMP6,TEMPA,
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115 | TEMPE,TEMPL,TSQ,U,UK,UX,UY,UZ,VX,VY,VZ,XINC=0,XINCK,XL,XLL,XLT,
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116 | XMAM,XMDF,XMX,XMY,XN,XNODDF,XNODE,XNODEK;
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117 |
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118 | #if 0
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119 | A1=A3OVK2=AO=C2=COEF=COEF1=DEL1=DELO=EETA=ETA = signaling_nan();
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120 | ETASQ=PERIGE=PINVSQ=PSISQ=QOMS24=S4=THETA4=TSI=X1M5TH=XHDOT1 = signaling_nan();
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121 |
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122 | A=AXN=AYN=AYNL=BETA=BETAL=CAPU=COS2U=COSEPW = signaling_nan();
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123 | COSIK=COSNOK=COSU=COSUK=E=ECOSE=ELSQ=EM=EPW=ESINE=OMGADF=PL = signaling_nan();
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124 | R=RDOT=RDOTK=RFDOT=RFDOTK=RK=SIN2U=SINEPW=SINIK=SINNOK = signaling_nan();
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125 | SINU=SINUK=TEMP=TEMP1=TEMP2=TEMP3=TEMP4=TEMP5=TEMP6=TEMPA = signaling_nan();
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126 | TEMPE=TEMPL=TSQ=U=UK=UX=UY=UZ=VX=VY=VZ=XINC=XINCK=XL=XLL=XLT = signaling_nan();
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127 | XMAM=XMDF=XMX=XMY=XN=XNODDF=XNODE=XNODEK = signaling_nan();
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128 | #endif
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129 |
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130 | if(TSINCE != 0.0 && !sat->prop.sdp4) {
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131 | /*
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132 | * Yes, this is a recursive call.
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133 | */
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134 | sdp4(sat, pos, dpos, 0.0);
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135 | }
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136 |
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137 | /* IF (IFLAG .EQ. 0) GO TO 100 */
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138 | /* if(!IFLAG) */
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139 | if(!sat->prop.sdp4) {
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140 | sat->prop.sdp4 = (struct sdp4_data *) malloc(sizeof(struct sdp4_data));
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141 |
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142 | /* init_sdp4(sat->prop.sdp4); */
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143 |
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144 | /* RECOVER ORIGINAL MEAN MOTION (XNODP) AND SEMIMAJOR AXIS (AODP) */
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145 | /* FROM INPUT ELEMENTS */
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146 |
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147 | A1=pow((XKE/XNO), TOTHRD);
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148 | COSIO=cos(XINCL);
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149 | THETA2=COSIO*COSIO;
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150 | X3THM1=3.0 * THETA2 - 1.0;
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151 | EOSQ = EO * EO;
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152 | BETAO2 = 1.0 - EOSQ;
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153 | BETAO = sqrt(BETAO2);
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154 | DEL1 = 1.5 * CK2 * X3THM1 / (A1 * A1 * BETAO * BETAO2);
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155 | AO = A1 * (1.0 - DEL1 * (0.5 * TOTHRD +
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156 | DEL1 * (1.0 + 134.0 / 81.0 * DEL1)));
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157 | DELO = 1.5 * CK2 * X3THM1 / (AO * AO * BETAO * BETAO2);
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158 | XNODP = XNO / (1.0 + DELO);
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159 | AODP = AO / (1.0 - DELO);
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160 |
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161 | /* INITIALIZATION */
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162 |
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163 | /* FOR PERIGEE BELOW 156 KM, THE VALUES OF
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164 | * S AND QOMS2T ARE ALTERED */
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165 |
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166 | S4 = S;
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167 | QOMS24 = QOMS2T;
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168 | PERIGE = (AODP * (1.0 - EO) - AE) * XKMPER;
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169 |
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170 | /* IF(PERIGE .GE. 156.) GO TO 10 */
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171 |
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172 | if(PERIGE < 156.0) {
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173 | S4 = PERIGE - 78.0;
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174 |
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175 | if(PERIGE <= 98.0) { /* GO TO 9 */
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176 | S4 = 20.0;
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177 | }
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178 |
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179 | QOMS24 = pow((120.0 - S4) * AE / XKMPER, 4.0); /* 9 */
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180 | S4 = S4 / XKMPER + AE;
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181 | }
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182 | PINVSQ = 1.0 / (AODP * AODP * BETAO2 * BETAO2); /* 10 */
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183 | SING = sin(OMEGAO);
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184 | COSG = cos(OMEGAO);
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185 | TSI = 1.0 / (AODP - S4);
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186 | ETA = AODP * EO * TSI;
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187 | ETASQ = ETA * ETA;
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188 | EETA = EO * ETA;
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189 | PSISQ = fabs(1.0 - ETASQ);
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190 | COEF = QOMS24 * pow(TSI, 4.0);
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191 | COEF1 = COEF / pow(PSISQ, 3.5);
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192 | C2 = COEF1 * XNODP * (AODP * (1.0 + 1.5 * ETASQ +
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193 | EETA * (4.0 + ETASQ)) +
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194 | .75 * CK2 * TSI / PSISQ * X3THM1 *
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195 | (8.0 + 3.0 * ETASQ * (8.0 + ETASQ)));
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196 | C1 = BSTAR * C2;
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197 | SINIO = sin(XINCL);
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198 | A3OVK2 = -XJ3 / CK2 * AE * AE * AE; /* A3OVK2=-XJ3/CK2*AE**3; */
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199 | X1MTH2 = 1.0 - THETA2;
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200 | C4 = 2.0 * XNODP * COEF1 * AODP * BETAO2 *
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201 | (ETA * (2.0 + .5 * ETASQ) + EO * (.5 + 2.0 * ETASQ) -
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202 | 2.0 * CK2 * TSI / (AODP * PSISQ) *
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203 | (-3.0 * X3THM1 * (1.0 - 2.0 * EETA + ETASQ *
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204 | (1.5 - .5 * EETA)) +
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205 | .75 * X1MTH2 * (2.0 * ETASQ - EETA *
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206 | (1.0 + ETASQ)) * cos(2.0 * OMEGAO)));
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207 | THETA4 = THETA2 * THETA2;
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208 | TEMP1 = 3.0 * CK2 * PINVSQ * XNODP;
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209 | TEMP2 = TEMP1 * CK2 * PINVSQ;
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210 | TEMP3 = 1.25 * CK4 * PINVSQ * PINVSQ * XNODP;
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211 | XMDOT = XNODP + 0.5 * TEMP1 * BETAO * X3THM1 + .0625 * TEMP2 * BETAO *
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212 | (13.0 - 78.0 * THETA2 + 137.0 * THETA4);
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213 | X1M5TH=1.0 - 5.0 * THETA2;
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214 | OMGDOT = -.5 * TEMP1 * X1M5TH + .0625 * TEMP2 *
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215 | (7.0 - 114.0 * THETA2 + 395.0 * THETA4) +
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216 | TEMP3 * (3.0 - 36.0 * THETA2 + 49.0 * THETA4);
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217 | XHDOT1 = -TEMP1 * COSIO;
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218 | XNODOT = XHDOT1 + (.5 * TEMP2 * (4.0 - 19.0 * THETA2) +
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219 | 2.0 * TEMP3 * (3.0 - 7.0 * THETA2)) * COSIO;
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220 | XNODCF = 3.5 * BETAO2 * XHDOT1 * C1;
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221 | T2COF = 1.5 * C1;
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222 | XLCOF = .125 * A3OVK2 * SINIO * (3.0 + 5.0 * COSIO) / (1.0 + COSIO);
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223 | AYCOF = .25 * A3OVK2 * SINIO;
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224 | X7THM1 = 7.0 * THETA2 - 1.0;
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225 | /* 90 IFLAG=0 */
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226 |
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227 | #ifdef SDP_DEEP_DEBUG
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228 | printf("calling dpinit\n");
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229 | printf("%f, %f, %f, %f, %f, %f, %f, %f, %f, %f, %f, %f, %f\n",
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230 | EOSQ,SINIO,COSIO,BETAO,AODP,THETA2,
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231 | SING,COSG,BETAO2,XMDOT,OMGDOT,XNODOT,XNODP);
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232 | #endif
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233 | dpinit(sat, EOSQ, SINIO, COSIO, BETAO, AODP, THETA2,
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234 | SING, COSG, BETAO2, XMDOT, OMGDOT, XNODOT, XNODP);
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235 |
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236 | /* CALL DPINIT(EOSQ,SINIO,COSIO,BETAO,AODP,THETA2,
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237 | 1 SING,COSG,BETAO2,XMDOT,OMGDOT,XNODOT,XNODP) */
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238 |
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239 | /* UPDATE FOR SECULAR GRAVITY AND ATMOSPHERIC DRAG */
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240 | }
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241 |
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242 | XMDF = XMO + XMDOT * TSINCE; /* 100 */
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243 | OMGADF = OMEGAO + OMGDOT * TSINCE;
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244 | XNODDF = XNODEO + XNODOT * TSINCE;
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245 | TSQ = TSINCE * TSINCE;
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246 | XNODE = XNODDF + XNODCF * TSQ;
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247 | TEMPA = 1.0 - C1 * TSINCE;
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248 | TEMPE = BSTAR * C4 * TSINCE;
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249 | TEMPL = T2COF * TSQ;
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250 | XN = XNODP;
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251 |
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252 | if(TSINCE == 0.0) {
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253 | XMDF_seco = XMDF;
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254 | OMGADF_seco = OMGADF;
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255 | XNODE_seco = XNODE;
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256 | EM_seco = EM;
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257 | XINC_seco = XINC;
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258 | XN_seco = XN;
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259 | }
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260 |
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261 | dpsec(sat, &XMDF, &OMGADF, &XNODE, &EM, &XINC, &XN, TSINCE);
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262 |
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263 | if(TSINCE == 0.0) {
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264 | XMDF_seco = XMDF - XMDF_seco;
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265 | OMGADF_seco = OMGADF - OMGADF_seco;
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266 | XNODE_seco = XNODE - XNODE_seco;
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267 | EM_seco = EM - EM_seco;
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268 | XINC_seco = XINC - XINC_seco;
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269 | XN_seco = XN - XN_seco;
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270 |
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271 | #if 0
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272 | printf("XMDF_seco = %e\n", XMDF_seco);
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273 | printf("OMGADF_seco = %e\n", OMGADF_seco);
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274 | printf("XNODE_seco = %e\n", XNODE_seco);
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275 | printf("EM_seco = %e\n", EM_seco);
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276 | printf("XINC_seco = %e\n", XINC_seco);
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277 | printf("XN_seco = %e\n", XN_seco);
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278 | #endif
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279 | }
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280 |
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281 | /*
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282 | XMDF -= XMDF_seco;
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283 | OMGADF -= OMGADF_seco;
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284 | XNODE -= XNODE_seco;
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285 | EM -= EM_seco;
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286 | XINC -= XINC_seco;
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287 | XN -= XN_seco;
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288 | */
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289 |
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290 | A = pow(XKE/XN, TOTHRD) * TEMPA * TEMPA;
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291 | E = EM - TEMPE;
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292 | #ifdef SDP_DEEP_DEBUG
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293 | printf("*** E = %f\n", E);
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294 | #endif
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295 | XMAM = XMDF + XNODP * TEMPL;
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296 | /* CALL DPPER(E,XINC,OMGADF,XNODE,XMAM) */
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297 |
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298 | #ifdef SDP_DEEP_DEBUG
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299 | printf("%12s %12s %12s %12s %12s\n",
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300 | "E", "XINC", "OMGADF", "XNODE", "XMAM");
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301 | printf("%12f %12f %12f %12f %12f\n",
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302 | E, XINC, OMGADF, XNODE, XMAM);
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303 | #endif
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304 |
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305 | if(TSINCE == 0.0) {
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306 | E_pero = E;
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307 | XINC_pero = XINC;
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308 | OMGADF_pero = OMGADF;
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309 | XNODE_pero = XNODE;
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310 | XMAM_pero = XMAM;
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311 | }
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312 |
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313 | dpper(sat, &E, &XINC, &OMGADF, &XNODE, &XMAM, TSINCE);
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314 |
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315 | if(TSINCE == 0.0) {
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316 | E_pero = E - E_pero;
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317 | XINC_pero = XINC - XINC_pero;
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318 | OMGADF_pero = OMGADF - OMGADF_pero;
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319 | XNODE_pero = XNODE - XNODE_pero;
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320 | XMAM_pero = XMAM - XMAM_pero;
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321 |
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322 | #if 0
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323 | printf("E_pero = %e\n", E_pero);
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324 | printf("XINC_pero = %e\n", XINC_pero);
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325 | printf("OMGADF_pero = %e\n", OMGADF_pero);
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326 | printf("XNODE_pero = %e\n", XNODE_pero);
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327 | printf("XMAM_pero = %e\n\n", XMAM_pero);
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328 | #endif
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329 | }
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330 |
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331 | /*
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332 | E -= E_pero;
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333 | XINC -= XINC_pero;
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334 | OMGADF -= OMGADF_pero;
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335 | XNODE -= XNODE_pero;
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336 | XMAM -= XMAM_pero;
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337 | */
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338 | XL = XMAM + OMGADF + XNODE;
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339 | BETA = sqrt(1.0 - E * E);
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340 | XN = XKE / pow(A, 1.5);
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341 |
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342 | /* LONG PERIOD PERIODICS */
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343 |
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344 | AXN = E * cos(OMGADF);
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345 | TEMP=1./(A*BETA*BETA);
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346 | XLL=TEMP*XLCOF*AXN;
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347 | AYNL=TEMP*AYCOF;
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348 | XLT=XL+XLL;
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349 | AYN=E*sin(OMGADF)+AYNL;
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350 |
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351 | /* SOLVE KEPLERS EQUATION */
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352 |
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353 | CAPU=fmod(XLT-XNODE, TWOPI);
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354 | TEMP2=CAPU;
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355 | /* DO 130 I=1,10*/
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356 | for(i = 1; i < 10; i++) {
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357 | SINEPW=sin(TEMP2);
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358 | COSEPW=cos(TEMP2);
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359 | TEMP3=AXN*SINEPW;
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360 | TEMP4=AYN*COSEPW;
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361 | TEMP5=AXN*COSEPW;
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362 | TEMP6=AYN*SINEPW;
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363 | EPW=(CAPU-TEMP4+TEMP3-TEMP2)/(1.-TEMP5-TEMP6)+TEMP2;
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364 | /* IF(ABS(EPW-TEMP2) .LE. E6A) GO TO 140 */
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365 | if(fabs(EPW-TEMP2) <= E6A)
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366 | break;
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367 | TEMP2=EPW; /* 130 */
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368 | }
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369 |
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370 | /* SHORT PERIOD PRELIMINARY QUANTITIES */
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371 |
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372 | ECOSE=TEMP5+TEMP6; /* 140 */
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373 | ESINE=TEMP3-TEMP4;
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374 | ELSQ=AXN*AXN+AYN*AYN;
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375 | TEMP=1.-ELSQ;
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376 | PL=A*TEMP;
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377 | R=A*(1.-ECOSE);
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378 | TEMP1=1./R;
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379 | RDOT=XKE*sqrt(A)*ESINE*TEMP1;
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380 | RFDOT=XKE*sqrt(PL)*TEMP1;
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381 | TEMP2=A*TEMP1;
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382 | BETAL=sqrt(TEMP);
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383 | TEMP3=1./(1.+BETAL);
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384 | COSU=TEMP2*(COSEPW-AXN+AYN*ESINE*TEMP3);
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385 | SINU=TEMP2*(SINEPW-AYN-AXN*ESINE*TEMP3);
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386 | U=actan(SINU,COSU);
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387 | SIN2U=2.*SINU*COSU;
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388 | COS2U=2.*COSU*COSU-1.0;
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389 | TEMP=1./PL;
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390 | TEMP1=CK2*TEMP;
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391 | TEMP2=TEMP1*TEMP;
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392 |
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393 | /* UPDATE FOR SHORT PERIODICS */
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394 |
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395 | RK=R*(1.-1.5*TEMP2*BETAL*X3THM1)+.5*TEMP1*X1MTH2*COS2U;
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396 | UK=U - .25 * TEMP2 * X7THM1 * SIN2U;
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397 | XNODEK=XNODE+1.5*TEMP2*COSIO*SIN2U;
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398 | XINCK=XINC+1.5*TEMP2*COSIO*SINIO*COS2U;
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399 | RDOTK=RDOT-XN*TEMP1*X1MTH2*SIN2U;
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400 | RFDOTK=RFDOT+XN*TEMP1*(X1MTH2*COS2U+1.5*X3THM1);
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401 |
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402 | /* ORIENTATION VECTORS */
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403 | SINUK=sin(UK);
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404 | COSUK=cos(UK);
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405 | SINIK=sin(XINCK);
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406 | COSIK=cos(XINCK);
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407 | SINNOK=sin(XNODEK);
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408 | COSNOK=cos(XNODEK);
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409 | XMX=-SINNOK*COSIK;
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410 | XMY=COSNOK*COSIK;
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411 | UX=XMX*SINUK+COSNOK*COSUK;
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412 | UY=XMY*SINUK+SINNOK*COSUK;
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413 | UZ=SINIK*SINUK;
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414 | VX=XMX*COSUK-COSNOK*SINUK;
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415 | VY=XMY*COSUK-SINNOK*SINUK;
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416 | VZ=SINIK*COSUK;
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417 | #if 0
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418 | printf("UX = %f VX = %f RK = %f RDOTK = %f RFDOTK = %f\n",
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419 | UX, VX, RK, RDOTK, RFDOTK);
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420 | #endif
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421 | /* POSITION AND VELOCITY */
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422 |
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423 | pos->x = RK*UX;
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424 | pos->y = RK*UY;
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425 | pos->z = RK*UZ;
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426 | dpos->x = RDOTK*UX+RFDOTK*VX;
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427 | dpos->y = RDOTK*UY+RFDOTK*VY;
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428 | dpos->z = RDOTK*UZ+RFDOTK*VZ;
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429 | /* RETURN
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430 | END */
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431 | }
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432 |
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433 | /* For RCS Only -- Do Not Edit */
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434 | static char *rcsid[2] = {(char *)rcsid, "@(#) $RCSfile: sdp4.c,v $ $Date: 2001-10-22 12:08:28 $ $Revision: 1.2 $ $Name: not supported by cvs2svn $"};
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