KJ135
/
sgp4
mirror of http://172.16.0.12:5000/LAMPSARToolSoftware/sgp4.git
4
0
Fork 0
Code Issues Packages Projects Releases Wiki Activity

Start of DeepInitialize

feature/19
Daniel Warner 2011-03-26 21:07:51 +00:00
parent 896548d782
commit 3800afc71f
2 changed files with 353 additions and 314 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

666
SGDP4.cpp
View File

@ -201,6 +201,7 @@ void SGDP4::Initialize(const double& theta2, const double& betao2, const double&
gsto_ = Epoch().ToGMST();
double sing = sin(ArgumentPerigee());
double cosg = cos(ArgumentPerigee());
//DeepSpaceInitialize(eosq, sinio, cosio, betao);
//CALL DPINIT(EOSQ,SINIO,COSIO,BETAO,AODP,THETA2,
// SING,COSG,BETAO2,XMDOT,OMGDOT,XNODOT,XNODP)
}
@ -422,6 +423,305 @@ void SGDP4::FindPosition(double tsince) {
double zdot = (rdotk * uz + rfdotk * vz) * Globals::XKMPER() / 60.0;
}
/*
* entry dpinit(const double& eqsq, const double& siniq, const double& cosiq,
* const double& rteqsq, cosq2, sinomo, cosomo, bsq, xlldot, omgdt, xnodot, xnodp)
*/
/*
* deep space initialization
*/
void SGDP4::DeepSpaceInitialize() {
double aqnv = 1.0 / RecoveredSemiMajorAxis();
double xpidot = omgdt_ + xnodot_;
double sinq = sin(AscendingNode());
double cosq = cos(AscendingNode());
/*
* initialize lunar solar terms
*/
double day = Epoch().FromJan1_12h_1900();
double xnodce = 4.5236020 - 9.2422029e-4 * day;
double stem = dsin(xnodce);
double ctem = dcos(xnodce);
double zcosil = 0.91375164 - 0.03568096 * ctem;
double zsinil = sqrt(1.0 - zcosil * zcosil);
double zsinhl = 0.089683511 * stem / zsinil;
double zcoshl = sqrt(1.0 - zsinhl * zsinhl);
double c = 4.7199672 + 0.22997150 * day;
double gam = 5.8351514 + 0.0019443680 * day;
double zmol = fmod2p(c - gam);
double zx = 0.39785416 * stem / zsinil;
double zy = zcoshl * ctem + 0.91744867 * zsinhl * stem;
double zx = actan(zx, zy);
double zx = gam + zx - xnodce;
double zcosgl = cos(zx);
double zsingl = sin(zx);
double zmos = 6.2565837 + 0.017201977 * day;
double zmos = fmod2p(zmos);
/*
* do solar terms
*/
double savtsn = 1e20;
double zcosg = zcosgs;
double zsing = zsings;
double zcosi = zcosis;
double zsini = zsinis;
double zcosh = cosq;
double zsinh = sinq;
double cc = c1ss;
double zn = zns;
double ze = zes;
double zmo = zmos;
double xnoi = 1.0 / RecoveredMeanMotion();
for (int cnt = 0; cnt < 2; cnt++) {
/*
* solar terms are done a second time after lunar terms are done
*/
a1 = zcosg * zcosh + zsing * zcosi * zsinh;
a3 = -zsing * zcosh + zcosg * zcosi * zsinh;
a7 = -zcosg * zsinh + zsing * zcosi * zcosh;
a8 = zsing * zsini;
a9 = zsing * zsinh + zcosg * zcosi*zcosh;
a10 = zcosg * zsini;
a2 = cosiq * a7 + siniq * a8;
a4 = cosiq * a9 + siniq * a10;
a5 = -siniq * a7 + cosiq * a8;
a6 = -siniq * a9 + cosiq * a10;
x1 = a1 * cosomo + a2 * sinomo;
x2 = a3 * cosomo + a4 * sinomo;
x3 = -a1 * sinomo + a2 * cosomo;
x4 = -a3 * sinomo + a4 * cosomo;
x5 = a5 * sinomo;
x6 = a6 * sinomo;
x7 = a5 * cosomo;
x8 = a6 * cosomo;
z31 = 12.0 * x1 * x1 - 3. * x3 * x3;
z32 = 24.0 * x1 * x2 - 6. * x3 * x4;
z33 = 12.0 * x2 * x2 - 3. * x4 * x4;
z1 = 3.0 * (a1 * a1 + a2 * a2) + z31 * eqsq;
z2 = 6.0 * (a1 * a3 + a2 * a4) + z32 * eqsq;
z3 = 3.0 * (a3 * a3 + a4 * a4) + z33 * eqsq;
z11 = -6.0 * a1 * a5 + eqsq * (-24. * x1 * x7 - 6. * x3 * x5);
z12 = -6.0 * (a1 * a6 + a3 * a5) + eqsq * (-24. * (x2 * x7 + x1 * x8) - 6. * (x3 * x6 + x4 * x5));
z13 = -6.0 * a3 * a6 + eqsq * (-24. * x2 * x8 - 6. * x4 * x6);
z21 = 6.0 * a2 * a5 + eqsq * (24. * x1 * x5 - 6. * x3 * x7);
z22 = 6.0 * (a4 * a5 + a2 * a6) + eqsq * (24. * (x2 * x5 + x1 * x6) - 6. * (x4 * x7 + x3 * x8));
z23 = 6.0 * a4 * a6 + eqsq * (24. * x2 * x6 - 6. * x4 * x8);
z1 = z1 + z1 + bsq * z31;
z2 = z2 + z2 + bsq * z32;
z3 = z3 + z3 + bsq * z33;
s3 = cc * xnoi;
s2 = -0.5 * s3 / rteqsq;
s4 = s3 * rteqsq;
s1 = -15.0 * Eccentricity() * s4;
s5 = x1 * x3 + x2 * x4;
s6 = x2 * x3 + x1 * x4;
s7 = x2 * x4 - x1 * x3;
se = s1 * zn * s5;
si = s2 * zn * (z11 + z13);
sl = -zn * s3 * (z1 + z3 - 14.0 - 6.0 * eqsq);
sgh = s4 * zn * (z31 + z33 - 6.0);
/*
* replaced
* sh = -zn * s2 * (z21 + z23
* with
* shdq = (-zn * s2 * (z21 + z23)) / siniq
*/
if (Inclination() < 5.2359877e-2 || Inclination() > Globals::PI() - 5.2359877e-2) {
shdq = 0.0;
} else {
shdq = (-zn * s2 * (z21 + z23)) / siniq;
}
ee2 = 2.0 * s1 * s6;
e3 = 2.0 * s1 * s7;
xi2 = 2.0 * s2 * z12;
xi3 = 2.0 * s2 * (z13 - z11);
xl2 = -2.0 * s3 * z2;
xl3 = -2.0 * s3 * (z3 - z1);
xl4 = -2.0 * s3 * (-21.0 - 9.0 * eqsq) * ze;
xgh2 = 2.0 * s4 * z32;
xgh3 = 2.0 * s4 * (z33 - z31);
xgh4 = -18.0 * s4 * ze;
xh2 = -2.0 * s2 * z22;
xh3 = -2.0 * s2 * (z23 - z21);
if (cnt == 1)
break;
/*
* do lunar terms
*/
sse = se;
ssi = si;
ssl = sl;
ssh = shdq;
ssg = sgh - cosiq * ssh;
se2 = ee2;
si2 = xi2;
sl2 = xl2;
sgh2 = xgh2;
sh2 = xh2;
se3 = e3;
si3 = xi3;
sl3 = xl3;
sgh3 = xgh3;
sh3 = xh3;
sl4 = xl4;
sgh4 = xgh4;
zcosg = zcosgl;
zsing = zsingl;
zcosi = zcosil;
zsini = zsinil;
zcosh = zcoshl * cosq + zsinhl * sinq;
zsinh = sinq * zcoshl - cosq * zsinhl;
zn = znl;
cc = c1l;
ze = zel;
zmo = zmol;
}
sse += se;
ssi += si;
ssl += sl;
ssg += sgh - cosiq * shdq;
ssh += shdq;
/*
* geopotential resonance initialization for 12 hour orbits
*/
bool resonance_flag = false;
bool synchronous_flag = false;
bool initialize_integrator = true;
if (RecoveredMeanMotion() < 0.0052359877 && RecoveredMeanMotion() > 0.0034906585) {
if (RecoveredMeanMotion() < 8.26e-3 || RecoveredMeanMotion() > 9.24e-3 || Eccentricity() < 0.5) {
initialize_integrator = false;
} else {
/*
* geopotential resonance initialization for 12 hour orbits
*/
resonance_flag = true;
double eoc = Eccentricity() * eqsq;
g201 = -0.306 - (Eccentricity() - 0.64) * 0.440;
if (Eccentricity() <= 0.65) {
g211 = 3.616 - 13.247 * Eccentricity() + 16.290 * eqsq;
g310 = -19.302 + 117.390 * Eccentricity() - 228.419 * eqsq + 156.591 * eoc;
g322 = -18.9068 + 109.7927 * Eccentricity() - 214.6334 * eqsq + 146.5816 * eoc;
g410 = -41.122 + 242.694 * Eccentricity() - 471.094 * eqsq + 313.953 * eoc;
g422 = -146.407 + 841.880 * Eccentricity() - 1629.014 * eqsq + 1083.435 * eoc;
g520 = -532.114 + 3017.977 * Eccentricity() - 5740 * eqsq + 3708.276 * eoc;
} else {
g211 = -72.099 + 331.819 * Eccentricity() - 508.738 * eqsq + 266.724 * eoc;
g310 = -346.844 + 1582.851 * Eccentricity() - 2415.925 * eqsq + 1246.113 * eoc;
g322 = -342.585 + 1554.908 * Eccentricity() - 2366.899 * eqsq + 1215.972 * eoc;
g410 = -1052.797 + 4758.686 * Eccentricity() - 7193.992 * eqsq + 3651.957 * eoc;
g422 = -3581.69 + 16178.11 * Eccentricity() - 24462.77 * eqsq + 12422.52 * eoc;
if (Eccentricity() <= 0.715) {
g520 = 1464.74 - 4664.75 * Eccentricity() + 3763.64 * eqsq;
} else {
g520 = -5149.66 + 29936.92 * Eccentricity() - 54087.36 * eqsq + 31324.56 * eoc;
}
}
if (Eccentricity() < 0.7) {
g533 = -919.2277 + 4988.61 * Eccentricity() - 9064.77 * eqsq + 5542.21 * eoc;
g521 = -822.71072 + 4568.6173 * Eccentricity() - 8491.4146 * eqsq + 5337.524 * eoc;
g532 = -853.666 + 4690.25 * Eccentricity() - 8624.77 * eqsq + 5341.4 * eoc;
} else {
g533 = -37995.78 + 161616.52 * Eccentricity() - 229838.2 * eqsq + 109377.94 * eoc;
g521 = -51752.104 + 218913.95 * Eccentricity() - 309468.16 * eqsq + 146349.42 * eoc;
g532 = -40023.88 + 170470.89 * Eccentricity() - 242699.48 * eqsq + 115605.82 * eoc;
}
sini2 = siniq * siniq;
f220 = 0.75 * (1.0 + 2.0 * cosiq + cosq2);
f221 = 1.5 * sini2;
f321 = 1.875 * siniq * (1.0 - 2.0 * cosiq - 3.0 * cosq2);
f322 = -1.875 * siniq * (1.0 + 2.0 * cosiq - 3.0 * cosq2);
f441 = 35.0 * sini2 * f220;
f442 = 39.3750 * sini2 * sini2;
f522 = 9.84375 * siniq * (sini2 * (1.0 - 2.0 * cosiq - 5.0 * cosq2)
+ 0.33333333 * (-2.0 + 4.0 * cosiq + 6.0 * cosq2));
f523 = siniq * (4.92187512 * sini2 * (-2.0 - 4.0 * cosiq + 10.0 * cosq2)
+ 6.56250012 * (1.0 + 2.0 * cosiq - 3.0 * cosq2));
f542 = 29.53125 * siniq * (2.0 - 8.0 * cosiq + cosq2 *
(-12.0 + 8.0 * cosiq + 10.0 * cosq2));
f543 = 29.53125 * siniq * (-2.0 - 8.0 * cosiq + cosq2 *
(12.0 + 8.0 * cosiq - 10.0 * cosq2));
xno2 = RecoveredMeanMotion() * RecoveredMeanMotion();
ainv2 = aqnv * aqnv;
temp1 = 3.0 * xno2 * ainv2;
temp = temp1 * root22;
d2201 = temp * f220 * g201;
d2211 = temp * f221 * g211;
temp1 = temp1 * aqnv;
temp = temp1 * root32;
d3210 = temp * f321 * g310;
d3222 = temp * f322 * g322;
temp1 = temp1 * aqnv;
temp = 2.0 * temp1 * root44;
d4410 = temp * f441 * g410;
d4422 = temp * f442 * g422;
temp1 = temp1 * aqnv;
temp = temp1 * root52;
d5220 = temp * f522 * g520;
d5232 = temp * f523 * g532;
temp = 2.0 * temp1 * root54;
d5421 = temp * f542 * g521;
d5433 = temp * f543 * g533;
xlamo = MeanAnomoly() + AscendingNode() + AscendingNode() - gsto_ - gsto_;
bfact = xlldot + xnodot + xnodot - thdt - thdt;
bfact = bfact + ssl + ssh + ssh;
}
} else {
/*
* 24h synchronous resonance terms initialization
*/
resonance_flag = true;
synchronous_flag = true;
g200 = 1.0 + eqsq * (-2.5 + 0.8125 * eqsq);
g310 = 1.0 + 2.0 * eqsq;
g300 = 1.0 + eqsq * (-6.0 + 6.60937 * eqsq);
f220 = 0.75 * (1.0 + cosiq) * (1.0 + cosiq);
f311 = 0.9375 * siniq * siniq * (1.0 + 3.0 * cosiq) - 0.75 * (1.0 + cosiq);
f330 = 1.0 + cosiq;
f330 = 1.875 * f330 * f330 * f330;
del1 = 3.0 * RecoveredMeanMotion() * RecoveredMeanMotion() * aqnv * aqnv;
del2 = 2.0 * del1 * f220 * g200 * q22;
del3 = 3.0 * del1 * f330 * g300 * q33 * aqnv;
del1 = del1 * f311 * g310 * q31 * aqnv;
fasx2 = 0.13130908;
fasx4 = 2.8843198;
fasx6 = 0.37448087;
xlamo = MeanAnomoly() + AscendingNode() + ArgumentPerigee() - gsto_;
bfact = xlldot + xpidot - thdt;
bfact = bfact + ssl + ssg + ssh;
xfact = bfact - RecoveredMeanMotion();
}
if (initialize_integrator) {
/*
* initialize integrator
*/
xli = xlamo;
xni = RecoveredMeanMotion();
atime = 0.0;
stepp = 720.0;
stepn = -720.0;
step2 = 259200.0;
}
}
#if 0
SUBROUTINE DEEP
COMMON / E1 / XMO, XNODEO, OMEGAO, EO, XINCL, XNO, XNDT2O,
@ -462,268 +762,6 @@ double THDT = 4.3752691E-3;
/*
* ENTRANCE FOR DEEP SPACE INITIALIZATION
*/
ENTRY DPINIT(EQSQ, SINIQ, COSIQ, RTEQSQ, AO, COSQ2, SINOMO, COSOMO,
1 BSQ, XLLDOT, OMGDT, XNODOT, XNODP)
THGR = THETAG(EPOCH)
EQ = EO
XNQ = XNODP
AQNV = 1. / AO
XQNCL = XINCL
XMAO = XMO
XPIDOT = OMGDT + XNODOT
SINQ = SIN(XNODEO)
COSQ = COS(XNODEO)
OMEGAQ = OMEGAO
* INITIALIZE LUNAR SOLAR TERMS
5 DAY = DS50 + 18261.5D0
IF(DAY.EQ.PREEP) GO TO 10
PREEP = DAY
XNODCE = 4.5236020 - 9.2422029E-4 * DAY
59
STEM = DSIN(XNODCE)
CTEM = DCOS(XNODCE)
ZCOSIL = .91375164 - .03568096 * CTEM
ZSINIL = SQRT(1. - ZCOSIL*ZCOSIL)
ZSINHL = .089683511 * STEM / ZSINIL
ZCOSHL = SQRT(1. - ZSINHL*ZSINHL)
C = 4.7199672 + .22997150 * DAY
GAM = 5.8351514 + .0019443680 * DAY
ZMOL = FMOD2P(C - GAM)
ZX = .39785416 * STEM / ZSINIL
ZY = ZCOSHL*CTEM + 0.91744867 * ZSINHL*STEM
ZX = ACTAN(ZX, ZY)
ZX = GAM + ZX - XNODCE
ZCOSGL = COS(ZX)
ZSINGL = SIN(ZX)
ZMOS = 6.2565837D0 + .017201977D0*DAY
ZMOS = FMOD2P(ZMOS)
* DO SOLAR TERMS
10 LS = 0
SAVTSN = 1.D20
ZCOSG = ZCOSGS
ZSING = ZSINGS
ZCOSI = ZCOSIS
ZSINI = ZSINIS
ZCOSH = COSQ
ZSINH = SINQ
CC = C1SS
ZN = ZNS
ZE = ZES
ZMO = ZMOS
XNOI = 1. / XNQ
ASSIGN 30 TO LS
20 A1 = ZCOSG*ZCOSH + ZSING*ZCOSI*ZSINH
A3 = -ZSING*ZCOSH + ZCOSG*ZCOSI*ZSINH
A7 = -ZCOSG*ZSINH + ZSING*ZCOSI*ZCOSH
A8 = ZSING*ZSINI
A9 = ZSING*ZSINH + ZCOSG*ZCOSI*ZCOSH
A10 = ZCOSG*ZSINI
A2 = COSIQ*A7 + SINIQ*A8
A4 = COSIQ*A9 + SINIQ*A10
A5 = -SINIQ*A7 + COSIQ*A8
A6 = -SINIQ*A9 + COSIQ*A10
C
X1 = A1*COSOMO + A2*SINOMO
X2 = A3*COSOMO + A4*SINOMO
X3 = -A1*SINOMO + A2*COSOMO
60
X4 = -A3*SINOMO + A4*COSOMO
X5 = A5*SINOMO
X6 = A6*SINOMO
X7 = A5*COSOMO
X8 = A6*COSOMO
C
Z31 = 12. * X1*X1 - 3. * X3*X3
Z32 = 24. * X1*X2 - 6. * X3*X4
Z33 = 12. * X2*X2 - 3. * X4*X4
Z1 = 3. * (A1*A1 + A2*A2) + Z31*EQSQ
Z2 = 6. * (A1*A3 + A2*A4) + Z32*EQSQ
Z3 = 3. * (A3*A3 + A4*A4) + Z33*EQSQ
Z11 = -6. * A1*A5 + EQSQ *(-24. * X1*X7 - 6. * X3*X5)
Z12 = -6. * (A1*A6 + A3*A5) + EQSQ *(-24. * (X2*X7 + X1*X8) - 6. * (X3*X6 + X4*X5))
Z13 = -6. * A3*A6 + EQSQ *(-24. * X2*X8 - 6. * X4*X6)
Z21 = 6. * A2*A5 + EQSQ *(24. * X1*X5 - 6. * X3*X7)
Z22 = 6. * (A4*A5 + A2*A6) + EQSQ *(24. * (X2*X5 + X1*X6) - 6. * (X4*X7 + X3*X8))
Z23 = 6. * A4*A6 + EQSQ *(24. * X2*X6 - 6. * X4*X8)
Z1 = Z1 + Z1 + BSQ*Z31
Z2 = Z2 + Z2 + BSQ*Z32
Z3 = Z3 + Z3 + BSQ*Z33
S3 = CC*XNOI
S2 = -.5 * S3 / RTEQSQ
S4 = S3*RTEQSQ
S1 = -15. * EQ*S4
S5 = X1*X3 + X2*X4
S6 = X2*X3 + X1*X4
S7 = X2*X4 - X1*X3
SE = S1*ZN*S5
SI = S2*ZN*(Z11 + Z13)
SL = -ZN*S3*(Z1 + Z3 - 14. - 6. * EQSQ)
SGH = S4*ZN*(Z31 + Z33 - 6.)
SH = -ZN*S2*(Z21 + Z23)
IF(XQNCL.LT.5.2359877E-2) SH = 0.0
EE2 = 2. * S1*S6
E3 = 2. * S1*S7
XI2 = 2. * S2*Z12
XI3 = 2. * S2*(Z13 - Z11)
XL2 = -2. * S3*Z2
XL3 = -2. * S3*(Z3 - Z1)
XL4 = -2. * S3*(-21. - 9. * EQSQ) * ZE
XGH2 = 2. * S4*Z32
XGH3 = 2. * S4*(Z33 - Z31)
XGH4 = -18. * S4*ZE
XH2 = -2. * S2*Z22
XH3 = -2. * S2*(Z23 - Z21)
GO TO LS
61
* DO LUNAR TERMS
30 SSE = SE
SSI = SI
SSL = SL
SSH = SH / SINIQ
SSG = SGH - COSIQ*SSH
SE2 = EE2
SI2 = XI2
SL2 = XL2
SGH2 = XGH2
SH2 = XH2
SE3 = E3
SI3 = XI3
SL3 = XL3
SGH3 = XGH3
SH3 = XH3
SL4 = XL4
SGH4 = XGH4
LS = 1
ZCOSG = ZCOSGL
ZSING = ZSINGL
ZCOSI = ZCOSIL
ZSINI = ZSINIL
ZCOSH = ZCOSHL*COSQ + ZSINHL*SINQ
ZSINH = SINQ*ZCOSHL - COSQ*ZSINHL
ZN = ZNL
CC = C1L
ZE = ZEL
ZMO = ZMOL
ASSIGN 40 TO LS
GO TO 20
40 SSE = SSE + SE
SSI = SSI + SI
SSL = SSL + SL
SSG = SSG + SGH - COSIQ / SINIQ*SH
SSH = SSH + SH / SINIQ
* GEOPOTENTIAL RESONANCE INITIALIZATION FOR 12 HOUR ORBITS
IRESFL = 0
ISYNFL = 0
IF(XNQ.LT.(.0052359877).AND.XNQ.GT.(.0034906585)) GO TO 70
IF(XNQ.LT.(8.26E-3) .OR. XNQ.GT.(9.24E-3)) RETURN
IF(EQ.LT.0.5) RETURN
IRESFL = 1
EOC = EQ*EQSQ
G201 = -.306 - (EQ - .64)*.440
62
IF(EQ.GT.(.65)) GO TO 45
G211 = 3.616 - 13.247 * EQ + 16.290 * EQSQ
G310 = -19.302 + 117.390 * EQ - 228.419 * EQSQ + 156.591 * EOC
G322 = -18.9068 + 109.7927 * EQ - 214.6334 * EQSQ + 146.5816 * EOC
G410 = -41.122 + 242.694 * EQ - 471.094 * EQSQ + 313.953 * EOC
G422 = -146.407 + 841.880 * EQ - 1629.014 * EQSQ + 1083.435 * EOC
G520 = -532.114 + 3017.977 * EQ - 5740 * EQSQ + 3708.276 * EOC
GO TO 55
45 G211 = -72.099 + 331.819 * EQ - 508.738 * EQSQ + 266.724 * EOC
G310 = -346.844 + 1582.851 * EQ - 2415.925 * EQSQ + 1246.113 * EOC
G322 = -342.585 + 1554.908 * EQ - 2366.899 * EQSQ + 1215.972 * EOC
G410 = -1052.797 + 4758.686 * EQ - 7193.992 * EQSQ + 3651.957 * EOC
G422 = -3581.69 + 16178.11 * EQ - 24462.77 * EQSQ + 12422.52 * EOC
IF(EQ.GT.(.715)) GO TO 50
G520 = 1464.74 - 4664.75 * EQ + 3763.64 * EQSQ
GO TO 55
50 G520 = -5149.66 + 29936.92 * EQ - 54087.36 * EQSQ + 31324.56 * EOC
55 IF(EQ.GE.(.7)) GO TO 60
G533 = -919.2277 + 4988.61 * EQ - 9064.77 * EQSQ + 5542.21 * EOC
G521 = -822.71072 + 4568.6173 * EQ - 8491.4146 * EQSQ + 5337.524 * EOC
G532 = -853.666 + 4690.25 * EQ - 8624.77 * EQSQ + 5341.4 * EOC
GO TO 65
60 G533 = -37995.78 + 161616.52 * EQ - 229838.2 * EQSQ + 109377.94 * EOC
G521 = -51752.104 + 218913.95 * EQ - 309468.16 * EQSQ + 146349.42 * EOC
G532 = -40023.88 + 170470.89 * EQ - 242699.48 * EQSQ + 115605.82 * EOC
65 SINI2 = SINIQ*SINIQ
F220 = .75 * (1. + 2. * COSIQ + COSQ2)
F221 = 1.5 * SINI2
F321 = 1.875 * SINIQ*(1. - 2. * COSIQ - 3. * COSQ2)
F322 = -1.875 * SINIQ*(1. + 2. * COSIQ - 3. * COSQ2)
F441 = 35. * SINI2*F220
F442 = 39.3750 * SINI2*SINI2
F522 = 9.84375 * SINIQ*(SINI2*(1. - 2. * COSIQ - 5. * COSQ2)
1 + .33333333 * (-2. + 4. * COSIQ + 6. * COSQ2))
F523 = SINIQ*(4.92187512 * SINI2*(-2. - 4. * COSIQ + 10. * COSQ2)
* +6.56250012 * (1. + 2. * COSIQ - 3. * COSQ2))
F542 = 29.53125 * SINIQ*(2. - 8. * COSIQ + COSQ2*(-12. + 8. * COSIQ
* +10. * COSQ2))
F543 = 29.53125 * SINIQ*(-2. - 8. * COSIQ + COSQ2*(12. + 8. * COSIQ - 10. * COSQ2))
XNO2 = XNQ*XNQ
AINV2 = AQNV*AQNV
TEMP1 = 3. * XNO2*AINV2
TEMP = TEMP1*ROOT22
D2201 = TEMP*F220*G201
D2211 = TEMP*F221*G211
TEMP1 = TEMP1*AQNV
TEMP = TEMP1*ROOT32
D3210 = TEMP*F321*G310
63
D3222 = TEMP*F322*G322
TEMP1 = TEMP1*AQNV
TEMP = 2. * TEMP1*ROOT44
D4410 = TEMP*F441*G410
D4422 = TEMP*F442*G422
TEMP1 = TEMP1*AQNV
TEMP = TEMP1*ROOT52
D5220 = TEMP*F522*G520
D5232 = TEMP*F523*G532
TEMP = 2. * TEMP1*ROOT54
D5421 = TEMP*F542*G521
D5433 = TEMP*F543*G533
XLAMO = XMAO + XNODEO + XNODEO - THGR - THGR
BFACT = XLLDOT + XNODOT + XNODOT - THDT - THDT
BFACT = BFACT + SSL + SSH + SSH
GO TO 80
* SYNCHRONOUS RESONANCE TERMS INITIALIZATION
70 IRESFL = 1
ISYNFL = 1
G200 = 1.0 + EQSQ*(-2.5 + .8125 * EQSQ)
G310 = 1.0 + 2.0 * EQSQ
G300 = 1.0 + EQSQ*(-6.0 + 6.60937 * EQSQ)
F220 = .75 * (1. + COSIQ)*(1. + COSIQ)
F311 = .9375 * SINIQ*SINIQ*(1. + 3. * COSIQ) - .75 * (1. + COSIQ)
F330 = 1. + COSIQ
F330 = 1.875 * F330*F330*F330
DEL1 = 3. * XNQ*XNQ*AQNV*AQNV
DEL2 = 2. * DEL1*F220*G200*Q22
DEL3 = 3. * DEL1*F330*G300*Q33*AQNV
DEL1 = DEL1*F311*G310*Q31*AQNV
FASX2 = .13130908
FASX4 = 2.8843198
FASX6 = .37448087
XLAMO = XMAO + XNODEO + OMEGAO - THGR
BFACT = XLLDOT + XPIDOT - THDT
BFACT = BFACT + SSL + SSG + SSH
80 XFACT = BFACT - XNQ
C
C INITIALIZE INTEGRATOR
C
XLI = XLAMO
XNI = XNQ
ATIME = 0.D0
STEPP = 720.D0
STEPN = -720.D0
STEP2 = 259200.D0
64
RETURN
/*
@ -734,7 +772,7 @@ XLL = XLL + SSL*T
OMGASM = OMGASM + SSG*T
XNODES = XNODES + SSH*T
EM = EO + SSE*T
XINC = XINCL + SSI*T
XINC = XINCL + SSI * T
IF(XINC .GE. 0.) GO TO 90
XINC = -XINC
XNODES = XNODES + PI
@ -756,8 +794,8 @@ GO TO 160
130 FT = T - ATIME
ASSIGN 140 TO IRETN
GO TO 150
140 XN = XNI + XNDOT*FT + XNDDT*FT*FT * 0.5
XL = XLI + XLDOT*FT + XNDOT*FT*FT * 0.5
140 XN = XNI + XNDOT * FT + XNDDT * FT * FT * 0.5
XL = XLI + XLDOT * FT + XNDOT * FT * FT * 0.5
TEMP = -XNODES + THGR + T*THDT
XLL = XL - OMGASM + TEMP
IF(ISYNFL.EQ.0) XLL = XL + TEMP + TEMP
@ -766,46 +804,46 @@ C
C DOT TERMS CALCULATED
C
150 IF(ISYNFL.EQ.0) GO TO 152
XNDOT = DEL1*SIN(XLI - FASX2) + DEL2*SIN(2. * (XLI - FASX4))
1 + DEL3*SIN(3. * (XLI - FASX6))
XNDDT = DEL1*COS(XLI - FASX2)
* +2. * DEL2*COS(2. * (XLI - FASX4))
* +3. * DEL3*COS(3. * (XLI - FASX6))
XNDOT = DEL1 * SIN(XLI - FASX2) + DEL2 * SIN(2. * (XLI - FASX4))
1 + DEL3 * SIN(3. * (XLI - FASX6))
XNDDT = DEL1 * COS(XLI - FASX2)
* +2. * DEL2 * COS(2. * (XLI - FASX4))
* +3. * DEL3 * COS(3. * (XLI - FASX6))
GO TO 154
152 XOMI = OMEGAQ + OMGDT*ATIME
152 XOMI = OMEGAQ + OMGDT * ATIME
65
X2OMI = XOMI + XOMI
X2LI = XLI + XLI
XNDOT = D2201*SIN(X2OMI + XLI - G22)
* +D2211*SIN(XLI - G22)
* +D3210*SIN(XOMI + XLI - G32)
* +D3222*SIN(-XOMI + XLI - G32)
* +D4410*SIN(X2OMI + X2LI - G44)
* +D4422*SIN(X2LI - G44)
* +D5220*SIN(XOMI + XLI - G52)
* +D5232*SIN(-XOMI + XLI - G52)
* +D5421*SIN(XOMI + X2LI - G54)
* +D5433*SIN(-XOMI + X2LI - G54)
XNDDT = D2201*COS(X2OMI + XLI - G22)
* +D2211*COS(XLI - G22)
* +D3210*COS(XOMI + XLI - G32)
* +D3222*COS(-XOMI + XLI - G32)
* +D5220*COS(XOMI + XLI - G52)
* +D5232*COS(-XOMI + XLI - G52)
* +2. * (D4410*COS(X2OMI + X2LI - G44)
* +D4422*COS(X2LI - G44)
* +D5421*COS(XOMI + X2LI - G54)
* +D5433*COS(-XOMI + X2LI - G54))
XNDOT = D2201 * SIN(X2OMI + XLI - G22)
* +D2211 * SIN(XLI - G22)
* +D3210 * SIN(XOMI + XLI - G32)
* +D3222 * SIN(-XOMI + XLI - G32)
* +D4410 * SIN(X2OMI + X2LI - G44)
* +D4422 * SIN(X2LI - G44)
* +D5220 * SIN(XOMI + XLI - G52)
* +D5232 * SIN(-XOMI + XLI - G52)
* +D5421 * SIN(XOMI + X2LI - G54)
* +D5433 * SIN(-XOMI + X2LI - G54)
XNDDT = D2201 * COS(X2OMI + XLI - G22)
* +D2211 * COS(XLI - G22)
* +D3210 * COS(XOMI + XLI - G32)
* +D3222 * COS(-XOMI + XLI - G32)
* +D5220 * COS(XOMI + XLI - G52)
* +D5232 * COS(-XOMI + XLI - G52)
* +2. * (D4410 * COS(X2OMI + X2LI - G44)
* +D4422 * COS(X2LI - G44)
* +D5421 * COS(XOMI + X2LI - G54)
* +D5433 * COS(-XOMI + X2LI - G54))
154 XLDOT = XNI + XFACT
XNDDT = XNDDT*XLDOT
XNDDT = XNDDT * XLDOT
GO TO IRETN
C
C INTEGRATOR
C
160 ASSIGN 165 TO IRETN
GO TO 150
165 XLI = XLI + XLDOT*DELT + XNDOT*STEP2
XNI = XNI + XNDOT*DELT + XNDDT*STEP2
165 XLI = XLI + XLDOT * DELT + XNDOT*STEP2
XNI = XNI + XNDOT * DELT + XNDDT*STEP2
ATIME = ATIME + DELT
GO TO IRET
C
@ -831,26 +869,26 @@ SINIS = SIN(XINC)
COSIS = COS(XINC)
IF(DABS(SAVTSN - T).LT.(30.D0)) GO TO 210
SAVTSN = T
ZM = ZMOS + ZNS*T
205 ZF = ZM + 2. * ZES*SIN(ZM)
ZM = ZMOS + ZNS * T
205 ZF = ZM + 2. * ZES * SIN(ZM)
SINZF = SIN(ZF)
F2 = .5 * SINZF*SINZF - .25
F3 = -.5 * SINZF*COS(ZF)
SES = SE2*F2 + SE3*F3
SIS = SI2*F2 + SI3*F3
SLS = SL2*F2 + SL3*F3 + SL4*SINZF
SGHS = SGH2*F2 + SGH3*F3 + SGH4*SINZF
SHS = SH2*F2 + SH3*F3
F2 = .5 * SINZF * SINZF - .25
F3 = -.5 * SINZF * COS(ZF)
SES = SE2 * F2 + SE3*F3
SIS = SI2 * F2 + SI3*F3
SLS = SL2 * F2 + SL3 * F3 + SL4*SINZF
SGHS = SGH2 * F2 + SGH3 * F3 + SGH4*SINZF
SHS = SH2 * F2 + SH3*F3
ZM = ZMOL + ZNL*T
ZF = ZM + 2. * ZEL*SIN(ZM)
ZF = ZM + 2. * ZEL * SIN(ZM)
SINZF = SIN(ZF)
F2 = .5 * SINZF*SINZF - .25
F3 = -.5 * SINZF*COS(ZF)
SEL = EE2*F2 + E3*F3
SIL = XI2*F2 + XI3*F3
SLL = XL2*F2 + XL3*F3 + XL4*SINZF
SGHL = XGH2*F2 + XGH3*F3 + XGH4*SINZF
SHL = XH2*F2 + XH3*F3
F2 = .5 * SINZF * SINZF - .25
F3 = -.5 * SINZF * COS(ZF)
SEL = EE2 * F2 + E3*F3
SIL = XI2 * F2 + XI3*F3
SLL = XL2 * F2 + XL3 * F3 + XL4*SINZF
SGHL = XGH2 * F2 + XGH3 * F3 + XGH4*SINZF
SHL = XH2 * F2 + XH3*F3
PE = SES + SEL
PINC = SIS + SIL
PL = SLS + SLL
@ -877,12 +915,12 @@ C
COSOK = COS(XNODES)
ALFDP = SINIS*SINOK
BETDP = SINIS*COSOK
DALF = PH*COSOK + PINC*COSIS*SINOK
DBET = -PH*SINOK + PINC*COSIS*COSOK
DALF = PH * COSOK + PINC * COSIS*SINOK
DBET = -PH * SINOK + PINC * COSIS*COSOK
ALFDP = ALFDP + DALF
BETDP = BETDP + DBET
XLS = XLL + OMGASM + COSIS*XNODES
DLS = PL + PGH - PINC*XNODES*SINIS
DLS = PL + PGH - PINC * XNODES*SINIS
XLS = XLS + DLS
XNODES = ACTAN(ALFDP, BETDP)
XLL = XLL + PL

1
SGDP4.h
View File

@ -25,6 +25,7 @@ public:
private:
void Initialize(const double& theta2, const double& betao2, const double& betao);
void DeepSpaceInitialize();
bool first_run_;