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sdp8.cpp
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sdp8.cpp
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/* Copyright (C) 2018, Project Pluto. See LICENSE. */
#include <math.h>
#include "norad.h"
#include "norad_in.h"
#define tthmun params[0]
#define sini2 params[1]
#define cosi2 params[2]
#define unm5th params[3]
#define unmth2 params[4]
#define xmdt1 params[5]
#define xgdt1 params[6]
#define xhdt1 params[7]
#define xndt params[8]
#define edot params[9]
void sxpall_common_init( const tle_t *tle, deep_arg_t *deep_arg);
void sxp8_common_init( double *params, const tle_t *tle, deep_arg_t *deep_arg);
void DLL_FUNC SDP8_init( double *params, const tle_t *tle)
{
const double rho = .15696615;
const double b = tle->bstar*2./rho;
double
alpha2, b1, b2, b3, c0,
c1, c4, c5, cos2g, d1, d2, d3, d4,
d5, eeta, eta, eta2,
po, psim2, r1, tsi, xndtn;
deep_arg_t *deep_arg = ((deep_arg_t *)( params + 10));
sxpall_common_init( tle, deep_arg);
sxp8_common_init( params, tle, deep_arg);
deep_arg->sinio = sin( tle->xincl);
/* Initialization */
po = deep_arg->aodp*deep_arg->betao2;
tsi = 1./(po-s_const);
eta = tle->eo*s_const*tsi;
eta2 = eta * eta;
psim2 = (r1 = 1./(1.-eta2), fabs(r1));
alpha2 = deep_arg->eosq+1.;
eeta = tle->eo*eta;
cos2g = deep_arg->cosg * deep_arg->cosg * 2. - 1.;
d5 = tsi*psim2;
d1 = d5/po;
d2 = eta2*(eta2*4.5+36.)+12.;
d3 = eta2*(eta2*2.5+15.);
d4 = eta*(eta2*3.75+5.);
b1 = ck2*tthmun;
b2 = -ck2*unmth2;
b3 = a3ovk2*deep_arg->sinio;
r1 = tsi, r1 *= r1;
c0 = b*.5*rho*qoms2t*deep_arg->xnodp*deep_arg->aodp*
(r1*r1)*pow( psim2, 3.5)/sqrt(alpha2);
r1 = alpha2;
c1 = deep_arg->xnodp*1.5*(r1*r1)*c0;
c4 = d1*d3*b2;
c5 = d5*d4*b3;
xndt = c1*(eta2*(deep_arg->eosq*34.+3.)+2.+eeta*5.*(eta2+4.)+
deep_arg->eosq*8.5+d1*d2*b1+c4*cos2g+c5*deep_arg->sing);
xndtn = xndt/deep_arg->xnodp;
edot = -two_thirds*xndtn*(1.-tle->eo);
/* initialize Deep() */
Deep_dpinit( tle, deep_arg);
#ifdef RETAIN_PERTURBATION_VALUES_AT_EPOCH
/* initialize lunisolar perturbations: */
deep_arg->t = 0.; /* added 30 Dec 2003 */
deep_arg->solar_lunar_init_flag = 1;
Deep_dpper( tle, deep_arg);
deep_arg->solar_lunar_init_flag = 0;
#endif
} /* End of SDP8() initialization */
int DLL_FUNC SDP8( const double tsince, const tle_t *tle, const double *params,
double *pos, double *vel)
{
double
am, aovr, axnm, aynm, beta, beta2m,
cose, cosos, cs2f2g, csf, csfg, cslamb, di,
diwc, dr, ecosf, fm, g1, g10, g13, g14, g2,
g3, g4, g5, pm, r1, rdot, rm, rr, rvdot, sine,
sinos, sn2f2g, snf, snfg, sni2du, sinio2,
snlamb, temp, ux, uy, uz, vx, vy, vz, xlamb,
xmam, xmamdf, y4, y5, z1, z7, zc2, zc5;
int i;
deep_arg_t *deep_arg = ((deep_arg_t *)( params + 10));
/* Update for secular gravity and atmospheric drag */
z1 = xndt*.5*tsince*tsince;
z7 = two_thirds*3.5*z1/deep_arg->xnodp;
xmamdf = tle->xmo+deep_arg->xmdot*tsince;
deep_arg->omgadf = tle->omegao+deep_arg->omgdot*tsince+z7*xgdt1;
deep_arg->xnode = tle->xnodeo+deep_arg->xnodot*tsince+z7*xhdt1;
deep_arg->xn = deep_arg->xnodp;
/* Update for deep-space secular effects */
deep_arg->xll = xmamdf;
deep_arg->t = tsince;
Deep_dpsec( tle, deep_arg);
xmamdf = deep_arg->xll;
deep_arg->xn += xndt*tsince;
deep_arg->em += edot*tsince;
xmam = xmamdf+z1+z7*xmdt1;
/* Update for deep-space periodic effects */
deep_arg->xll = xmam;
Deep_dpper( tle, deep_arg);
xmam = deep_arg->xll;
xmam = FMod2p(xmam);
/* Solve Kepler's equation */
zc2 = xmam+deep_arg->em*sin(xmam)*(deep_arg->em*cos(xmam)+1.);
i = 0;
do
{
double cape;
sine = sin(zc2);
cose = cos(zc2);
zc5 = 1./(1.-deep_arg->em*cose);
cape = (xmam+deep_arg->em*sine-zc2)*zc5+zc2;
r1 = cape-zc2;
if (fabs(r1) <= e6a) break;
zc2 = cape;
}
while(i++ < 10);
/* Short period preliminary quantities */
am = pow( xke / deep_arg->xn, two_thirds);
beta2m = 1.f-deep_arg->em*deep_arg->em;
sinos = sin(deep_arg->omgadf);
cosos = cos(deep_arg->omgadf);
axnm = deep_arg->em*cosos;
aynm = deep_arg->em*sinos;
pm = am*beta2m;
g1 = 1./pm;
g2 = ck2*.5*g1;
g3 = g2*g1;
beta = sqrt(beta2m);
g4 = a3ovk2*.25*deep_arg->sinio;
g5 = a3ovk2*.25*g1;
snf = beta*sine*zc5;
csf = (cose-deep_arg->em)*zc5;
fm = atan2(snf, csf);
if( fm < 0.)
fm += pi + pi;
snfg = snf*cosos+csf*sinos;
csfg = csf*cosos-snf*sinos;
sn2f2g = snfg*2.*csfg;
r1 = csfg;
cs2f2g = r1*r1*2.-1.;
ecosf = deep_arg->em*csf;
g10 = fm-xmam+deep_arg->em*snf;
rm = pm/(ecosf+1.);
aovr = am/rm;
g13 = deep_arg->xn*aovr;
g14 = -g13*aovr;
dr = g2*(unmth2*cs2f2g-tthmun*3.)-g4*snfg;
diwc = g3*3.*deep_arg->sinio*cs2f2g-g5*aynm;
di = diwc*deep_arg->cosio;
sinio2 = sin(deep_arg->xinc*.5);
/* Update for short period periodics */
sni2du = sini2*(g3*((1.-deep_arg->cosio2*7.)*.5*sn2f2g-unm5th*
3.*g10)-g5*deep_arg->sinio*csfg*(ecosf+2.))-g5*.5*
deep_arg->cosio2*axnm/cosi2;
xlamb = fm+deep_arg->omgadf+deep_arg->xnode+g3*((deep_arg->cosio*6.+
1.-deep_arg->cosio2*7.)*.5*sn2f2g-(unm5th+deep_arg->cosio*2.)*
3.*g10)+g5*deep_arg->sinio*(deep_arg->cosio*axnm/
(deep_arg->cosio+1.)-(ecosf+2.)*csfg);
y4 = sinio2*snfg+csfg*sni2du+snfg*.5*cosi2*di;
y5 = sinio2*csfg-snfg*sni2du+csfg*.5*cosi2*di;
rr = rm+dr;
rdot = deep_arg->xn*am*deep_arg->em*snf/beta+g14*(g2*2.*unmth2*sn2f2g+g4*csfg);
r1 = am;
rvdot = deep_arg->xn*(r1*r1)*beta/rm+g14*dr+am*g13*deep_arg->sinio*diwc;
/* Orientation vectors */
snlamb = sin(xlamb);
cslamb = cos(xlamb);
temp = (y5*snlamb-y4*cslamb)*2.;
ux = y4*temp+cslamb;
vx = y5*temp-snlamb;
temp = (y5*cslamb+y4*snlamb)*2.;
uy = -y4*temp+snlamb;
vy = -y5*temp+cslamb;
temp = sqrt(1.-y4*y4-y5*y5)*2.;
uz = y4*temp;
vz = y5*temp;
/* Position and velocity */
pos[0] = rr*ux*earth_radius_in_km;
pos[1] = rr*uy*earth_radius_in_km;
pos[2] = rr*uz*earth_radius_in_km;
if( vel)
{
vel[0] = (rdot*ux+rvdot*vx)*earth_radius_in_km;
vel[1] = (rdot*uy+rvdot*vy)*earth_radius_in_km;
vel[2] = (rdot*uz+rvdot*vz)*earth_radius_in_km;
}
return( 0);
} /* SDP8 */