/*----------------------------------------------------------------------------- * * procedure sgp4init * * this procedure initializes variables for sgp4. * * author : david vallado 719-573-2600 28 jun 2005 * author : david vallado 719-573-2600 28 jun 2005 * * inputs : * opsmode - mode of operation afspc or improved 'a', 'i' * satn - satellite number * bstar - sgp4 type drag coefficient kg/m2er * ecco - eccentricity * epoch - epoch time in days from jan 0, 1950. 0 hr * argpo - argument of perigee (output if ds) * inclo - inclination * mo - mean anomaly (output if ds) * no - mean motion * nodeo - right ascension of ascending node * * outputs : * rec - common values for subsequent calls * return code - non-zero on error. * 1 - mean elements, ecc >= 1.0 or ecc < -0.001 or a < 0.95 er * 2 - mean motion less than 0.0 * 3 - pert elements, ecc < 0.0 or ecc > 1.0 * 4 - semi-latus rectum < 0.0 * 5 - epoch elements are sub-orbital * 6 - satellite has decayed * * locals : * cnodm , snodm , cosim , sinim , cosomm , sinomm * cc1sq , cc2 , cc3 * coef , coef1 * cosio4 - * day - * dndt - * em - eccentricity * emsq - eccentricity squared * eeta - * etasq - * gam - * argpm - argument of perigee * nodem - * inclm - inclination * mm - mean anomaly * nm - mean motion * perige - perigee * pinvsq - * psisq - * qzms24 - * rtemsq - * s1, s2, s3, s4, s5, s6, s7 - * sfour - * ss1, ss2, ss3, ss4, ss5, ss6, ss7 - * sz1, sz2, sz3 * sz11, sz12, sz13, sz21, sz22, sz23, sz31, sz32, sz33 - * tc - * temp - * temp1, temp2, temp3 - * tsi - * xpidot - * xhdot1 - * z1, z2, z3 - * z11, z12, z13, z21, z22, z23, z31, z32, z33 - * * coupling : * getgravconst- * initl - * dscom - * dpper - * dsinit - * sgp4 - * * references : * hoots, roehrich, norad spacetrack report #3 1980 * hoots, norad spacetrack report #6 1986 * hoots, schumacher and glover 2004 * vallado, crawford, hujsak, kelso 2006 * ----------------------------------------------------------------------------*/ public void sgp4init(Satrec satrec, Sgp4initOptions options) { Globals globals = new Globals(); double pi = globals.pi; double earthRadius = globals.earthRadius; double j2 = globals.j2; double j4 = globals.j4; double j3oj2 = globals.j3oj2; double x2o3 = globals.x2o3; char opsmode = options.opsmode; string satn = options.satn; double epoch = options.epoch; double xbstar = options.xbstar; double xecco = options.xecco; double xargpo = options.xargpo; double xinclo = options.xinclo; double xmo = options.xmo; double xno = options.xno; double xnodeo = options.xnodeo; double cosim; double sinim; double cc1sq; double cc2; double cc3; double coef; double coef1; double cosio4; double em; double emsq; double eeta; double etasq; double argpm; double nodem; double inclm; double mm; double nm; double perige; double pinvsq; double psisq; double qzms24; double s1; double s2; double s3; double s4; double s5; double sfour; double ss1; double ss2; double ss3; double ss4; double ss5; double sz1; double sz3; double sz11; double sz13; double sz21; double sz23; double sz31; double sz33; double tc; double temp; double temp1; double temp2; double temp3; double tsi; double xpidot; double xhdot1; double z1; double z3; double z11; double z13; double z21; double z23; double z31; double z33; /* ------------------------ initialization --------------------- */ // sgp4fix divisor for divide by zero check on inclination // the old check used 1.0 + Math.cos(pi-1.0e-9), but then compared it to // 1.5 e-12, so the threshold was changed to 1.5e-12 for consistency double temp4 = 1.5e-12; // ----------- set all near earth variables to zero ------------ satrec.isimp = 0; satrec.method = 'n'; satrec.aycof = 0.0; satrec.con41 = 0.0; satrec.cc1 = 0.0; satrec.cc4 = 0.0; satrec.cc5 = 0.0; satrec.d2 = 0.0; satrec.d3 = 0.0; satrec.d4 = 0.0; satrec.delmo = 0.0; satrec.eta = 0.0; satrec.argpdot = 0.0; satrec.omgcof = 0.0; satrec.sinmao = 0.0; satrec.t = 0.0; satrec.t2cof = 0.0; satrec.t3cof = 0.0; satrec.t4cof = 0.0; satrec.t5cof = 0.0; satrec.x1mth2 = 0.0; satrec.x7thm1 = 0.0; satrec.mdot = 0.0; satrec.nodedot = 0.0; satrec.xlcof = 0.0; satrec.xmcof = 0.0; satrec.nodecf = 0.0; // ----------- set all deep space variables to zero ------------ satrec.irez = 0; satrec.d2201 = 0.0; satrec.d2211 = 0.0; satrec.d3210 = 0.0; satrec.d3222 = 0.0; satrec.d4410 = 0.0; satrec.d4422 = 0.0; satrec.d5220 = 0.0; satrec.d5232 = 0.0; satrec.d5421 = 0.0; satrec.d5433 = 0.0; satrec.dedt = 0.0; satrec.del1 = 0.0; satrec.del2 = 0.0; satrec.del3 = 0.0; satrec.didt = 0.0; satrec.dmdt = 0.0; satrec.dnodt = 0.0; satrec.domdt = 0.0; satrec.e3 = 0.0; satrec.ee2 = 0.0; satrec.peo = 0.0; satrec.pgho = 0.0; satrec.pho = 0.0; satrec.pinco = 0.0; satrec.plo = 0.0; satrec.se2 = 0.0; satrec.se3 = 0.0; satrec.sgh2 = 0.0; satrec.sgh3 = 0.0; satrec.sgh4 = 0.0; satrec.sh2 = 0.0; satrec.sh3 = 0.0; satrec.si2 = 0.0; satrec.si3 = 0.0; satrec.sl2 = 0.0; satrec.sl3 = 0.0; satrec.sl4 = 0.0; satrec.gsto = 0.0; satrec.xfact = 0.0; satrec.xgh2 = 0.0; satrec.xgh3 = 0.0; satrec.xgh4 = 0.0; satrec.xh2 = 0.0; satrec.xh3 = 0.0; satrec.xi2 = 0.0; satrec.xi3 = 0.0; satrec.xl2 = 0.0; satrec.xl3 = 0.0; satrec.xl4 = 0.0; satrec.xlamo = 0.0; satrec.zmol = 0.0; satrec.zmos = 0.0; satrec.atime = 0.0; satrec.xli = 0.0; satrec.xni = 0.0; // sgp4fix - note the following variables are also passed directly via satrec. // it is possible to streamline the sgp4init call by deleting the "x" // variables, but the user would need to set the satrec.* values first. we // include the additional assignments in case twoline2rv is not used. satrec.bstar = xbstar; satrec.ecco = xecco; satrec.argpo = xargpo; satrec.inclo = xinclo; satrec.mo = xmo; satrec.no = xno; satrec.nodeo = xnodeo; // sgp4fix add opsmode satrec.operationmode = opsmode; // ------------------------ earth constants ----------------------- // sgp4fix identify constants and allow alternate values double ss = (78.0 / earthRadius) + 1.0; // sgp4fix use multiply for speed instead of pow double qzms2ttemp = (120.0 - 78.0) / earthRadius; double qzms2t = qzms2ttemp * qzms2ttemp * qzms2ttemp * qzms2ttemp; satrec.init = 'y'; satrec.t = 0.0; InitlOptions initlOptions = new InitlOptions(); initlOptions.satn = satn; initlOptions.ecco = satrec.ecco; initlOptions.epoch = epoch; initlOptions.inlco = satrec.inclo; initlOptions.no = satrec.no; initlOptions.method = satrec.method; initlOptions.opsmode = satrec.operationmode; Initl initl = new Initl(); InitlResult initlResult = new InitlResult(); initlResult = initl.initl(initlOptions); //TODO: Finish impl double ao = initlResult.ao; double con42 = initlResult.con42; double cosio = initlResult.cosio; double cosio2 = initlResult.cosio2; double eccsq = initlResult.eccsq; double omeosq = initlResult.omeosq; double posq = initlResult.posq; double rp = initlResult.rp; double rteosq = initlResult.rteosq; double sinio = initlResult.sinio; satrec.no = initlResult.no; satrec.con41 = initlResult.con41; satrec.gsto = initlResult.gsto; satrec.error = 0; // sgp4fix remove this check as it is unnecessary // the mrt check in sgp4 handles decaying satellite cases even if the starting // condition is below the surface of te earth // if (rp < 1.0) // { // printf("// *** satn%d epoch elts sub-orbital ***\n", satn); // satrec.error = 5; // } if (omeosq >= 0.0 || satrec.no >= 0.0) { satrec.isimp = 0; if (rp < (220.0 / earthRadius + 1.0)) { satrec.isimp = 1; } sfour = ss; qzms24 = qzms2t; perige = (rp - 1.0) * earthRadius; // - for perigees below 156 km, s and qoms2t are altered - if (perige < 156.0) { sfour = perige - 78.0; if (perige < 98.0) { sfour = 20.0; } // sgp4fix use multiply for speed instead of pow double qzms24temp = (120.0 - sfour) / earthRadius; qzms24 = qzms24temp * qzms24temp * qzms24temp * qzms24temp; sfour = (sfour / earthRadius) + 1.0; } pinvsq = 1.0 / posq; tsi = 1.0 / (ao - sfour); satrec.eta = ao * satrec.ecco * tsi; etasq = satrec.eta * satrec.eta; eeta = satrec.ecco * satrec.eta; psisq = Math.Abs(1.0 - etasq); coef = qzms24 * Math.Pow(tsi, 4.0); coef1 = coef / (Math.Pow(psisq, 3.5)); cc2 = coef1 * satrec.no * ((ao * (1.0 + (1.5 * etasq) + (eeta * (4.0 + etasq)))) + (((0.375 * j2 * tsi) / psisq) * satrec.con41 * (8.0 + (3.0 * etasq * (8.0 + etasq))))); satrec.cc1 = satrec.bstar * cc2; cc3 = 0.0; if (satrec.ecco > 1.0e-4) { cc3 = (-2.0 * coef * tsi * j3oj2 * satrec.no * sinio) / satrec.ecco; } satrec.x1mth2 = 1.0 - cosio2; satrec.cc4 = 2.0 * satrec.no * coef1 * ao * omeosq * ( ((satrec.eta * (2.0 + (0.5 * etasq))) + (satrec.ecco * (0.5 + (2.0 * etasq)))) - (((j2 * tsi) / (ao * psisq)) * ((-3.0 * satrec.con41 * ((1.0 - (2.0 * eeta)) + (etasq * (1.5 - (0.5 * eeta))))) + (0.75 * satrec.x1mth2 * ((2.0 * etasq) - (eeta * (1.0 + etasq))) * Math.Cos(2.0 * satrec.argpo)))) ); satrec.cc5 = 2.0 * coef1 * ao * omeosq * (1.0 + (2.75 * (etasq + eeta)) + (eeta * etasq)); cosio4 = cosio2 * cosio2; temp1 = 1.5 * j2 * pinvsq * satrec.no; temp2 = 0.5 * temp1 * j2 * pinvsq; temp3 = -0.46875 * j4 * pinvsq * pinvsq * satrec.no; satrec.mdot = satrec.no + (0.5 * temp1 * rteosq * satrec.con41) + (0.0625 * temp2 * rteosq * ((13.0 - (78.0 * cosio2)) + (137.0 * cosio4))); satrec.argpdot = (-0.5 * temp1 * con42) + (0.0625 * temp2 * ((7.0 - (114.0 * cosio2)) + (395.0 * cosio4))) + (temp3 * ((3.0 - (36.0 * cosio2)) + (49.0 * cosio4))); xhdot1 = -temp1 * cosio; satrec.nodedot = xhdot1 + (((0.5 * temp2 * (4.0 - (19.0 * cosio2))) + (2.0 * temp3 * (3.0 - (7.0 * cosio2)))) * cosio); xpidot = satrec.argpdot + satrec.nodedot; satrec.omgcof = satrec.bstar * cc3 * Math.Cos(satrec.argpo); satrec.xmcof = 0.0; if (satrec.ecco > 1.0e-4) { satrec.xmcof = (-x2o3 * coef * satrec.bstar) / eeta; } satrec.nodecf = 3.5 * omeosq * xhdot1 * satrec.cc1; satrec.t2cof = 1.5 * satrec.cc1; // sgp4fix for divide by zero with xinco = 180 deg if (Math.Abs(cosio + 1.0) > 1.5e-12) { satrec.xlcof = (-0.25 * j3oj2 * sinio * (3.0 + (5.0 * cosio))) / (1.0 + cosio); } else { satrec.xlcof = (-0.25 * j3oj2 * sinio * (3.0 + (5.0 * cosio))) / temp4; } satrec.aycof = -0.5 * j3oj2 * sinio; // sgp4fix use multiply for speed instead of pow double delmotemp = 1.0 + (satrec.eta * Math.Cos(satrec.mo)); satrec.delmo = delmotemp * delmotemp * delmotemp; satrec.sinmao = Math.Sin(satrec.mo); satrec.x7thm1 = (7.0 * cosio2) - 1.0; // --------------- deep space initialization ------------- if ((2 * pi) / satrec.no >= 225.0) { satrec.method = 'd'; satrec.isimp = 1; tc = 0.0; inclm = satrec.inclo; DscomOptions dscomOptions = new DscomOptions(); dscomOptions.epoch = epoch; dscomOptions.ep = satrec.ecco; dscomOptions.argpp = satrec.argpo; dscomOptions.tc = tc; dscomOptions.inclp = satrec.inclo; dscomOptions.nodep = satrec.nodeo; dscomOptions.np = satrec.no; dscomOptions.e3 = satrec.e3; dscomOptions.ee2 = satrec.ee2; dscomOptions.peo = satrec.peo; dscomOptions.pgho = satrec.pgho; dscomOptions.pho = satrec.pho; dscomOptions.pinco = satrec.pinco; dscomOptions.plo = satrec.plo; dscomOptions.se2 = satrec.se2; dscomOptions.se3 = satrec.se3; dscomOptions.sgh2 = satrec.sgh2; dscomOptions.sgh3 = satrec.sgh3; dscomOptions.sgh4 = satrec.sgh4; dscomOptions.sh2 = satrec.sh2; dscomOptions.sh3 = satrec.sh3; dscomOptions.si2 = satrec.si2; dscomOptions.si3 = satrec.si3; dscomOptions.sl2 = satrec.sl2; dscomOptions.sl3 = satrec.sl3; dscomOptions.sl4 = satrec.sl4; dscomOptions.xgh2 = satrec.xgh2; dscomOptions.xgh3 = satrec.xgh3; dscomOptions.xgh4 = satrec.xgh4; dscomOptions.xh2 = satrec.xh2; dscomOptions.xh3 = satrec.xh3; dscomOptions.xi2 = satrec.xi2; dscomOptions.xi3 = satrec.xi3; dscomOptions.xl2 = satrec.xl2; dscomOptions.xl3 = satrec.xl3; dscomOptions.xl4 = satrec.xl4; dscomOptions.zmol = satrec.zmol; dscomOptions.zmos = satrec.zmos; Dscom dscom = new Dscom(); DscomResult dscomResult = new DscomResult(); dscomResult = dscom.dscom(dscomOptions); satrec.e3 = dscomResult.e3; satrec.ee2 = dscomResult.ee2; satrec.peo = dscomResult.peo; satrec.pgho = dscomResult.pgho; satrec.pho = dscomResult.pho; satrec.pinco = dscomResult.pinco; satrec.plo = dscomResult.plo; satrec.se2 = dscomResult.se2; satrec.se3 = dscomResult.se3; satrec.sgh2 = dscomResult.sgh2; satrec.sgh3 = dscomResult.sgh3; satrec.sgh4 = dscomResult.sgh4; satrec.sh2 = dscomResult.sh2; satrec.sh3 = dscomResult.sh3; satrec.si2 = dscomResult.si2; satrec.si3 = dscomResult.si3; satrec.sl2 = dscomResult.sl2; satrec.sl3 = dscomResult.sl3; satrec.sl4 = dscomResult.sl4; sinim = dscomResult.sinim; cosim = dscomResult.cosim; em = dscomResult.em; emsq = dscomResult.emsq; s1 = dscomResult.s1; s2 = dscomResult.s2; s3 = dscomResult.s3; s4 = dscomResult.s4; s5 = dscomResult.s5; ss1 = dscomResult.ss1; ss2 = dscomResult.ss2; ss3 = dscomResult.ss3; ss4 = dscomResult.ss4; ss5 = dscomResult.ss5; sz1 = dscomResult.sz1; sz3 = dscomResult.sz3; sz11 = dscomResult.sz11; sz13 = dscomResult.sz13; sz21 = dscomResult.sz21; sz23 = dscomResult.sz23; sz31 = dscomResult.sz31; sz33 = dscomResult.sz33; satrec.xgh2 = dscomResult.xgh2; satrec.xgh3 = dscomResult.xgh3; satrec.xgh4 = dscomResult.xgh4; satrec.xh2 = dscomResult.xh2; satrec.xh3 = dscomResult.xh3; satrec.xi2 = dscomResult.xi2; satrec.xi3 = dscomResult.xi3; satrec.xl2 = dscomResult.xl2; satrec.xl3 = dscomResult.xl3; satrec.xl4 = dscomResult.xl4; satrec.zmol = dscomResult.zmol; satrec.zmos = dscomResult.zmos; nm = dscomResult.nm; z1 = dscomResult.z1; z3 = dscomResult.z3; z11 = dscomResult.z11; z13 = dscomResult.z13; z21 = dscomResult.z21; z23 = dscomResult.z23; z31 = dscomResult.z31; z33 = dscomResult.z33; DpperOptions dpperOptions = new DpperOptions(); dpperOptions.inclo = inclm; dpperOptions.init = satrec.init; dpperOptions.ep = satrec.ecco; dpperOptions.inclp = satrec.inclo; dpperOptions.nodep = satrec.nodeo; dpperOptions.argpp = satrec.argpo; dpperOptions.mp = satrec.mo; dpperOptions.opsmode = satrec.operationmode; Dpper dpper = new Dpper(); DpperResult dpperResult = new DpperResult(); dpperResult = dpper.dpper(satrec, dpperOptions); satrec.ecco = dpperResult.ep; satrec.inclo = dpperResult.inclp; satrec.nodeo = dpperResult.nodep; satrec.argpo = dpperResult.argpp; satrec.mo = dpperResult.mp; argpm = 0.0; nodem = 0.0; mm = 0.0; DsinitOptions dsinitOptions = new DsinitOptions(); dsinitOptions.cosim = cosim; dsinitOptions.emsq = emsq; dsinitOptions.argpo = satrec.argpo; dsinitOptions.s1 = s1; dsinitOptions.s2 = s2; dsinitOptions.s3 = s3; dsinitOptions.s4 = s4; dsinitOptions.s5 = s5; dsinitOptions.sinim = sinim; dsinitOptions.ss1 = ss1; dsinitOptions.ss2 = ss2; dsinitOptions.ss3 = ss3; dsinitOptions.ss4 = ss4; dsinitOptions.ss5 = ss5; dsinitOptions.sz1 = sz1; dsinitOptions.sz3 = sz3; dsinitOptions.sz11 = sz11; dsinitOptions.sz13 = sz13; dsinitOptions.sz21 = sz21; dsinitOptions.sz23 = sz23; dsinitOptions.sz31 = sz31; dsinitOptions.sz33 = sz33; dsinitOptions.t = satrec.t; dsinitOptions.tc = tc; dsinitOptions.gsto = satrec.gsto; dsinitOptions.mo = satrec.mo; dsinitOptions.mdot = satrec.mdot; dsinitOptions.no = satrec.no; dsinitOptions.nodeo = satrec.nodeo; dsinitOptions.nodedot = satrec.nodedot; dsinitOptions.xpidot = xpidot; dsinitOptions.z1 = z1; dsinitOptions.z3 = z3; dsinitOptions.z11 = z11; dsinitOptions.z13 = z13; dsinitOptions.z21 = z21; dsinitOptions.z23 = z23; dsinitOptions.z31 = z31; dsinitOptions.z33 = z33; dsinitOptions.ecco = satrec.ecco; dsinitOptions.eccsq = eccsq; dsinitOptions.em = em; dsinitOptions.argpm = argpm; dsinitOptions.inclm = inclm; dsinitOptions.mm = mm; dsinitOptions.nm = nm; dsinitOptions.nodem = nodem; dsinitOptions.irez = satrec.irez; dsinitOptions.atime = satrec.atime; dsinitOptions.d2201 = satrec.d2201; dsinitOptions.d2211 = satrec.d2211; dsinitOptions.d3210 = satrec.d3210; dsinitOptions.d3222 = satrec.d3222; dsinitOptions.d4410 = satrec.d4410; dsinitOptions.d4422 = satrec.d4422; dsinitOptions.d5220 = satrec.d5220; dsinitOptions.d5232 = satrec.d5232; dsinitOptions.d5421 = satrec.d5421; dsinitOptions.d5433 = satrec.d5433; dsinitOptions.dedt = satrec.dedt; dsinitOptions.didt = satrec.didt; dsinitOptions.dmdt = satrec.dmdt; dsinitOptions.dnodt = satrec.dnodt; dsinitOptions.domdt = satrec.domdt; dsinitOptions.del1 = satrec.del1; dsinitOptions.del2 = satrec.del2; dsinitOptions.del3 = satrec.del3; dsinitOptions.xfact = satrec.xfact; dsinitOptions.xlamo = satrec.xlamo; dsinitOptions.xli = satrec.xli; dsinitOptions.xni = satrec.xni; Dsinit dsinit = new Dsinit(); DsinitResult dsinitResult = new DsinitResult(); dsinitResult = dsinit.dsinit(dsinitOptions); satrec.irez = dsinitResult.irez; satrec.atime = dsinitResult.atime; satrec.d2201 = dsinitResult.d2201; satrec.d2211 = dsinitResult.d2211; satrec.d3210 = dsinitResult.d3210; satrec.d3222 = dsinitResult.d3222; satrec.d4410 = dsinitResult.d4410; satrec.d4422 = dsinitResult.d4422; satrec.d5220 = dsinitResult.d5220; satrec.d5232 = dsinitResult.d5232; satrec.d5421 = dsinitResult.d5421; satrec.d5433 = dsinitResult.d5433; satrec.dedt = dsinitResult.dedt; satrec.didt = dsinitResult.didt; satrec.dmdt = dsinitResult.dmdt; satrec.dnodt = dsinitResult.dnodt; satrec.domdt = dsinitResult.domdt; satrec.del1 = dsinitResult.del1; satrec.del2 = dsinitResult.del2; satrec.del3 = dsinitResult.del3; satrec.xfact = dsinitResult.xfact; satrec.xlamo = dsinitResult.xlamo; satrec.xli = dsinitResult.xli; satrec.xni = dsinitResult.xni; } // ----------- set variables if not deep space ----------- if (satrec.isimp != 1) { cc1sq = satrec.cc1 * satrec.cc1; satrec.d2 = 4.0 * ao * tsi * cc1sq; temp = (satrec.d2 * tsi * satrec.cc1) / 3.0; satrec.d3 = ((17.0 * ao) + sfour) * temp; satrec.d4 = 0.5 * temp * ao * tsi * ((221.0 * ao) + (31.0 * sfour)) * satrec.cc1; satrec.t3cof = satrec.d2 + (2.0 * cc1sq); satrec.t4cof = 0.25 * ((3.0 * satrec.d3) + (satrec.cc1 * ((12.0 * satrec.d2) + (10.0 * cc1sq)))); satrec.t5cof = 0.2 * ( (3.0 * satrec.d4) + (12.0 * satrec.cc1 * satrec.d3) + (6.0 * satrec.d2 * satrec.d2) + (15.0 * cc1sq * ((2.0 * satrec.d2) + cc1sq)) ); } /* finally propogate to zero epoch to initialize all others. */ // sgp4fix take out check to let satellites process until they are actually below earth surface // if(satrec.error == 0) } Sgp4 sgp4 = new Sgp4(); sgp4.sgp4(satrec, 0); satrec.init = 'n'; /* eslint-enable no-param-reassign */ }
/*----------------------------------------------------------------------------- * * procedure initl * * this procedure initializes the sgp4 propagator. all the initialization is * consolidated here instead of having multiple loops inside other routines. * * author : david vallado 719-573-2600 28 jun 2005 * * inputs : * ecco - eccentricity 0.0 - 1.0 * epoch - epoch time in days from jan 0, 1950. 0 hr * inclo - inclination of satellite * no - mean motion of satellite * satn - satellite number * * outputs : * ainv - 1.0 / a * ao - semi major axis * con41 - * con42 - 1.0 - 5.0 cos(i) * cosio - cosine of inclination * cosio2 - cosio squared * eccsq - eccentricity squared * method - flag for deep space 'd', 'n' * omeosq - 1.0 - ecco * ecco * posq - semi-parameter squared * rp - radius of perigee * rteosq - square root of (1.0 - ecco*ecco) * sinio - sine of inclination * gsto - gst at time of observation rad * no - mean motion of satellite * * locals : * ak - * d1 - * del - * adel - * po - * * coupling : * getgravconst * gstime - find greenwich sidereal time from the julian date * * references : * hoots, roehrich, norad spacetrack report #3 1980 * hoots, norad spacetrack report #6 1986 * hoots, schumacher and glover 2004 * vallado, crawford, hujsak, kelso 2006 * ----------------------------------------------------------------------------*/ public InitlResult initl(InitlOptions initlOptions) { Globals globals = new Globals(); double twoPi = globals.twoPi; double xke = globals.xke; double j2 = globals.j2; double x2o3 = globals.x2o3; double ecco = initlOptions.ecco; double epoch = initlOptions.epoch; double inclo = initlOptions.inlco; double opsmode = initlOptions.opsmode; // let { // no, // } = options; double no = initlOptions.no; // sgp4fix use old way of finding gst // ----------------------- earth constants --------------------- // sgp4fix identify constants and allow alternate values // ------------- calculate auxillary epoch quantities ---------- double eccsq = ecco * ecco; double omeosq = 1.0 - eccsq; double rteosq = Math.Sqrt(omeosq); double cosio = Math.Cos(inclo); double cosio2 = cosio * cosio; // ------------------ un-kozai the mean motion ----------------- // double ak = ((xke / no) ** x2o3); double ak = Math.Pow((xke / no), x2o3); double d1 = (0.75 * j2 * ((3.0 * cosio2) - 1.0)) / (rteosq * omeosq); double delPrime = d1 / (ak * ak); double adel = ak * (1.0 - (delPrime * delPrime) - (delPrime * ((1.0 / 3.0) + ((134.0 * delPrime * delPrime) / 81.0)))); delPrime = d1 / (adel * adel); no /= (1.0 + delPrime); // double ao = ((xke / no) ** x2o3); double ao = Math.Pow((xke / no), x2o3); double sinio = Math.Sin(inclo); double po = ao * omeosq; double con42 = 1.0 - (5.0 * cosio2); double con41 = -con42 - cosio2 - cosio2; double ainv = 1.0 / ao; double posq = po * po; double rp = ao * (1.0 - ecco); double method = 'n'; // sgp4fix modern approach to finding sidereal time double gsto; if (opsmode == 'a') { // sgp4fix use old way of finding gst // count integer number of days from 0 jan 1970 double ts70 = epoch - 7305.0; double ds70 = Math.Floor(ts70 + 1.0e-8); double tfrac = ts70 - ds70; // find greenwich location at epoch double c1 = 1.72027916940703639e-2; double thgr70 = 1.7321343856509374; double fk5r = 5.07551419432269442e-15; double c1p2p = c1 + twoPi; gsto = (thgr70 + (c1 * ds70) + (c1p2p * tfrac) + (ts70 * ts70 * fk5r)) % twoPi; if (gsto < 0.0) { gsto += twoPi; } } else { gsto = 0; //placeholder until gstime implemented; //TODO: impl gstime // gsto = gstime(epoch + 2433281.5); } // set variables and return object InitlResult initlResult = new InitlResult(); initlResult.no = no; initlResult.method = method; initlResult.ainv = ainv; initlResult.ao = ao; initlResult.con41 = con41; initlResult.con42 = con42; initlResult.cosio = cosio; initlResult.cosio2 = cosio2; initlResult.eccsq = eccsq; initlResult.omeosq = omeosq; initlResult.posq = posq; initlResult.rp = rp; initlResult.rteosq = rteosq; initlResult.sinio = sinio; initlResult.gsto = gsto; return(initlResult); }