001    /*
002     * This file is part of McIDAS-V
003     *
004     * Copyright 2007-2013
005     * Space Science and Engineering Center (SSEC)
006     * University of Wisconsin - Madison
007     * 1225 W. Dayton Street, Madison, WI 53706, USA
008     * https://www.ssec.wisc.edu/mcidas
009     * 
010     * All Rights Reserved
011     * 
012     * McIDAS-V is built on Unidata's IDV and SSEC's VisAD libraries, and
013     * some McIDAS-V source code is based on IDV and VisAD source code.  
014     * 
015     * McIDAS-V is free software; you can redistribute it and/or modify
016     * it under the terms of the GNU Lesser Public License as published by
017     * the Free Software Foundation; either version 3 of the License, or
018     * (at your option) any later version.
019     * 
020     * McIDAS-V is distributed in the hope that it will be useful,
021     * but WITHOUT ANY WARRANTY; without even the implied warranty of
022     * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
023     * GNU Lesser Public License for more details.
024     * 
025     * You should have received a copy of the GNU Lesser Public License
026     * along with this program.  If not, see http://www.gnu.org/licenses.
027     */
028    package edu.wisc.ssec.mcidasv.data.adde.sgp4;
029    
030    /**
031     * Astrodynamic Constants
032     */
033    public class AstroConst
034    {
035    
036        /**
037         * Modified Julian Date of J2000.0
038         */
039        public final static double MJD_J2000 = 51544.5;    // Modif. Julian Date of J2000.0
040        /**
041         * Gravitational Constant times Earth Mass [m^3/s^2]; JGM3
042         */
043        public final static double GM_Earth = 398600.4415e+9; // 9
044        /**
045         * Radius Earth [m]; WGS-84 (semi-major axis, a) (Equatorial Radius)
046         */
047        public final static double R_Earth = 6378.1363E3; // Radius Earth [m]; WGS-84
048        /**
049         * Arithmetic mean radius of the Earth = (2a+b)/3 [m]; WGS-84
050         */
051        public final static double R_Earth_mean = 6371008.7714; // Mean Radius Earth [m]; WGS-84
052        /**
053         * Semi-minor axis of the Earth = polar radius = b = (1?f)a [m]; WGS-84 (semi-major axis, a) (Equatorial Radius)
054         */
055        public final static double R_Earth_minor = 6356752.3142; // [m]; WGS-84
056        /**
057         * Radius Earth [m]; WGS-84 (semi-major axis, a) (Equatorial Radius)
058         */
059        public final static double R_Earth_major = 6378.1363E3; // Radius Earth [m]; WGS-84
060        /**
061         * Earth Flattening; WGS-84
062         */
063        public final static double f_Earth = 1.0 / 298.257223563; // Flattening; WGS-84 
064        /**
065         * Gravitational Constant times sun mass [m^3/s^2]; IAU 1976
066         */
067        public final static double GM_Sun = 1.32712438e+20;    // [m^3/s^2]; IAU 1976
068        /**
069         * Gravitational Constant times moon mass [m^3/s^2]; DE200
070         */
071        public final static double GM_Moon = GM_Earth / 81.300587;// [m^3/s^2]; DE200
072        /**
073         * Arcseconds per radian
074         */
075        public final static double Arcs = 3600.0 * 180.0 / Math.PI;     // Arcseconds per radian
076        /**
077         * Degrees per radian
078         */
079        public final static double Deg = 180.0 / Math.PI;          // Degrees per radian
080        /**
081         * Radians per degree
082         */
083        public final static double Rad = Math.PI / 180.0;          // Radians per degree
084        /**
085         * Astronomical unit [m]; IAU 1976
086         */
087        public final static double AU = 149597870000.0;      // Astronomical unit [m]; IAU 1976
088        /**
089         * Speed of light  [m/s]; IAU 1976
090         */
091        public final static double c_light = 299792458.0;         // Speed of light  [m/s]; IAU 1976
092        /**
093         * Solar radiation pressure at 1 AU. [N/m^2] (~1367 W/m^2); IERS 96
094         */
095        public final static double P_Sol = 4.560E-6;          // [N/m^2] (~1367 W/m^2); IERS 96
096        /**
097         * Difference in days between Julian to Modified Julian dates
098         */
099        public final static double JDminusMJD = +2400000.5;  // Difference in days between Julian to Modified Julian dates
100        /**
101         * EWG96 - spherical harmonics for  Earth gravity
102         */
103        public final static double[][] CS = {
104            {1.00000000E+000, 0.00000000E+000, 1.54310000E-009, 2.68424890E-007, -4.49144873E-007, -8.08586948E-008, 2.06841175E-008, 6.98503096E-008, 4.05480290E-008, 1.40896376E-008, -8.11410140E-008, -1.58564025E-008, -2.46652822E-008, 2.12712874E-008, 1.54901114E-008, 5.57938101E-009, 1.60312924E-008, -1.46657305E-008, -1.80814610E-008, 5.74640504E-010, 2.95879626E-009, 1.22686232E-008, -1.59124408E-009, 6.65950295E-009, -7.16109670E-010, -3.16730604E-009, -2.99214279E-009, 1.43950291E-009, 2.97243229E-009, -3.61842391E-009, 4.50150898E-010, -5.72989567E-009, 4.48266424E-010, -7.47819338E-010, 2.17576429E-009, -3.47711651E-009, 1.70497068E-009, -3.65731664E-010, 1.51499877E-009, 1.71371576E-009, -5.26981171E-011, -1.28360232E-009, 6.34240989E-010, 4.26110701E-010, -2.40907557E-010, -1.63578141E-009, 2.99105637E-010, -4.39713795E-010, 8.69226480E-010, -6.76296205E-011, -4.22820806E-010, 8.62587487E-010, -1.56276859E-009, 2.41223100E-010, 7.38488414E-010, 1.35932032E-009, 8.98686574E-010, -7.61396236E-010, -3.47603752E-010, -5.61000426E-010, 5.84542468E-011, 2.94004066E-010, 8.54434057E-010, 4.07397608E-010, -1.26306399E-010, -1.02669514E-009, -3.86074932E-010, 4.45661394E-010, 7.00354529E-010, -6.74961461E-010, -6.87110263E-010, 5.63767446E-010, -3.40854157E-010, -1.94621445E-010, 2.80889126E-010, -2.85046614E-010, -6.17755606E-011, -1.01006523E-010, 5.00062896E-010, 1.62329011E-010, -1.12419502E-010},
105            {0.00000000E+000, 0.00000000E+000, -9.03803807E-007, -2.11437612E-007, 1.48177868E-007, -5.23291936E-008, -4.64930357E-008, 9.26967114E-009, 5.37301949E-009, -2.23177405E-009, -3.06683731E-009, -5.12931944E-009, 1.46431604E-009, -2.54698406E-009, -1.88311945E-010, -1.01774873E-009, 8.65768669E-010, 1.78104177E-010, 2.52504297E-010, -3.06074718E-011, 3.78606608E-010, 7.61353535E-011, -3.96066477E-011, -8.82282205E-011, 2.82778998E-010, 1.40268168E-010, 1.68143690E-010, 6.98900808E-012, -1.05053721E-010, -3.29300581E-011, -3.11270489E-011, 7.22404148E-011, -3.62704694E-011, -5.18250818E-012, 5.23722216E-011, 7.07332073E-011, -3.08849489E-011, -1.19993373E-010, -2.44815636E-012, 5.67905571E-011, -8.62927707E-012, 1.32569435E-011, -1.38221975E-011, -4.73128565E-012, 1.59549492E-011, -1.85458036E-011, 1.06900505E-011, -6.11785933E-012, 2.15290493E-012, 1.72633616E-011, -1.77499788E-011, -5.54531551E-012, 2.78063824E-012, -3.33499536E-012, -7.62580697E-012, -9.82016876E-012, 2.28082775E-011, 8.69734377E-012, 2.14902575E-011, 4.50088823E-012, -8.91197448E-012, -6.03876431E-012, 1.96376207E-011, 2.69531174E-012, 1.23278537E-011, 1.82430988E-012, -2.96637911E-012, -1.60644070E-011, -5.06880452E-012, 6.08209826E-012, 4.34961805E-012, -1.03951616E-011, -2.29322845E-012, -6.65019305E-013, 4.12826899E-012, -7.96060213E-012, 5.82235822E-012, 5.99299849E-012, -2.26569971E-012, -1.10420098E-013, -5.11283557E-012},
106            {-1.08262668E-003, -2.41400000E-010, 1.57446037E-006, 1.97222559E-007, -1.20077668E-008, -7.09734237E-009, 1.87163685E-010, -3.05943880E-009, -8.72954589E-010, -5.60998447E-010, -8.96536678E-010, -6.83255780E-010, 9.09866579E-011, 2.98330188E-010, 5.22039290E-011, 3.72366876E-011, -4.05148112E-011, 1.07431107E-011, -6.75548603E-012, 1.81542485E-012, 4.03189822E-011, 2.13170172E-011, 8.96959994E-012, -1.20915595E-011, -6.38993336E-012, -7.77060426E-012, 2.39890367E-012, 5.52116424E-012, 5.16469277E-012, -4.49807877E-012, -5.33761401E-012, -2.76134231E-012, 1.35218186E-012, 2.19253903E-012, 2.33042191E-012, 9.35400825E-013, -3.96130976E-012, -1.65325200E-013, -2.03495957E-013, 1.27650467E-012, -3.96988195E-013, 4.75140455E-013, 1.51627294E-012, -2.52980858E-014, -5.31365953E-013, -8.73082173E-013, 4.26173482E-015, 3.18597255E-013, 3.15550691E-013, 1.68140625E-013, -1.17792474E-013, -7.78634906E-013, -1.52749812E-013, 2.14381137E-013, 1.57323080E-013, 2.76100140E-013, 1.29082182E-013, 3.18869057E-013, -5.32286938E-013, -4.01495533E-013, 1.98553857E-015, 3.97495698E-013, 9.83763384E-014, -1.52381766E-013, -9.71456772E-014, 1.84615535E-015, -6.97614810E-014, 7.57332765E-015, 8.70561406E-014, -1.42316869E-013, -2.76357489E-014, -1.05987488E-014, 1.71823099E-013, 7.71773355E-014, 2.77797105E-014, -1.01205980E-013, -4.40487781E-014, -4.39616723E-014, 5.70675348E-014, 6.58356668E-014, 1.09891254E-014},
107            {2.53265649E-006, 2.19263853E-006, 3.08989207E-007, 1.00548778E-007, 6.52571425E-009, 3.86712336E-010, -1.78450285E-009, -2.62893843E-010, 9.13943149E-011, 1.66584315E-011, -4.66932158E-011, -2.68075044E-011, 1.28845257E-012, -2.80786695E-012, -4.11179003E-012, 9.27377307E-013, 5.51541075E-012, 2.30398233E-012, -1.02477607E-013, -4.78432808E-013, -1.10985159E-012, 8.63706855E-013, 6.61412960E-013, 2.37058625E-013, 1.53739655E-013, 1.66285119E-014, -4.11498819E-013, 1.74903958E-013, 2.05030949E-013, 3.28278339E-014, -5.04910098E-014, -5.69766829E-014, -6.97188189E-014, 2.11005968E-014, 1.00044414E-014, 6.96576533E-014, 9.53225927E-015, 2.77814343E-015, -2.38052051E-014, -2.55420647E-014, -3.43679851E-014, 2.18308076E-014, 5.87017448E-015, 6.71977787E-015, -7.32792389E-015, 3.31543281E-015, -2.15025315E-014, 2.54347706E-015, -3.08690146E-015, 2.28413531E-014, 8.93560106E-016, 4.88250216E-015, 2.66968531E-015, 1.42820244E-015, -9.04415902E-015, 2.74610211E-015, 8.97861031E-015, -2.07826501E-015, 6.97361128E-017, 2.67310730E-015, 6.32066699E-018, -2.55444502E-015, -3.31193717E-016, 5.34383925E-015, 2.25002189E-015, -1.82793461E-015, -3.07062783E-015, 1.32559883E-015, -2.26163033E-016, 2.22945822E-016, 1.48855657E-015, -1.62527719E-015, -1.34063478E-015, -2.59503410E-016, 2.50511508E-015, -1.92702366E-016, -9.52873017E-016, -5.90405350E-018, -2.06147283E-016, -3.60279907E-016, -7.33327365E-016},
108            {1.61962159E-006, -5.08799360E-007, 7.84175860E-008, 5.92099403E-008, -3.98407412E-009, -1.64818263E-009, -4.32981337E-010, 6.27778172E-012, 1.61353296E-011, -5.53453788E-012, -3.13743770E-012, 1.96838066E-012, 2.08290995E-013, 1.22628827E-012, -2.15565929E-013, 7.77370811E-014, -2.29399478E-014, 3.60489254E-014, 1.11601347E-013, 9.37452391E-014, -2.02942252E-014, 3.60882173E-015, 1.27689758E-015, -2.26830463E-016, -2.48286123E-014, -8.91909785E-016, 7.37658516E-015, 9.48281114E-015, -2.46183755E-015, 2.99406517E-015, -2.29188980E-015, 1.13955950E-015, 5.85503470E-016, 1.04651112E-015, 8.68160559E-016, -2.48115516E-015, 2.65856755E-016, -9.33749008E-017, 1.09890158E-015, 2.19911149E-016, -2.23620811E-017, -3.60727795E-016, -3.85248939E-016, 6.13352858E-016, 2.57977864E-016, -9.68970210E-017, -6.25717493E-016, -1.26771987E-016, -1.23366509E-016, -7.05592114E-018, -1.21922440E-016, -1.49991280E-016, -6.68602012E-017, -1.11195460E-016, -6.49505248E-017, 1.23198289E-016, 1.90382448E-017, 2.80238763E-017, -6.57719690E-017, -5.46568573E-017, -9.81274105E-018, -1.22017240E-018, 2.87924683E-017, 7.70823969E-018, -4.25828844E-017, -1.32321017E-017, 5.21814806E-017, 3.34002084E-017, 1.80736258E-018, 2.47218896E-017, 2.75661227E-017, 8.93101181E-018, 1.53449879E-017, 3.87364082E-018, -2.04436469E-017, 1.09826765E-017, -1.91412929E-019, 1.32641293E-018, 5.96567879E-018, -3.79451346E-018, 4.03657962E-018},
109            {2.27296083E-007, -5.31803015E-008, 1.05587168E-007, -1.49300637E-008, -2.29930029E-009, 4.30822462E-010, -5.52609366E-011, 1.05356930E-011, 8.63661946E-012, 2.94330017E-012, -5.52270499E-013, 1.35820157E-013, 9.28981170E-014, -9.83140667E-015, 2.42978618E-015, -2.44367502E-014, -1.61912548E-014, -9.52652578E-015, -3.26112101E-015, 3.29525945E-015, -2.89868247E-016, -2.78268852E-019, -5.00859562E-016, 9.91939306E-016, 9.02658922E-017, 1.67260724E-017, -2.92522396E-016, 1.55958544E-016, 2.76364329E-016, 1.66699185E-016, 4.53346556E-017, 1.63295806E-017, -7.63972044E-017, -2.43013086E-017, 5.47895838E-017, 4.84065814E-017, -1.66066850E-017, 3.55744968E-017, 1.22664757E-017, 9.47349138E-018, 1.25599486E-017, 5.38210417E-018, -1.87427065E-018, 5.84534228E-019, 5.99353640E-018, -7.03462966E-019, -5.02785115E-018, -4.16558018E-018, 8.52833301E-018, 3.33743354E-018, 1.56133236E-018, -2.53286572E-018, -6.38822123E-019, 3.65853633E-020, -2.28458509E-018, -9.45297800E-019, 3.41607903E-019, -1.43382784E-019, 2.12883855E-019, -2.17130831E-019, -9.45279072E-019, -6.59467141E-019, -1.60405843E-018, 9.76506511E-019, -1.43941597E-019, 5.48691415E-020, -4.85037952E-019, 5.24525425E-021, 1.60471849E-019, 4.49378613E-019, 3.69112123E-020, -1.33046313E-019, -6.82728273E-020, 4.05877015E-020, -1.45435740E-020, 1.30863145E-019, 2.43253610E-019, 7.05771524E-020, -1.07528604E-019, -1.09255200E-019, 2.12222664E-020},
110            {-5.40681239E-007, -5.98656699E-008, 5.99291239E-009, 1.18542073E-009, -3.26361778E-010, -2.15594107E-010, 2.25434971E-012, 4.53404227E-013, 3.81123970E-013, -1.83947129E-013, -2.83346836E-015, -3.73003245E-014, 7.90931969E-015, -7.85636339E-016, -3.15643361E-016, 2.50815727E-016, -2.68329714E-016, -8.54318009E-017, 9.50218985E-017, -6.90394120E-017, -1.53044141E-019, 2.19485809E-017, 1.60383714E-017, -3.04012550E-018, 9.67853726E-018, -6.48588226E-018, 5.86346598E-018, -3.67994784E-018, 3.84951576E-018, -1.28140382E-018, 8.80618690E-019, -2.66232294E-019, 8.66101818E-019, 6.41810564E-019, -1.39089637E-018, 8.27471280E-019, 9.02892800E-019, 1.06177943E-018, -2.86078252E-019, -1.43450046E-019, 1.76168554E-019, 2.05473616E-019, -9.77335772E-020, 2.25854393E-019, 4.15710622E-019, 8.94278421E-020, -2.28854217E-019, -1.02032273E-019, 5.61064074E-020, 6.76381516E-020, 7.84030244E-020, 4.77807330E-020, -2.66524199E-020, -6.91849850E-020, 1.75730606E-020, 3.21292032E-020, -7.14436106E-021, -2.96784806E-021, 1.71821433E-020, 8.65234271E-021, -1.34830740E-020, 5.95366561E-021, 1.03301202E-020, 9.33715751E-021, 2.16431358E-021, -1.20993343E-021, 7.51813861E-021, -5.12264488E-021, -1.09397151E-020, -1.11455258E-021, 3.02049038E-021, 3.86060905E-021, 6.66243069E-021, 2.05714240E-021, -2.00062227E-021, -5.42902767E-021, -2.43526919E-021, 1.56441130E-021, 1.08735050E-021, -1.17703711E-021, -1.87523423E-022},
111            {3.52359908E-007, 2.04845995E-007, 3.28432703E-008, 3.52709152E-009, -5.84213577E-010, 6.85778101E-013, -2.49081644E-011, 2.02544297E-014, 1.53651295E-013, -1.00856971E-015, -1.05231479E-014, 1.16219383E-015, 3.76133302E-016, -1.17958445E-016, -9.35725610E-017, 7.70165144E-017, 1.03659054E-017, 4.59289071E-018, 3.40945629E-018, -5.31005717E-018, 6.56963210E-019, 3.70907385E-019, 8.31855442E-019, -4.03083806E-020, -3.83529569E-019, -5.05447623E-020, 5.52997370E-020, -3.23691023E-019, -9.08132318E-020, 2.32645225E-019, 7.48169045E-020, 2.88250733E-020, 4.88202027E-020, 1.14228844E-019, 2.95020775E-020, 4.66177629E-020, -2.06147285E-020, -7.15635969E-021, 1.18061819E-020, 2.58656997E-020, 7.08000115E-021, -6.53688947E-021, 8.30993168E-022, 3.01348698E-022, 3.51958037E-022, 3.49496912E-022, 2.06297944E-021, -6.84853075E-022, 2.58280099E-021, 1.50660499E-021, 3.99007940E-022, 1.29340161E-021, -2.72132911E-022, -6.19381441E-023, -4.31305208E-022, 6.67514094E-023, -5.39303848E-022, 1.29804820E-021, 6.10453604E-022, 1.32553929E-023, -1.00221496E-022, -5.73985179E-023, 1.01978566E-022, 2.08511574E-022, 5.64590266E-023, 7.15841901E-023, 2.85824541E-023, -9.72538272E-023, 3.94189250E-023, 7.93753233E-023, -1.87602911E-023, 8.65121979E-023, 1.80331436E-023, 9.93061494E-024, -6.35399857E-023, 1.99854396E-023, -1.60484049E-023, 3.95834066E-024, -3.62419238E-023, 2.68153390E-023, 7.34714544E-024},
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185            
186            
187    }