US1976.h

/*******************************************************************
*   US1976.h
*   KPS
*
*	Author: Kareem Omar
*	kareem.omar@uah.edu
*	https://github.com/komrad36
*
*	Last updated Feb 27, 2016
*   This application is entirely my own work.
*******************************************************************/
//
// US 1976 Atmospheric Density model table
// NOTE: this means the full model has not been implemented here.
// Instead, the predicted density has been tabulated for every
// 1 km of altitude from 0 to 1000 km, and a function is
// provided to linearly interpolate for any requested altitude
// in between.
//

#pragma once

#include <cmath>

constexpr int INT_M_PER_KM		= 1000;
constexpr double M_PER_KM		= 1000.0;
constexpr double KM_PER_M		= 1e-3;

double get1976Density(const double alt);

constexpr double tbl[]{
	1.22499915588771,
	1.11161862716639,
	1.00648588649886,
	0.909170877581343,
	0.819256806331967,
	0.73634001677258,
	0.660029866127448,
	0.589948599088804,
	0.525731221195707,
	0.467025371268802,
	0.413491192839202,
	0.364801204505028,
	0.31193726732484,
	0.266595365100045,
	0.227855408162594,
	0.194754495935023,
	0.166470405766898,
	0.142301005458139,
	0.121646683722349,
	0.103995355444916,
	0.0889096637695564,
	0.0757142023689823,
	0.0645096912124542,
	0.0550058595321232,
	0.0469381737336847,
	0.0400842317393292,
	0.0342568976430443,
	0.0292985801069946,
	0.0250764598273832,
	0.0214785052282787,
	0.0184101433732318,
	0.0157914760018161,
	0.0135549494863455,
	0.0115731865743592,
	0.00988775312434715,
	0.0084638330692275,
	0.00725841737048534,
	0.00623596107968182,
	0.00536702170004123,
	0.00462715776437976,
	0.00399603569149139,
	0.00345670378106915,
	0.00299500067250381,
	0.00259907224797147,
	0.00225897620649031,
	0.00196635768237485,
	0.00171418256775124,
	0.00149651780974528,
	0.0013166252374961,
	0.0011627055517731,
	0.00102681965132429,
	0.00090684997216897,
	0.000805590773502172,
	0.000717863293821908,
	0.000638947993617065,
	0.000568035353638936,
	0.000504383163009522,
	0.000447311517781016,
	0.000396198146396642,
	0.000350474043634943,
	0.000309619395490699,
	0.000273159778283404,
	0.000240662616089589,
	0.000211733881369097,
	0.000186015024398927,
	0.000163180117842035,
	0.000142933203463757,
	0.000125005828665904,
	0.000109154761139131,
	9.51598705386839e-05,
	8.28221666678401e-05,
	7.1961984208224e-05,
	6.23725985707026e-05,
	5.38223130995436e-05,
	4.63831072382604e-05,
	3.99186463893237e-05,
	3.43083234426562e-05,
	2.94455615704533e-05,
	2.52362873704301e-05,
	2.15975585601298e-05,
	1.84563317680184e-05,
	1.57483572064402e-05,
	1.34171881543261e-05,
	1.14132942305829e-05,
	9.6932684086869e-06,
	8.21911861510326e-06,
	6.94550945909488e-06,
	5.81356637973172e-06,
	4.86643835280904e-06,
	4.07376992795218e-06,
	3.41024081366103e-06,
	2.85470004586746e-06,
	2.38829163134517e-06,
	1.99611617455139e-06,
	1.66687751517861e-06,
	1.39088382109142e-06,
	1.15986089125722e-06,
	9.66768168768235e-07,
	8.05615762492758e-07,
	6.71273921071769e-07,
	5.59415950531629e-07,
	4.68727550309245e-07,
	3.92869737031204e-07,
	3.29447420162305e-07,
	2.76434451423884e-07,
	2.32118373483663e-07,
	1.95051562226999e-07,
	1.64006745590015e-07,
	1.37932501776557e-07,
	1.1589431471297e-07,
	9.69203472716808e-08,
	8.09894115950878e-08,
	6.8278676321961e-08,
	5.80305780061689e-08,
	4.9687549818882e-08,
	4.28342248070884e-08,
	3.71578178553054e-08,
	3.24201320861641e-08,
	2.84378162003968e-08,
	2.50683325201199e-08,
	2.21998513353728e-08,
	1.97498566809578e-08,
	1.76496323062208e-08,
	1.58383228714687e-08,
	1.42674361959563e-08,
	1.28980007752879e-08,
	1.16984466711482e-08,
	1.06430089480015e-08,
	9.71051308303718e-09,
	8.88344265081516e-09,
	8.14721769989024e-09,
	7.48963183579023e-09,
	6.90040985867298e-09,
	6.37085768827454e-09,
	5.89358345120011e-09,
	5.46227382027474e-09,
	5.07151353806804e-09,
	4.71663891086616e-09,
	4.39361819439186e-09,
	4.09895339959383e-09,
	3.8295992632842e-09,
	3.5828960542208e-09,
	3.35651359367879e-09,
	3.14840441471143e-09,
	2.95676440625301e-09,
	2.77999961679081e-09,
	2.61669814976994e-09,
	2.4656062858375e-09,
	2.32560812797236e-09,
	2.19570819390747e-09,
	2.07501667133856e-09,
	1.96273581575368e-09,
	1.85814999823835e-09,
	1.76061535696452e-09,
	1.66955166667703e-09,
	1.58443510271862e-09,
	1.50479193256696e-09,
	1.43019300296622e-09,
	1.36024891129411e-09,
	1.29460576688934e-09,
	1.23294146230393e-09,
	1.17496238635136e-09,
	1.12040052080459e-09,
	1.06901087099346e-09,
	1.02056918762943e-09,
	9.74869943170864e-10,
	9.3172453111447e-10,
	8.90959660909753e-10,
	8.52415924864706e-10,
	8.1594651654648e-10,
	7.81416082863445e-10,
	7.48699694316291e-10,
	7.17681919883488e-10,
	6.88255994710024e-10,
	6.60323070238572e-10,
	6.33791537693719e-10,
	6.08576416931552e-10,
	5.84598803623289e-10,
	5.61785368573287e-10,
	5.40067903696518e-10,
	5.19382909812797e-10,
	4.99671221968159e-10,
	4.80877668477694e-10,
	4.62950760308905e-10,
	4.45842407797629e-10,
	4.29507662016699e-10,
	4.13904478406749e-10,
	3.98993500533717e-10,
	3.84737862063065e-10,
	3.7110300524032e-10,
	3.58056514344316e-10,
	3.45567962736428e-10,
	3.33608772268494e-10,
	3.22152083936115e-10,
	3.11172638774462e-10,
	3.00646668092292e-10,
	2.90551792227724e-10,
	2.8086692708807e-10,
	2.71572197806278e-10,
	2.62648858909658e-10,
	2.54079220453085e-10,
	2.45846579619637e-10,
	2.37935157337309e-10,
	2.30330039501456e-10,
	2.23017122429664e-10,
	2.15983062209064e-10,
	2.09215227626215e-10,
	2.02701656396876e-10,
	1.96431014437585e-10,
	1.90392557943187e-10,
	1.84576098054644e-10,
	1.7897196791971e-10,
	1.73570991965679e-10,
	1.68364457218424e-10,
	1.63344086515694e-10,
	1.58502013475063e-10,
	1.53830759088282e-10,
	1.49323209824116e-10,
	1.44972597131184e-10,
	1.40772478240919e-10,
	1.36716718178623e-10,
	1.32799472897785e-10,
	1.29015173459388e-10,
	1.25358511183961e-10,
	1.21824423709626e-10,
	1.18408081894458e-10,
	1.15104877506097e-10,
	1.11910411645816e-10,
	1.0882048385814e-10,
	1.05831081880714e-10,
	1.02938371992428e-10,
	1.00138689920829e-10,
	9.74285322726518e-11,
	9.48045484539039e-11,
	9.22635330482861e-11,
	8.98024186249461e-11,
	8.7418268948579e-11,
	8.51082725667661e-11,
	8.28697367511665e-11,
	8.07000817707789e-11,
	7.85968354769718e-11,
	7.65576281813465e-11,
	7.45801878087673e-11,
	7.26623353090717e-11,
	7.08019803120633e-11,
	6.89971170113968e-11,
	6.72458202639072e-11,
	6.55462418918131e-11,
	6.38966071760174e-11,
	6.22952115295015e-11,
	6.07404173404979e-11,
	5.92306509757762e-11,
	5.77643999349938e-11,
	5.63402101476182e-11,
	5.4956683404459e-11,
	5.36124749163399e-11,
	5.23062909928921e-11,
	5.10368868348849e-11,
	4.98030644339047e-11,
	4.86036705735631e-11,
	4.74375949267701e-11,
	4.63037682439234e-11,
	4.52011606271785e-11,
	4.41287798862431e-11,
	4.30856699714027e-11,
	4.20709094797429e-11,
	4.10836102307559e-11,
	4.01229159077463e-11,
	3.91880007616498e-11,
	3.82780683740729e-11,
	3.73923504765446e-11,
	3.6530105823133e-11,
	3.56906191137462e-11,
	3.48731999655789e-11,
	3.40771819303131e-11,
	3.33019215548048e-11,
	3.25467974831197e-11,
	3.18112095978913e-11,
	3.10945781990879e-11,
	3.03963432183752e-11,
	2.97159634673607e-11,
	2.90529159180944e-11,
	2.84066950142877e-11,
	2.77768120117943e-11,
	2.71627943469698e-11,
	2.65641850316026e-11,
	2.59805420731732e-11,
	2.54114379192654e-11,
	2.48564589250114e-11,
	2.43152048425102e-11,
	2.37872883312142e-11,
	2.3272334488327e-11,
	2.27699803983045e-11,
	2.22798747005985e-11,
	2.18016771748216e-11,
	2.13350583425555e-11,
	2.08796990850624e-11,
	2.04352902761935e-11,
	2.00015324298272e-11,
	1.95781353611972e-11,
	1.91648178615062e-11,
	1.87613073852451e-11,
	1.83673397496703e-11,
	1.79826588459142e-11,
	1.76070163612306e-11,
	1.72401715118984e-11,
	1.68818907863334e-11,
	1.65319476979733e-11,
	1.61901225475268e-11,
	1.58562021941916e-11,
	1.55299798354701e-11,
	1.52112547952218e-11,
	1.48998323196146e-11,
	1.45955233806472e-11,
	1.42981444869338e-11,
	1.40075175014523e-11,
	1.37234694659748e-11,
	1.34458324319079e-11,
	1.31744432972857e-11,
	1.29091436496661e-11,
	1.26497796146969e-11,
	1.23962017101237e-11,
	1.2148264705024e-11,
	1.1905827484062e-11,
	1.16687529165647e-11,
	1.14369077302316e-11,
	1.12101623892966e-11,
	1.09883909769685e-11,
	1.07714710819848e-11,
	1.055928368912e-11,
	1.03517130734962e-11,
	1.01486466985498e-11,
	9.94997511751631e-12,
	9.75559187829817e-12,
	9.56539343158766e-12,
	9.37927904212285e-12,
	9.19715070295813e-12,
	9.0189130526371e-12,
	8.84447329515859e-12,
	8.67374112263308e-12,
	8.50662864052943e-12,
	8.34305029541601e-12,
	8.18292280510531e-12,
	8.02616509111332e-12,
	7.87269821334968e-12,
	7.72244530695711e-12,
	7.57533152122257e-12,
	7.43128396048518e-12,
	7.29023162696907e-12,
	7.15210536547216e-12,
	7.01683780984455e-12,
	6.88436333119304e-12,
	6.75461798774994e-12,
	6.62753947634799e-12,
	6.50306708544442e-12,
	6.38114164963993e-12,
	6.26170550564001e-12,
	6.1447024496084e-12,
	6.03007769586469e-12,
	5.9177778368786e-12,
	5.80775080451727e-12,
	5.69994583250131e-12,
	5.59431342002896e-12,
	5.49080529652809e-12,
	5.38937438749751e-12,
	5.28997478140088e-12,
	5.19256169757713e-12,
	5.09709145513358e-12,
	5.00352144278822e-12,
	4.9118100896297e-12,
	4.821916836764e-12,
	4.73380210981846e-12,
	4.64742729227466e-12,
	4.56275469960248e-12,
	4.47974755416919e-12,
	4.39836996089778e-12,
	4.31858688365015e-12,
	4.24036412231129e-12,
	4.16366829055163e-12,
	4.08846679424556e-12,
	4.01472781052477e-12,
	3.94242026744587e-12,
	3.87151382425266e-12,
	3.80197885221356e-12,
	3.73378641601645e-12,
	3.66690825570228e-12,
	3.60131676912084e-12,
	3.53698499489217e-12,
	3.47388659585707e-12,
	3.41199584300187e-12,
	3.35128759984206e-12,
	3.29173730725081e-12,
	3.23332096871799e-12,
	3.17601513602663e-12,
	3.11979689533373e-12,
	3.06464385364263e-12,
	3.0105341256553e-12,
	2.95744632099241e-12,
	2.90535953177003e-12,
	2.85425332052201e-12,
	2.80410770845752e-12,
	2.75490316404338e-12,
	2.70662059190151e-12,
	2.65924132201171e-12,
	2.61274709921065e-12,
	2.56712007297824e-12,
	2.52234278750253e-12,
	2.47839817201488e-12,
	2.43526953138736e-12,
	2.39294053698449e-12,
	2.35139521776179e-12,
	2.31061795160376e-12,
	2.27059345689427e-12,
	2.23130678431252e-12,
	2.1927433088478e-12,
	2.15488872202684e-12,
	2.11772902434724e-12,
	2.08125051791132e-12,
	2.0454397992542e-12,
	2.01028375236076e-12,
	1.97576954186577e-12,
	1.94188460643215e-12,
	1.90861665230198e-12,
	1.87595364701544e-12,
	1.84388381329291e-12,
	1.81239562307543e-12,
	1.78147779171904e-12,
	1.75111927233882e-12,
	1.72130925029804e-12,
	1.69203713783865e-12,
	1.66329256884887e-12,
	1.63506539376424e-12,
	1.60734567459821e-12,
	1.58012368009872e-12,
	1.55338988102728e-12,
	1.52713494555711e-12,
	1.50134973478698e-12,
	1.47602529836768e-12,
	1.45115287023789e-12,
	1.42672386446644e-12,
	1.4027298711982e-12,
	1.37916265270045e-12,
	1.35601413950733e-12,
	1.33327642665945e-12,
	1.31094177003621e-12,
	1.28900258277816e-12,
	1.26745143179719e-12,
	1.24628103437198e-12,
	1.2254842548265e-12,
	1.20505410128935e-12,
	1.18498372253169e-12,
	1.16526640488177e-12,
	1.14589556921393e-12,
	1.12686476801015e-12,
	1.10816768249218e-12,
	1.0897981198224e-12,
	1.07175001037166e-12,
	1.05401740505217e-12,
	1.03659447271398e-12,
	1.01947549760312e-12,
	1.00265487688e-12,
	9.86127118196397e-13,
	9.698868373295e-13,
	9.53928755871604e-13,
	9.38247698973943e-13,
	9.22838593143293e-13,
	9.0769646409001e-13,
	8.92816434626155e-13,
	8.78193722612404e-13,
	8.6382363895257e-13,
	8.49701585634424e-13,
	8.35823053815741e-13,
	8.22183621954343e-13,
	8.08778953981072e-13,
	7.95604797514599e-13,
	7.82656982117006e-13,
	7.69931417589128e-13,
	7.57424092304661e-13,
	7.45131071582059e-13,
	7.33048496093284e-13,
	7.21172580308492e-13,
	7.0949961097576e-13,
	6.98025945635003e-13,
	6.86748011165197e-13,
	6.75662302364156e-13,
	6.64765380559971e-13,
	6.54053872253441e-13,
	6.43524467790632e-13,
	6.33173920064936e-13,
	6.22999043247804e-13,
	6.12996711547546e-13,
	6.03163857995471e-13,
	5.93497473258716e-13,
	5.83994604479129e-13,
	5.74652354137569e-13,
	5.65467878943025e-13,
	5.56438388745932e-13,
	5.47561145475164e-13,
	5.38833462098064e-13,
	5.30252701603022e-13,
	5.21816276004101e-13,
	5.13521645371031e-13,
	5.05366316864015e-13,
	4.97347843813564e-13,
	4.89463824803827e-13,
	4.81711902779588e-13,
	4.74089764172327e-13,
	4.66595138044908e-13,
	4.59225795254463e-13,
	4.51979547633027e-13,
	4.44854247185534e-13,
	4.3784778530478e-13,
	4.30958092002914e-13,
	4.24183135159143e-13,
	4.17520919783234e-13,
	4.10969487294459e-13,
	4.04526914815628e-13,
	3.98191314481889e-13,
	3.91960832763923e-13,
	3.8583364980524e-13,
	3.7980797877323e-13,
	3.73882065223673e-13,
	3.68054186478402e-13,
	3.62322651015821e-13,
	3.56685797873982e-13,
	3.51141996065961e-13,
	3.45689644007231e-13,
	3.40327168954781e-13,
	3.35053026457718e-13,
	3.29865699819093e-13,
	3.24763699568689e-13,
	3.19745562946565e-13,
	3.14809853397082e-13,
	3.09955160073192e-13,
	3.05180097350768e-13,
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