# Howell Jul07 - Solar insolation calculations using a QNial programming language adaptation of: # J. Laskar, P. Robutel, F. Joutel, M. Gastineau, A.C.M. Correia, B. Levrard 2004 # "A long term numerical solution for the insolation quantities of the Earth" # Astronomy & Astrophysics manuscript no. La-2004 May 23, 2004 # http://www.imcce.fr/fr/presentation/equipes/ASD/preprints/prep.2004/La_2004_prep.pdf # Solar constant assumed : 1368 # Latitude of calculations : 71 # Solar insolation average for each month (W/m2, roughly the 21st to 20th of first/second month): # ky BP 1 Dec-Jan 2 Jan-Feb 3 Feb-Mar 4 Mar-Apr 5 Apr-May 6 May-Jun 7 Jun-Jul 8 Jul-Aug 9 Aug-Sep 10 Sep-Oct 11 Oct-Nov 12 Nov-Dec a := -6012 0.0000000 11.5566403 81.1520111 215.8287717 394.1692667 541.4207429 527.0287171 360.4545257 178.0968974 51.7616087 2.7319365 0.0000000 -6011 0.0000000 12.4481795 80.4918223 207.8445754 376.6403220 525.8995963 529.8314351 375.2996884 189.7885603 55.8827093 3.0463560 0.0000000 -6010 0.0000000 13.2486650 80.1866063 201.0732715 359.6780207 506.8108784 527.2312000 389.5631334 204.7781655 62.9338232 3.8940454 0.0000000 -6009 0.0000000 13.8888992 80.2872801 196.0329872 344.9086027 486.7724503 519.4649206 400.6114726 221.0592811 72.5141833 5.4658143 0.0000000 -6008 0.0000000 14.2917355 80.7868176 193.0022184 333.4606192 468.0040094 507.7493034 406.7949467 236.4164511 83.9498343 7.8773749 0.0000000 -6007 0.0000000 14.3997234 81.6158880 192.0339255 325.8088733 452.1435256 493.9291163 407.5241738 248.7710736 96.0819130 11.3171193 0.0000000 -6006 0.0000000 14.2055155 82.6360437 193.0001862 322.1698113 440.5590436 480.2864482 403.4660259 256.3597690 106.9763237 15.5546139 0.0000000 -6005 0.0000000 13.7380524 83.7335388 195.7211764 322.3700846 433.5376044 468.1260231 395.8698635 258.8502450 115.2674464 20.0500780 0.0000000 -6004 0.0000000 13.0822091 84.7938252 199.9208480 326.1379109 431.1494701 458.4097285 386.1581886 256.5471262 119.8361320 24.0516100 0.0087933 -6003 0.0000000 12.3295404 85.7379686 205.2110430 332.9545724 433.0075609 451.4895827 375.5563678 250.4213925 120.4033307 26.6913827 0.1298375 -6002 0.0000000 11.6049471 86.5410321 211.2418661 342.3267805 438.5968797 447.2408637 364.7836388 241.4713151 117.3258979 27.5378889 0.2061327 -6001 0.0000000 11.0302611 87.1944091 217.4475789 353.3077129 446.9433668 445.2733561 354.5123413 230.9592621 111.5846314 26.6763069 0.2368749 -6000 0.0000000 10.6685515 87.6858375 223.3181804 365.1907757 457.5291848 445.4496022 345.1396794 219.5686078 103.8607963 24.3288035 0.1942248 -5999 0.0000000 10.5208140 87.9986930 228.2750226 376.7923563 469.2765987 447.3611317 337.0579884 208.3126979 95.3087351 21.1420409 0.1234730 -5998 0.0000000 10.5775630 88.0906498 231.8058103 387.0815021 481.3956258 450.9402829 330.7666376 197.8834801 86.6917275 17.6256019 0.0310376 -5997 0.0000000 10.8135758 87.9114810 233.5000029 395.0779924 493.1052392 456.2851733 326.7223269 188.9151127 78.6256190 14.2006236 -0.0003167 -5996 0.0000000 11.1718940 87.4413455 233.1933355 399.9357570 503.4552995 463.3272919 325.3826533 182.0651107 71.6979105 11.2315372 0.0000000 -5995 0.0000000 11.5879491 86.6940753 230.9438297 401.1053696 511.5367444 471.8405661 327.1616341 177.8825892 66.2991634 8.9061793 0.0000000 -5994 0.0000000 12.0026420 85.7270944 227.0988139 398.6595962 516.7699411 481.4423411 332.1474253 176.5928477 62.5487713 7.1723109 0.0000000 -5993 0.0000000 12.3621015 84.6538518 222.2304622 393.0320336 518.4610868 491.1415066 340.1616187 178.5172708 60.7179532 6.0535536 0.0000000 -5992 0.0000000 12.6372587 83.5943858 216.9701023 385.1455151 516.5527967 499.9118397 350.5741896 183.5813689 60.8495912 5.4533560 0.0000000 -5991 0.0000000 12.8052075 82.6594474 211.9584577 376.2709468 511.6894995 506.7890029 362.2425756 191.2411716 62.8073257 5.2990395 0.0000000 -5990 0.0000000 12.8353365 81.9407170 207.6933428 367.4533922 504.5593891 510.8446431 373.9866543 200.9737326 66.6122249 5.5701114 0.0000000 -5989 0.0000000 12.7221270 81.4753408 204.5634562 359.8571659 496.6362709 512.0259845 384.3053010 211.4925282 71.8034438 6.2261314 0.0000000 -5988 0.0000000 12.4730622 81.2464573 202.6439592 353.9870288 488.9619125 510.8093623 392.4064264 221.7617615 77.9273314 7.2399622 0.0000000 -5987 0.0000000 12.0739128 81.2316230 202.0772353 350.4336405 482.6340336 507.8626767 397.5342147 230.5316780 84.3023927 8.5921041 0.0000000 -5986 0.0000000 11.5542512 81.3567154 202.6347113 349.0473313 478.0908203 504.1361677 399.9308706 237.1935487 90.2567211 10.1509781 0.0000000 -5985 0.0000000 10.9640862 81.5668147 204.2312160 349.9223116 475.8574217 500.4281800 399.7549293 241.1051818 94.9979377 11.6934961 0.0000000 -5984 0.0000000 10.3834477 81.8120859 206.5703567 352.5941185 475.6769003 497.1613602 397.6597056 242.4890430 98.2416493 13.0613813 0.0000000 -5983 0.0000000 9.8300465 82.0629317 209.4532541 356.8011519 477.4404480 494.6233758 394.1188899 241.5042186 99.7414250 14.0835933 0.0000000 -5982 0.0000000 9.3531766 82.2904915 212.5229995 361.9686410 480.7336015 493.0033602 389.8053166 238.6730886 99.5370960 14.5896527 0.0000000 -5981 0.0000000 8.9735336 82.5034298 215.5942887 367.6398471 485.0106486 492.0560001 385.0322461 234.5696846 98.0240349 14.6274331 0.0000000 -5980 0.0000000 8.7234926 82.6891378 218.3423733 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503.8927654 493.7453820 363.8003488 207.2898692 79.0993662 9.8561727 0.0000000 -5972 0.0000000 10.2801000 83.5603127 219.6464755 380.8946849 501.5984177 492.7060985 363.5750151 207.1211214 78.8798336 9.8375175 0.0000000 -5971 0.0000000 10.6397791 83.7052543 218.4850472 378.2565005 498.8249708 491.2233660 363.3273437 207.2652989 79.0128930 9.9480200 0.0000000 -5970 0.0000000 10.9913042 83.8778132 217.4760571 375.7536941 495.8939731 489.3926693 362.8893196 207.4880819 79.3395904 10.1507210 0.0000000 -5969 0.0000000 11.3126986 84.0812904 216.7423393 373.6886789 493.1372567 487.2904934 362.0695496 207.5409612 79.7048825 10.4092255 0.0000000 -5968 0.0000000 11.6192933 84.2854088 216.1615770 371.9913607 490.7540430 485.2717967 361.0508273 207.3421432 79.9179946 10.6358267 0.0000000 -5967 0.0000000 11.9038782 84.4813979 215.7608814 370.8016838 488.9879297 483.4928729 359.7880344 206.7265974 79.8279227 10.7759699 0.0000000 -5966 0.0000000 12.1773403 84.6476739 215.3737091 369.8058524 487.6168651 482.0671312 358.6062565 205.9604502 79.5403710 10.8328881 0.0000000 -5965 0.0000000 12.4506523 84.7647685 214.9235007 368.9425283 486.7232053 481.1852634 357.6370310 205.0277314 78.9707140 10.7605989 0.0000000 -5964 0.0000000 12.7379963 84.8091448 214.2005776 367.7792576 485.9320155 480.9168793 357.2799207 204.3186089 78.3135911 10.5912571 0.0000000 -5963 0.0000000 13.0236297 84.7950784 213.2563769 366.2748300 485.0224070 481.0464978 357.5326497 204.0221689 77.7745646 10.4022667 0.0000000 -5962 0.0000000 13.3302328 84.6992502 211.8903274 364.0206557 483.6435385 481.6554962 358.7883306 204.4990794 77.5128464 10.2137757 0.0000000 -5961 0.0000000 13.6221761 84.5537651 210.2480777 361.1028074 481.5849023 482.3812493 360.9145613 205.9092804 77.7638833 10.1206056 0.0000000 -5960 0.0000000 13.8808817 84.3799667 208.3891665 357.5020330 478.6048806 482.9445875 363.8942724 208.4664365 78.7498950 10.1959914 0.0000000 -5959 0.0000000 14.0824886 84.2064010 206.4718668 353.4443754 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