# 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 : 74 # 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 3.5884733 61.1836039 197.3386115 393.2706614 550.4355334 535.8039209 353.5477259 156.8727097 33.3714805 0.1516844 0.0000000 -6011 0.0000000 4.0435589 60.8488947 189.6518595 374.8156776 534.6559559 538.6532608 369.7761702 168.3703744 36.7548934 0.2076865 0.0000000 -6010 0.0000000 4.4462432 60.7636600 183.1567804 356.9615833 515.2494061 536.0097311 385.7620763 183.4883230 42.8255111 0.3647591 0.0000000 -6009 0.0000000 4.7796776 60.9605191 178.3387080 341.4724446 494.8773331 528.1141413 398.7051644 200.2750663 51.3677114 0.8260404 0.0000000 -6008 0.0000000 4.9788227 61.4198928 175.4475141 329.4892268 475.7963930 516.2034560 406.6081155 216.5050656 61.9035368 1.7520673 0.0000000 -6007 0.0000000 5.0047149 62.0718486 174.5165765 321.5069788 459.6719802 502.1531594 408.6199129 229.9928822 73.4373918 3.3612948 0.0000000 -6006 0.0000000 4.8581329 62.7992201 175.4100616 317.7260531 447.8949408 488.2833375 405.4404998 238.7488418 84.1205827 5.6168640 0.0000000 -6005 0.0000000 4.5766851 63.5102693 177.9514473 317.9539518 440.7566760 475.9204383 398.2542435 242.2597764 92.5464533 8.3270511 0.0000000 -6004 0.0000000 4.1969453 64.1297864 181.8813175 321.8985628 438.3285944 466.0423649 388.5135565 240.6727426 97.4873553 10.8173221 0.0000000 -6003 0.0000000 3.7814507 64.6269995 186.8425621 329.0200169 440.2173206 459.0069970 377.5027678 234.8942662 98.5322902 12.5897788 0.0000000 -6002 0.0000000 3.3977294 65.0178247 192.5180212 338.8223595 445.8996272 454.6875357 365.9434171 225.9407050 95.9468065 13.1793704 0.0000000 -6001 0.0000000 3.1039361 65.3341503 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490.6700107 516.3187170 397.4880170 211.3789354 62.7607165 2.1557085 0.0000000 -5986 0.0000000 3.5990619 61.3821346 184.8039646 346.6071706 486.0511518 512.5301607 400.7911862 218.7210845 68.4782788 2.9092066 0.0000000 -5985 0.0000000 3.3148175 61.4291973 186.3654658 347.7192288 483.7805666 508.7604342 401.2474999 223.2580624 73.1473451 3.6900370 0.0000000 -5984 0.0000000 3.0291990 61.4855283 188.6252585 350.6813499 483.5970395 505.4392210 399.5184872 225.1497393 76.4473781 4.4516304 0.0000000 -5983 0.0000000 2.7812730 61.5395805 191.3954974 355.2106437 485.3899506 502.8589785 396.0666081 224.5076491 78.0985718 5.0268703 0.0000000 -5982 0.0000000 2.5694795 61.5870407 194.3384048 360.6935994 488.7379359 501.2119892 391.6044398 221.8349891 78.0959434 5.3130335 0.0000000 -5981 0.0000000 2.3959232 61.6427248 197.2787830 366.6752041 493.0861970 500.2488553 386.5009064 217.7396865 76.8066149 5.3343885 0.0000000 -5980 0.0000000 2.2775374 61.7095505 199.9072443 372.5025612 497.9296576 499.9740692 381.3036297 212.8061836 74.5186625 5.1097284 0.0000000 -5979 0.0000000 2.2189001 61.7924702 202.0510100 377.7255826 502.8081889 500.2242400 376.3547074 207.5245604 71.6078411 4.7128254 0.0000000 -5978 0.0000000 2.2170278 61.8926388 203.5853269 381.9014767 507.1573966 500.7288124 371.9268189 202.4517937 68.5489412 4.2505759 0.0000000 -5977 0.0000000 2.2667412 62.0044382 204.4275288 384.7321627 510.6180662 501.3629539 368.2182217 197.9421702 65.6318164 3.7889574 0.0000000 -5976 0.0000000 2.3595584 62.1217619 204.5752839 386.0984548 512.9812939 502.0253987 365.3609453 194.1978538 63.0396477 3.3718948 0.0000000 -5975 0.0000000 2.4789214 62.2475632 204.1600818 386.0298270 513.9563366 502.3715920 363.3823899 191.4757027 61.0668383 3.0622993 0.0000000 -5974 0.0000000 2.6179276 62.3790786 203.2920294 384.7376651 513.6799559 502.3965468 362.1622677 189.6781207 59.6639574 2.8472901 0.0000000 -5973 0.0000000 2.7660177 62.5207342 202.1488641 382.5304949 512.2827058 501.9663659 361.4861693 188.7085700 58.8338186 2.7266914 0.0000000 -5972 0.0000000 2.9157997 62.6812865 200.9452524 379.7982485 509.9501566 500.9097780 361.0626455 188.4284052 58.5764136 2.7014579 0.0000000 -5971 0.0000000 3.0739950 62.8575266 199.7883163 376.9116006 507.1305311 499.4023577 360.6603781 188.4955623 58.6580633 2.7357967 0.0000000 -5970 0.0000000 3.2278525 63.0482258 198.7775320 374.1681704 504.1507315 497.5411794 360.0874186 188.6670559 58.9318651 2.8129087 0.0000000 -5969 0.0000000 3.3675496 63.2532889 198.0312246 371.8809973 501.3481152 495.4040018 359.1232403 188.6877149 59.2562091 2.9173730 0.0000000 -5968 0.0000000 3.5009585 63.4549017 197.4333200 369.9790627 498.9252204 493.3516933 357.9343196 188.4518850 59.4425881 3.0075307 0.0000000 -5967 0.0000000 3.6267996 63.6466464 197.0103874 368.6109253 497.1297008 491.5431500 356.4538571 187.7828541 59.3479621 3.0564980 0.0000000 -5966 0.0000000 3.7508942 63.8153780 196.6039530 367.4508283 495.7358077 490.0936692 355.0380980 186.9476839 59.0644967 3.0659463 0.0000000 -5965 0.0000000 3.8783694 63.9489843 196.1415831 366.4369432 494.8272682 489.1971182 353.8037807 185.9185834 58.5076110 3.0138793 0.0000000 -5964 0.0000000 4.0169901 64.0329472 195.4236845 365.1157205 494.0229049 488.9242654 353.2161324 185.0914262 57.8524895 2.9173622 0.0000000 -5963 0.0000000 4.1567738 64.0736748 194.4997626 363.4493503 493.0981512 489.0560420 353.3037219 184.6767979 57.2975890 2.8150366 0.0000000 -5962 0.0000000 4.3064312 64.0571310 193.1791866 361.0110085 491.6963242 489.6751804 354.5029800 185.0369373 56.9828940 2.7172256 0.0000000 -5961 0.0000000 4.4500527 64.0011547 191.6015723 357.8982703 489.6034112 490.4130175 356.7137355 186.3612546 57.1379386 2.6682372 0.0000000 -5960 0.0000000 4.5825094 63.9190012 189.8244839 354.0870962 486.5737713 490.9857355 359.9560276 188.8874262 57.9753040 2.7009645 0.0000000 -5959 0.0000000 4.6924341 63.8284676 187.9994419 349.8208914 482.6583988 491.1378818 363.9954538 192.5909361 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0.0000000 2.3366215 63.3404566 216.3254103 413.9276571 535.7599871 494.7964523 332.1619282 165.1262432 49.0374917 1.9837957 0.0000000 -5943 0.0000000 2.4776039 62.9999663 215.1197812 416.9088396 545.2275130 502.9329591 331.4539443 159.1339742 43.5736654 1.1472289 0.0000000 -5942 0.0000000 2.6622030 62.5271200 212.0972402 415.7863140 551.9108039 512.2802319 334.0470160 155.5575372 39.2885652 0.6459184 0.0000000 -5941 0.0000000 2.8929346 61.9350964 207.4254713 410.3066920 554.8691274 522.4598551 340.5356306 154.9809134 36.4060350 0.3451760 0.0000000 -5940 0.0000000 3.1605415 61.2875725 201.6454391 400.9146591 553.2579582 532.3239320 350.9693789 157.9625443 35.2158349 0.2307538 0.0000000 -5939 0.0000000 3.4331915 60.6673696 195.3195974 388.4044766 546.6214986 540.4530815 364.9481628 164.9531940 35.9787834 0.1919017 0.0000000 -5938 0.0000000 3.6881126 60.1661876 189.1015881 374.1798472 535.3987792 545.3453506 381.2431390 175.9023527 38.8867330 0.2204368 0.0000000 -5937 0.0000000 3.8951409 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446.9323840 383.5871814 253.4543641 117.2615198 19.3305345 0.0000000 -5908 0.0000000 2.7736562 64.6618457 193.1287940 334.1309779 434.5387039 446.0961513 371.9000320 242.1603896 113.1932395 20.0623150 0.0000000 -5907 0.0000000 2.1263664 64.4550883 202.6590382 353.6173408 450.5756175 447.9098495 359.7720090 227.9451540 104.9068619 18.5527295 0.0000000 -5906 0.0000000 1.6790649 64.2929249 212.2021927 375.0096439 469.4560607 451.6858803 347.4895937 212.0083675 93.7821974 15.3257422 0.0000000 -5905 0.0000000 1.4562610 64.2415511 220.9807672 396.8403040 490.0544847 456.8145103 335.3416195 195.3685939 81.2197625 11.3027678 0.0000000 -5904 0.0000000 1.3848963 64.2777999 228.1957204 417.4803678 511.2964539 462.9685194 323.7708634 178.9474792 68.4368436 7.4463360 0.0000000 -5903 0.0000000 1.4302739 64.2969784 232.8339939 434.9096968 532.0346503 470.4525682 313.9992688 163.8090144 56.4280650 4.2879042 0.0000000 -5902 0.0000000 1.5932304 64.1745817 234.3188782 447.3879177 551.2116329 479.6570840 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