# 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 : 70 # 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 -0.0007585 15.4378947 87.8859370 222.0037706 395.4975455 538.0846976 523.9013405 363.7794023 185.1199379 58.2141194 4.6425056 0.0000000 -6011 0.0202427 16.4961131 87.1094216 213.9120136 378.3032322 522.6591869 526.5756309 378.2321352 196.8819135 62.5637444 5.0712282 0.0000000 -6010 0.0631032 17.4223934 86.7248216 207.0421541 361.6315075 503.6877213 523.9824797 391.8858963 211.8416298 69.8981097 6.1940590 0.0000000 -6009 0.0903888 18.1617311 86.7892468 201.9233332 347.1334738 483.7891448 516.2641595 402.3228136 227.9770776 79.7656307 8.1735055 0.0000000 -6008 0.0987844 18.6440344 87.3001184 198.8434030 335.8499137 465.2058290 504.6207297 407.9193315 243.0765816 91.4379429 11.1735312 0.0000000 -6007 0.0879571 18.8077272 88.1885971 197.8615442 328.2819856 449.4889016 490.8856978 408.1391821 255.0937575 103.7113358 15.2991887 0.0000000 -6006 0.0578052 18.6357694 89.3092481 198.8521494 324.6756855 438.0073766 477.3270910 403.7561235 262.3319310 114.6309966 20.2079006 -0.0007431 -6005 0.0180090 18.1377982 90.5410739 201.6341027 324.8703031 431.0412222 465.2415943 396.0203974 264.5108405 122.8458970 25.2989358 0.1071661 -6004 -0.0009891 17.3983531 91.7560514 205.9256983 328.6006789 428.6511848 455.5851680 386.3250668 261.9806897 127.2719128 29.6354391 0.3050310 -6003 -0.0002714 16.5560940 92.8583029 211.3283675 335.3508365 430.4637725 448.7076618 375.9139151 255.7324987 127.6712532 32.4195461 0.5860211 -6002 0.0000000 15.7436826 93.8081246 217.4813183 344.6253201 435.9844374 444.4851219 365.4644052 246.7618240 124.4289022 33.2565209 0.8166601 -6001 0.0000000 15.0862723 94.5819155 223.8045746 355.4755815 444.2382271 442.5297374 355.6048525 236.3108043 118.5423336 32.2724749 0.9109704 -6000 0.0000000 14.6649014 95.1551808 229.7767676 367.1865436 454.7183407 442.7063019 346.7064053 225.0483777 110.6959116 29.7103254 0.8108277 -5999 0.0000000 14.4921663 95.5066473 234.8100215 378.6263300 466.3845339 444.6809772 339.1307237 213.9589031 102.0406071 26.2472760 0.5883631 -5998 0.0000000 14.5563526 95.5921720 238.3864507 388.7819781 478.4293766 448.3417440 333.2703567 203.7168314 93.3360063 22.4074519 0.3549560 -5997 -0.0000386 14.8204002 95.3634412 240.0930104 396.6717702 490.0668972 453.7861554 329.5966449 194.9435834 85.1969641 18.6203103 0.1562843 -5996 -0.0003482 15.2149635 94.8086533 239.7669597 401.4626787 500.3531840 460.8644513 328.5537819 188.2840923 78.2140866 15.2539468 0.0511929 -5995 -0.0008366 15.6719728 93.9512783 237.4696611 402.6216462 508.3848338 469.3659691 330.5382799 184.2801610 72.7858214 12.5014810 -0.0004768 -5994 0.0075040 16.1327096 92.8592506 233.5539796 400.2190984 513.5857855 478.8911270 335.6269694 183.1537226 69.0386080 10.3961112 0.0000000 -5993 0.0239692 16.5296283 91.6600653 228.5995100 394.6710807 515.2665109 488.4642727 343.6187005 185.2141811 67.2528468 9.0102064 0.0000000 -5992 0.0366941 16.8244686 90.4846773 223.2452528 386.8760904 513.3699790 497.0589226 353.8714713 190.3762995 67.4744947 8.2274362 0.0000000 -5991 0.0403799 16.9924288 89.4527427 218.1405014 378.0869554 508.5366369 503.7724117 365.2432227 198.0848451 69.5598196 7.9881164 0.0000000 -5990 0.0321119 17.0058883 88.6639570 213.7906414 369.3352126 501.4502846 507.6968195 376.5221721 207.8005843 73.5193886 8.3063471 0.0000000 -5989 0.0146264 16.8527860 88.1589825 210.5917369 361.7767417 493.5757958 508.8710594 386.3071214 218.2349882 78.8671677 9.1035403 0.0000000 -5988 -0.0011318 16.5389456 87.9199110 208.6219600 355.9136704 485.9486231 507.6619336 393.8922234 228.3597302 85.1287955 10.3485840 0.0000000 -5987 -0.0004510 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0.0001520 18.2133068 92.2717266 200.4807281 313.1270767 406.5301921 441.2819110 390.2846339 279.4948805 145.8920464 38.3113199 0.7716029 -5909 0.0000000 16.0303701 93.2339631 208.6211932 324.4475368 413.1571462 436.9039826 379.3602895 271.7542103 146.3655466 42.2638608 1.3392155 -5908 0.0000000 14.0150117 93.8991568 218.0414501 339.5515640 424.8580385 436.0865135 368.4684351 260.3620817 141.3260259 42.9060785 1.6711152 -5907 0.0000000 12.3066628 94.3398323 228.1886042 357.5994154 440.4647823 437.8595154 357.7364393 246.6415663 132.2492331 40.4979430 1.6453805 -5906 0.0000000 11.0903094 94.6262263 238.2538036 377.4538853 458.9222663 441.5508185 347.4075675 231.6175489 120.4955752 35.7183325 1.2827900 -5905 0.0000000 10.3629137 94.8019449 247.4112222 397.8479636 479.0584968 446.5642639 337.6368195 216.1242276 107.3826500 29.5938429 0.7314224 -5904 0.0000000 10.0620018 94.8452701 254.8430972 417.2257422 499.8238324 452.6162586 328.7800802 200.9303722 94.0412106 23.1236308 0.2900859 -5903 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395.9065723 242.2073608 98.9540691 14.9569348 0.0000000 -2015 0.0000000 15.5374508 89.3369513 210.4154054 349.3014555 466.0012256 487.9665197 393.0784277 245.1888646 104.0741797 17.4171199 0.0000000 -2014 0.0000000 15.2936739 90.0265357 212.3172356 350.0275050 462.5115915 481.2491702 388.4447446 245.5593837 107.5647224 19.6868555 -0.0007970 -2013 0.0000000 14.9949324 90.7383735 215.0295585 352.7282899 461.4294844 475.4439264 382.4288455 243.4483171 109.1647797 21.4927162 0.0225545 -2012 0.0000000 14.7192616 91.4147008 218.2247140 357.0091221 462.6297694 470.9449267 375.7028552 239.2139481 108.6999890 22.5217031 0.0813081 -2011 0.0000000 14.5242508 92.0234901 221.5409527 362.2405818 465.5430205 467.7278938 368.8560550 233.5908448 106.5485053 22.7387348 0.1173571 -2010 0.0000000 14.4497841 92.5417647 224.7345982 368.0794201 469.9484526 465.8313324 362.2284453 226.9326401 102.9175060 22.1311288 0.1274094 -2009 0.0000000 14.5268358 92.9385644 227.3777607 373.6734346 475.0385211 465.1102272 356.3954430 220.0947019 98.4914324 20.9357496 0.1170659 -2008 0.0000000 14.7688704 93.1811507 229.1548394 378.4111583 480.3155845 465.5901490 351.7287049 213.5938627 93.7023194 19.3416298 0.0909661 -2007 -0.0000622 15.1506030 93.2582519 229.9004598 381.7684706 485.1619682 467.1054008 348.4926746 207.9681308 89.0842572 17.6252156 0.0549642 -2006 -0.0004649 15.6431041 93.1569608 229.4821360 383.2585275 488.9856011 469.4953969 347.0058044 203.7206350 85.0667611 15.9918656 0.0186326 -2005 -0.0002207 16.2048286 92.8858262 227.9070555 382.5811176 491.2270346 472.5446442 347.4845218 201.2845667 82.0196086 14.6067644 -0.0008618 -2004 0.0203041 16.7729596 92.4960410 225.4708335 379.9529932 491.6324176 475.8229173 349.7522538 200.7862529 80.1532289 13.5771332 -0.0004161 -2003 0.0489222 17.2973430 92.0462993 222.4770700 375.6731763 490.0302614 478.8432320 353.5738143 202.3153883 79.6378640 12.9689678 -0.0001251 -2002 0.0727539 17.7403468 91.5963145 219.2443920 370.1973612 486.5054924 481.1689814 358.5618379 205.7856427 80.5320349 12.8044493 -0.0000194 -2001 0.0852254 18.0426897 91.2364877 216.3469630 364.5681458 481.7620667 482.2916989 363.7258993 210.5385792 82.6517723 13.0800299 -0.0000082 -2000 0.0876315 18.1879437 90.9964554 213.9967025 359.2867709 476.3113831 482.1209126 368.5475322 216.1276631 85.8273038 13.7728798 -0.0000589 -1999 0.0793816 18.1544111 90.8980575 212.4710978 355.0721943 471.0376219 480.8184012 372.3331951 221.7184418 89.6225661 14.8063410 -0.0002413 -1998 0.0591193 17.9284322 90.9403509 211.9671466 352.5159792 466.8025379 478.7557740 374.5739437 226.4569611 93.4896700 16.0620229 -0.0006127 -1997 0.0291760 17.5332336 91.0794328 212.4344541 351.7773498 464.1494151 476.4807626 375.2783897 229.8136507 96.8862506 17.3564022 -0.0008163 -1996 0.0037339 17.0060347 91.2656743 213.7469542 352.8294722 463.3659478 474.5002551 374.6673596 231.5294219 99.3772646 18.4918880 0.0110155 -1995 -0.0006822 16.3866128 91.4615920 215.8569175 355.8104832 464.8599340 473.2618379 372.8310740 231.2495113 100.4518889 19.2188967 0.0245607 -1994 -0.0001696 15.7534725 91.6096885 218.3519872 360.0602910 468.1736736 473.0045813 370.4613447 229.5108236 100.2043340 19.4387244 0.0296590 -1993 0.0000000 15.1606970 91.6820586 221.0199955 365.3216587 473.2135126 473.8997422 367.8327218 226.4664137 98.5855522 19.0542496 0.0210797 -1992 0.0000000 14.6546317 91.6588989 223.5532157 371.0324916 479.4617139 475.9126204 365.3463005 222.6157796 95.9010091 18.1344098 0.0038909 -1991 0.0000000 14.2727471 91.5187289 225.5774438 376.4445304 486.2310266 478.9835441 363.5025327 218.6006290 92.5932713 16.8277110 -0.0007324 -1990 0.0000000 14.0219984 91.2570058 226.8612466 380.9979302 492.9389984 482.9823842 362.6175087 214.9079735 89.0639455 15.3127174 -0.0000718 -1989 0.0000000 13.8898562 90.8847865 227.2886979 384.2504422 498.9941340 487.6675354 362.8995408 211.9743351 85.7178204 13.7862075 0.0000000 -1988 0.0000000 13.8601236 90.4139800 226.7419702 385.6559999 503.6310202 492.7419249 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394.5072414 237.1472447 95.2491225 13.5779106 0.0000000 -1980 0.0000000 13.5450857 88.4890153 215.6672624 362.6644083 483.7600214 499.5706726 394.4260017 240.6806830 99.3691118 15.1614060 0.0000000 -1979 0.0000000 13.1876107 88.8548669 217.1666831 363.3645634 481.4112046 495.3123202 392.3406176 242.2319267 102.6067169 16.7553957 0.0000000 -1978 0.0000000 12.7870246 89.2947703 219.5098604 365.8931620 480.9117447 491.2091719 388.4437691 241.5171419 104.4452979 18.1449739 0.0000000 -1977 0.0000000 12.3937375 89.7723770 222.5531057 370.2094525 482.4893209 487.6981509 383.0450084 238.4366402 104.4604982 19.0242785 -0.0002089 -1976 0.0000000 12.0843136 90.2491169 225.9017888 375.6766414 485.6956613 484.9550377 376.8537861 233.5850813 102.8058349 19.2718484 -0.0006056 -1975 0.0000000 11.9049165 90.7050766 229.3297103 382.0366858 490.4624575 483.1322548 370.1770577 227.1679163 99.4931565 18.7850542 -0.0007550 -1974 0.0000000 11.9000582 91.1109935 232.4160487 388.5492979 496.2098244 482.2331924 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