# 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 : 72 # 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 8.2940851 74.4481621 209.6498056 393.4249409 544.5918662 530.1155893 357.6448027 171.0435329 45.4439502 1.4153464 0.0000000 -6011 0.0000000 9.0370499 73.9009401 201.7698624 375.5521854 528.9798116 532.9346794 372.9132163 182.6669280 49.3292421 1.6344646 0.0000000 -6010 0.0000000 9.6948122 73.6724968 195.0945828 358.2546326 509.7792903 530.3192145 387.7726430 197.6915208 56.0787384 2.2273703 0.0000000 -6009 0.0000000 10.2279884 73.8075975 190.1311019 343.2375252 489.6234963 522.5074478 399.4964978 214.1276845 65.3467223 3.3612734 0.0000000 -6008 0.0000000 10.5558024 74.2948857 187.1484727 331.6005486 470.7451279 510.7232116 406.2528686 229.7563709 76.5181833 5.2355989 0.0000000 -6007 0.0000000 10.6260148 75.0646698 186.1933015 323.8388372 454.7918990 496.8220792 407.4262020 242.4652769 88.4833379 8.0652643 0.0000000 -6006 0.0000000 10.4369821 75.9855425 187.1352164 320.1486949 443.1398899 483.0995054 403.6699401 250.4206050 99.3323958 11.5770429 0.0000000 -6005 0.0000000 10.0277196 76.9510503 189.7956090 320.3529790 436.0774080 470.8678562 396.2197687 253.2346148 107.6857231 15.4669104 0.0000000 -6004 0.0000000 9.4543878 77.8599653 193.9040495 324.1751677 433.6751041 461.0946529 386.4955885 251.1635605 112.3887547 18.9652100 0.0000000 -6003 0.0000000 8.8165903 78.6499119 199.0827791 331.0834900 435.5437787 454.1339755 375.7475545 245.1578074 113.1200219 21.3636184 -0.0000662 -6002 0.0000000 8.2169043 79.3102216 204.9928194 340.5883355 441.1657594 449.8603716 364.6857623 236.2196194 110.2072314 22.1783076 -0.0010759 -6001 0.0000000 7.7488724 79.8466366 211.0826114 351.7446460 449.5611322 447.8813402 354.0586397 225.6343609 104.6138715 21.4277472 -0.0014906 -6000 0.0000000 7.4554228 80.2585356 216.8534280 363.7949189 460.2089518 448.0586186 344.1662498 214.1018684 97.0182940 19.3093453 -0.0009067 -5999 0.0000000 7.3328803 80.5336928 221.7356462 375.5671899 472.0251707 449.9813441 335.5659939 202.6668238 88.5780763 16.4381772 -0.0000383 -5998 0.0000000 7.3732435 80.6315904 225.2223060 386.0187191 484.2151796 453.5819773 328.7681693 192.0398072 80.0601876 13.3227997 0.0000000 -5997 0.0000000 7.5571134 80.5003217 226.9051088 394.1408040 495.9933766 458.9334254 324.2410202 182.8682000 72.0811885 10.3939534 0.0000000 -5996 0.0000000 7.8493679 80.1124592 226.6180924 399.0610294 506.4040577 465.9563620 322.5451083 175.8221572 65.2244870 7.9052708 0.0000000 -5995 0.0000000 8.1982696 79.4726203 224.4159001 400.2328057 514.5328359 474.4903506 324.0965586 171.4577274 59.8713416 6.0093454 0.0000000 -5994 0.0000000 8.5584831 78.6280396 220.6404636 397.7390131 519.7966837 484.1576594 328.9825941 170.0029825 56.1326773 4.6671932 0.0000000 -5993 0.0000000 8.8774924 77.6784173 215.8567998 392.0186814 521.4977345 493.9706510 337.0515458 171.7909539 54.2681952 3.7765464 0.0000000 -5992 0.0000000 9.1247395 76.7330017 210.6888496 384.0199934 519.5782674 502.8411551 347.7180778 176.7577752 54.3159981 3.3312141 0.0000000 -5991 0.0000000 9.2799868 75.8936960 205.7690168 375.0355159 514.6864856 509.7572867 359.7846754 184.3709244 56.1464156 3.2175535 0.0000000 -5990 0.0000000 9.3216447 75.2442340 201.5877002 366.1264245 507.5146139 513.8366809 372.0028557 194.1243166 59.7905454 3.4314688 0.0000000 -5989 0.0000000 9.2404115 74.8182738 198.5263139 358.4753431 499.5450897 515.0249415 382.8705320 204.7336839 64.8144218 3.9459637 0.0000000 -5988 0.0000000 9.0406723 74.5999906 196.6569799 352.5892571 491.8257823 513.8011935 391.5114296 215.1557076 70.7871066 4.7502123 0.0000000 -5987 0.0000000 8.7170481 74.5666250 196.1177596 349.0603012 485.4608407 510.8372490 397.0543253 224.1231602 77.0511743 5.8619396 0.0000000 -5986 0.0000000 8.3043364 74.6512315 196.6822521 347.7310752 480.8910177 507.0889137 399.7692053 230.9983063 82.9427208 7.1725406 0.0000000 -5985 0.0000000 7.8356790 74.8040795 198.2658159 348.6970380 478.6445380 503.3592082 399.8220526 235.1071822 87.6726643 8.4552060 0.0000000 -5984 0.0000000 7.3749815 74.9829901 200.5769147 351.4794646 478.4629592 500.0732545 397.8603980 236.6527221 90.9444014 9.6024836 0.0000000 -5983 0.0000000 6.9300098 75.1646327 203.4204251 355.8090337 480.2368361 497.5204050 394.3547742 235.7792353 92.5003827 10.4652955 0.0000000 -5982 0.0000000 6.5374040 75.3287729 206.4459831 361.0990450 483.5492777 495.8909009 389.9887279 233.0026094 92.3657183 10.8920290 0.0000000 -5981 0.0000000 6.2154833 75.4863488 209.4717478 366.8807280 487.8513757 494.9379920 385.0998253 228.9069783 90.9271351 10.9226124 0.0000000 -5980 0.0000000 6.0041364 75.6303035 212.1782849 372.5305690 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496.6372688 362.5305529 201.0889163 72.2831278 6.9106565 0.0000000 -5972 0.0000000 7.2482003 76.5431423 213.3956126 380.0695284 504.5363000 495.5918981 362.2275568 200.8841314 72.0497172 6.8844300 0.0000000 -5971 0.0000000 7.5223362 76.7002000 212.2369429 377.3373297 501.7466089 494.1004812 361.9181887 201.0032345 72.1654752 6.9601438 0.0000000 -5970 0.0000000 7.7930780 76.8802771 211.2285089 374.7352648 498.7984442 492.2590620 361.4274671 201.2092773 72.4751084 7.1070719 0.0000000 -5969 0.0000000 8.0405891 77.0854833 210.4915639 372.5812105 496.0255817 490.1445737 360.5528488 201.2517767 72.8277246 7.3014360 0.0000000 -5968 0.0000000 8.2767669 77.2898480 209.9059354 370.8022445 493.6284094 488.1140533 359.4716255 201.0412095 73.0326025 7.4711039 0.0000000 -5967 0.0000000 8.4991065 77.4853985 209.4985336 369.5410942 491.8519518 486.3247103 358.1315829 200.4088523 72.9409912 7.5712916 0.0000000 -5966 0.0000000 8.7166791 77.6534570 209.1055918 368.4801447 490.4728569 484.8906179 356.8676175 199.6209078 72.6541770 7.6047775 0.0000000 -5965 0.0000000 8.9372351 77.7770812 208.6519599 367.5596347 489.5739629 484.0035851 355.8001591 198.6575394 72.0871968 7.5344941 0.0000000 -5964 0.0000000 9.1726793 77.8358314 207.9314264 366.3383377 488.7781391 483.7336290 355.3602459 197.9104670 71.4284805 7.3873089 0.0000000 -5963 0.0000000 9.4068238 77.8412475 206.9947507 364.7759760 487.8632030 483.8640066 355.5542710 197.5756734 70.8818568 7.2264642 0.0000000 -5962 0.0000000 9.6531715 77.7732003 205.6447697 362.4578621 486.4762584 484.4765720 356.7884785 198.0140944 70.6003451 7.0687411 0.0000000 -5961 0.0000000 9.8926477 77.6588693 204.0250361 359.4740228 484.4055647 485.2065759 358.9411318 199.3952113 70.8183037 6.9905166 0.0000000 -5960 0.0000000 10.1104342 77.5168224 202.1943922 355.7977022 481.4080888 485.7732136 362.0090999 201.9403631 71.7554647 7.0504178 0.0000000 -5959 0.0000000 10.2824348 77.3719210 200.3087763 351.6653373 477.5342836 485.9237447 365.7583909 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8.4559197 78.9104787 196.4815654 320.0509366 417.9724341 442.1875520 380.6709648 262.3331761 131.8585173 29.9258418 0.0748480 -5908 0.0000000 7.0956475 79.1620175 205.5760824 335.7287774 429.9254486 441.3601971 369.3310266 251.0253323 127.3050330 30.7238172 0.1723235 -5907 0.0000000 5.9357037 79.2582043 215.4045478 354.5243249 445.7921073 443.1546403 357.8556120 237.1126546 118.6184148 28.7758173 0.1695597 -5906 0.0000000 5.1668458 79.3037644 225.1966754 375.2038114 464.4721073 446.8905830 346.4853510 221.6933179 107.1670710 24.6917313 0.0771163 -5905 0.0000000 4.7222067 79.3562501 234.1516366 396.3410414 484.8518494 451.9647652 335.4629499 205.6833258 94.3072950 19.4660225 -0.0009373 -5904 0.0000000 4.5540582 79.3940920 241.4624835 416.4210985 505.8683045 458.0534407 325.2209815 189.9221052 81.2105646 14.1195980 0.0000000 -5903 0.0000000 4.6343714 79.3099126 246.1141820 433.4018881 526.3863349 465.4580355 316.8316730 175.4233138 68.8503487 9.4415778 0.0000000 -5902 0.0000000 4.9095370 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