# 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 : 76 # 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 0.9673152 48.2374861 185.2338901 394.6720379 555.6085798 540.8394579 351.3396345 142.6754861 22.6076716 0.0000000 0.0000000 -6011 0.0000000 1.1706002 48.0884544 177.7051344 375.7295851 539.6807043 543.7155762 368.4743513 154.0735924 25.3777659 0.0000000 0.0000000 -6010 0.0000000 1.3847920 48.1259955 171.3630041 357.3781451 520.0917698 541.0472024 385.5459144 169.3369795 30.5581079 0.0000000 0.0000000 -6009 0.0000000 1.5617073 48.3708210 166.6714324 341.5025195 499.5282381 533.0774090 399.6131610 186.5612569 38.1433755 -0.0026267 0.0000000 -6008 0.0000000 1.6638944 48.7959037 163.8605149 329.2421827 480.2679735 521.0547860 408.4638236 203.5171668 47.8216345 0.2652210 0.0000000 -6007 0.0000000 1.6677874 49.3319214 162.9493233 321.0809032 463.9920219 506.8724433 411.2615705 217.9373334 58.7349447 0.8381910 0.0000000 -6006 0.0000000 1.5729686 49.8761782 163.7953694 317.2321441 452.1043008 492.8722715 408.4625363 227.6466697 69.1120268 1.9639599 0.0000000 -6005 0.0000000 1.3973407 50.3518866 166.2234564 317.4983537 444.8989498 480.3931846 401.4643907 231.9722944 77.5159047 3.5715205 0.0000000 -6004 0.0000000 1.2026889 50.7086643 169.9846219 321.5713955 442.4480489 470.4222761 391.6952784 230.9150187 82.6388792 5.1699733 0.0000000 -6003 0.0000000 1.0092638 50.9444373 174.7419369 328.8934067 444.3545255 463.3207891 380.4924076 225.3265862 83.9705955 6.3346504 0.0000000 -6002 0.0000000 0.8323322 51.0979136 180.1998816 338.9454916 450.0902350 458.9607331 368.5702615 216.2578611 81.7070990 6.7367848 0.0000000 -6001 0.0000000 0.6972337 51.2220549 185.8618301 350.7267328 458.6554403 456.9416673 356.7306381 205.1483830 76.7346160 6.3311101 0.0000000 -6000 0.0000000 0.6162964 51.3532810 191.2718649 363.4228459 469.5186579 457.1225320 345.2549481 192.8034077 69.7236350 5.2489595 0.0000000 -5999 0.0000000 0.5852550 51.4927541 195.8922965 375.8000079 481.5739107 459.0841528 334.8509223 180.4315607 61.8447583 3.8996496 0.0000000 -5998 0.0000000 0.5985065 51.6068457 199.2325331 386.7527563 494.0105149 462.7576243 326.1400531 168.8330239 53.8817699 2.5731256 0.0000000 -5997 0.0000000 0.6511317 51.6405682 200.8882563 395.2157456 506.0269767 468.2173285 319.8156973 158.7128768 46.4526746 1.4909574 0.0000000 -5996 0.0000000 0.7341662 51.5433824 200.6835741 400.2978727 516.6482585 475.3823342 316.6097732 150.7910169 40.1128730 0.7495611 0.0000000 -5995 0.0000000 0.8363644 51.2898407 198.6591001 401.4433164 524.9414762 484.0889594 317.1588351 145.6447447 35.1874893 0.3228774 0.0000000 -5994 0.0000000 0.9456309 50.8916026 195.1380885 398.7539139 530.3118080 493.9518312 321.6441542 143.5039776 31.7325129 0.1451652 0.0000000 -5993 0.0000000 1.0470009 50.3982281 190.6622106 392.7136628 532.0472699 503.9633327 330.0142800 144.7435412 29.9225697 0.0232731 0.0000000 -5992 0.0000000 1.1305052 49.8779427 185.8315259 384.3157933 530.0889734 513.0132809 341.6144267 149.3401465 29.7434742 -0.0020140 0.0000000 -5991 0.0000000 1.1908615 49.3983032 181.2501679 374.9259138 525.0982343 520.0693211 355.1627404 156.8092921 31.0755007 -0.0017695 0.0000000 -5990 0.0000000 1.2203468 49.0124496 177.3820735 365.6701097 517.7812806 524.2312386 369.2150838 166.7207118 33.9806792 -0.0024273 0.0000000 -5989 0.0000000 1.2088885 48.7405524 174.5813600 357.7877786 509.6505384 525.4435368 381.9183978 177.8021551 38.1641535 0.0500350 0.0000000 -5988 0.0000000 1.1630548 48.5707488 172.9076246 351.8003922 501.7750748 524.1950333 392.3148157 188.9794885 43.3223236 0.1967784 0.0000000 -5987 0.0000000 1.0831444 48.4801875 172.4818737 348.3174549 495.2813749 521.1711303 399.3673845 198.9027913 48.9286093 0.3766669 0.0000000 -5986 0.0000000 0.9768410 48.4291351 173.0845312 347.1518454 490.6191075 517.3469687 403.2411673 206.7996334 54.3787258 0.6503416 0.0000000 -5985 0.0000000 0.8527332 48.3878204 174.6324682 348.3866015 488.3271831 513.5418139 403.9593815 211.8389216 58.9141481 1.0296145 0.0000000 -5984 0.0000000 0.7251839 48.3419073 176.8518140 351.5029009 488.1419312 510.1893877 402.3645056 214.1275919 62.1902598 1.3998524 0.0000000 -5983 0.0000000 0.6076931 48.2901593 179.5614496 356.2048363 489.9516923 507.5848958 398.9395499 213.7356507 63.9042399 1.6944336 0.0000000 -5982 0.0000000 0.5147463 48.2415086 182.4349897 361.8576749 493.3311423 505.9224280 394.4002215 211.1537195 64.0194617 1.8678015 0.0000000 -5981 0.0000000 0.4495707 48.2132792 185.3032023 367.9889672 497.7202687 504.9502424 389.1498691 207.0223352 62.8790797 1.8872744 0.0000000 -5980 0.0000000 0.4162522 48.2160201 187.8653697 373.9484629 502.6092487 504.6728739 383.7555676 201.9505046 60.7528627 1.7570783 0.0000000 -5979 0.0000000 0.4014910 48.2557098 189.9523847 379.2810444 507.5336288 504.9253957 378.5183023 196.4630216 58.0063905 1.5313840 0.0000000 -5978 0.0000000 0.3997861 48.3314544 191.4411058 383.5331906 511.9237109 505.4347101 373.7321948 191.1580537 55.1028511 1.2974723 0.0000000 -5977 0.0000000 0.4100778 48.4364979 192.2495889 386.3980369 515.4169041 506.0748114 369.6935156 186.4125434 52.3237698 1.0769235 0.0000000 -5976 0.0000000 0.4331531 48.5625444 192.3748473 387.7536023 517.8023417 506.7434819 366.5722758 182.4423124 49.8463530 0.8811254 0.0000000 -5975 0.0000000 0.4736853 48.7047321 191.9451163 387.6356645 518.7865479 507.0929287 364.3561647 179.5293797 47.9539692 0.7373987 0.0000000 -5974 0.0000000 0.5283514 48.8579928 191.0690107 386.2646423 518.5075697 507.1181181 362.9399807 177.5728702 46.5976827 0.6380710 0.0000000 -5973 0.0000000 0.5922850 49.0215137 189.9213005 383.9602810 517.0971881 506.6838943 362.1170877 176.4800255 45.7810160 0.5814398 0.0000000 -5972 0.0000000 0.6588041 49.1974452 188.7127428 381.1242848 514.7427175 505.6173765 361.5955533 176.1178899 45.5068823 0.5669613 0.0000000 -5971 0.0000000 0.7255973 49.3827826 187.5491753 378.1279875 511.8965928 504.0957893 361.1218400 176.1296268 45.5553695 0.5783039 0.0000000 -5970 0.0000000 0.7896877 49.5753324 186.5284404 375.2702624 508.8887889 502.2171195 360.4878179 176.2645539 45.7900107 0.6076765 0.0000000 -5969 0.0000000 0.8470758 49.7731401 185.7664646 372.8786988 506.0598332 500.0598565 359.4557726 176.2612324 46.0803544 0.6486128 0.0000000 -5968 0.0000000 0.9016918 49.9656181 185.1508140 370.8806989 503.6141678 497.9882602 358.1815579 175.9965391 46.2441997 0.6833938 0.0000000 -5967 0.0000000 0.9531596 50.1478125 184.7078482 369.4296731 501.8017738 496.1627200 356.5922101 175.2845240 46.1465139 0.7004615 0.0000000 -5966 0.0000000 1.0042829 50.3115452 184.2837699 368.1924102 500.3947807 494.6996169 355.0641707 174.3946403 45.8698386 0.7006335 0.0000000 -5965 0.0000000 1.0575125 50.4490857 183.8086123 367.1049955 499.4777027 493.7946400 353.7086607 173.2907195 45.3320365 0.6747244 0.0000000 -5964 0.0000000 1.1164359 50.5512888 183.0886568 365.7026439 498.6657799 493.5192229 353.0065438 172.3750319 44.6935470 0.6307001 0.0000000 -5963 0.0000000 1.1766543 50.6201089 182.1723882 363.9495067 497.7323353 493.6522380 353.0102815 171.8744075 44.1438025 0.5854291 0.0000000 -5962 0.0000000 1.2455169 50.6470286 180.8750382 361.4073744 496.3173338 494.2771951 354.1854918 172.1540427 43.8085603 0.5432219 0.0000000 -5961 0.0000000 1.3210789 50.6415668 179.3328741 358.1805620 494.2047514 495.0219665 356.4512104 173.4249721 43.9073493 0.5218152 0.0000000 -5960 0.0000000 1.3934068 50.6121427 177.6024437 354.2531164 491.1466387 495.6000669 359.8422902 175.9432432 44.6413429 0.5340193 0.0000000 -5959 0.0000000 1.4533474 50.5700967 175.8314306 349.8808912 487.1944691 495.7536431 364.1136194 179.6986079 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451.1326978 387.1128081 245.8543895 102.6226723 11.2153391 0.0000000 -5908 0.0000000 0.5545131 50.5845823 180.8455585 334.3636881 438.6225406 450.2886061 375.2318412 234.3941383 99.0353737 11.7601757 0.0000000 -5907 0.0000000 0.3689237 50.1426683 190.1169913 354.4584929 454.8101707 452.1193496 362.7865243 219.5711334 91.1586934 10.6596729 0.0000000 -5906 0.0000000 0.2490339 49.8279308 199.4571056 376.4245403 473.8680541 455.9308678 349.8691633 202.8652779 80.3895634 8.3665177 0.0000000 -5905 0.0000000 0.1663641 49.7056950 208.1087860 398.8496142 494.6600641 461.1076972 336.7918843 185.3889849 68.1817358 5.5417218 0.0000000 -5904 0.0000000 0.1407087 49.7474240 215.2756115 420.0230926 516.1016674 467.3195423 324.0634921 168.1492715 55.8072757 3.0779102 0.0000000 -5903 0.0000000 0.1660209 49.8519079 219.9376960 437.7728921 537.0347634 474.8739269 313.0287049 152.2594345 44.2900905 1.3043871 0.0000000 -5902 0.0000000 0.2299854 49.8908036 221.4969008 450.4420739 556.3919731 484.1649477 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