# Howell Oct07 - Solar insolation calculations using the QNial programming language adaptation of: # Ivanka Charvatova, Jaroslav Strestik 2004 "Periodicities between 6 and 16 years # in surface air temperature in possible relation to solar inertial motion" # Journal of Atmospheric and Solar-Terrestrial Physics 66 (2004) pp219-227 # 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 # Jon.Giorgini@jpl.nasa.gov http://ssd.jpl.nasa.gov/ # Sun-barycenter movements effect on the Earth-sun distance # NASA JPL Ephemeris data by Horizons On-Line Ephemeris System # NOTES/WARNINGS: # 1. rEarthSun should be relatively accurate, based on NASA-JPL Ephemeris calcs via Horizon program. # 2. There is no guarantee that I have made the correct "simplifying assumptions" # in grafting te sun-earth distances from the NASA-JPL Ephemeris program onto # the longer-term Milankovic results of Laskar etal. # 3. The Sun-Earth angles for insolation have NOT been corrected for barycenter-sun displacements # 4. There is a 10-day "shift" in timing for the monthly averages, which # start at the begining of the months, instead of at the 10th of each month # in order to include the equinoxes and solistices as mid-points for monthky averages. # 5. There is also an aparent difference between averages in these # sun-barycenter results as compared to earlier long-term Milankovic results # done for each 1 ky time delta. The differences may exceed timing differences # related to the start day of each month. # Solar constant assumed : 1368.0000000 # Latitude of calculations : 19 # Solar insolation average for each month (W/m2, roughly the 21st to 20th of first/second month): kyCE, 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 -2999.0000000, 302.9243980, 333.9555600, 378.5685975, 417.3646031, 442.0859345, 455.0944848, 462.2407147, 461.9215318, 443.2631923, 400.0948311, 344.7204288, 304.7285394, -2998.0000000, 301.9020729, 333.5654201, 379.0228685, 418.7277836, 444.1399839, 457.3933994, 464.2478298, 463.1306903, 443.3793923, 399.2389103, 343.3458794, 303.2497948, -2997.0000000, 300.5186604, 332.4550060, 378.4794466, 419.0254536, 445.3410244, 459.2926593, 466.4366277, 465.0791144, 444.5817964, 399.4755529, 342.7900244, 302.2207020, -2996.0000000, 299.2133626, 331.0162384, 377.1788994, 418.2373904, 445.3645753, 460.2145764, 468.1020284, 467.1044169, 446.4196420, 400.6538805, 343.1697165, 301.9392226, -2995.0000000, 298.4096601, 329.7582372, 375.6248919, 416.7178101, 444.2835552, 459.8945014, 468.6829092, 468.4832733, 448.2078344, 402.3060937, 344.2975104, 302.4602760, -2994.0000000, 298.3631786, 329.1234164, 374.4006281, 415.0714724, 442.5611332, 458.5107204, 468.0001738, 468.7105629, 449.2678488, 403.7967895, 345.7335737, 303.5712710, -2993.0000000, 299.0737620, 329.3350153, 373.9606538, 413.9287393, 440.8734146, 456.6186294, 466.3358671, 467.7050357, 449.1881005, 404.5509676, 346.9328943, 304.8577974, -2992.0000000, 300.2798195, 330.3147440, 374.4613575, 413.6982234, 439.8262579, 454.9000146, 464.2897249, 465.8244172, 447.9883174, 404.2934901, 347.4767087, 305.8889277, -2991.0000000, 301.5955830, 331.7667629, 375.7701668, 414.4785845, 439.7657187, 453.8973997, 462.4912207, 463.6292528, 445.9998846, 403.0549164, 347.1564812, 306.3287526, -2990.0000000, 302.6280032, 333.2909891, 377.5604907, 416.1137537, 440.7730440, 453.9383863, 461.4632513, 461.7242482, 443.7437711, 401.1286139, 346.0047134, 306.0074866, -2989.0000000, 303.0637692, 334.4727042, 379.3899818, 418.2440299, 442.6744374, 455.0933253, 461.5225451, 460.6127323, 441.7783099, 398.9648973, 344.2616875, 304.9503943, -2988.0000000, 302.7401917, 334.9788045, 380.8018683, 420.3907475, 445.0937829, 457.1879429, 462.7470031, 460.6162039, 440.5837868, 397.0546552, 342.2960419, 303.3499959, -2987.0000000, 301.6657020, 334.6187396, 381.4111429, 422.0446660, 447.5233760, 459.8469773, 464.9890725, 461.8554663, 440.5132459, 395.8657774, 340.5503730, 301.5384402, -2986.0000000, 300.0263385, 333.3864386, 380.9704206, 422.7297289, 449.3586218, 462.4858618, 467.8260132, 464.1703115, 441.6960676, 395.7464017, 339.4626628, 299.9422578, -2985.0000000, 298.1875054, 331.5262728, 379.5073079, 422.1873276, 450.0779699, 464.4374643, 470.6088635, 467.0911510, 443.9499788, 396.8034253, 339.3363980, 298.9609279, -2984.0000000, 296.5917459, 329.4720802, 377.3386747, 420.4829934, 449.4180085, 465.1402951, 472.6074089, 469.9079017, 446.7719715, 398.8382883, 340.2491322, 298.8655684, -2983.0000000, 295.6549596, 327.7555358, 375.0278579, 418.0562336, 447.5315620, 464.3722075, 473.2537906, 471.8534949, 449.4195686, 401.3284396, 341.9662459, 299.6724357, -2982.0000000, 295.6058482, 326.8147069, 373.1916786, 415.5882054, 444.9830249, 462.4031850, 472.4207618, 472.4263397, 451.1840041, 403.5955069, 344.0031809, 301.1234948, -2981.0000000, 296.3967449, 326.8273976, 372.2557749, 413.7146940, 442.4941829, 459.8605068, 470.4620041, 471.5951053, 451.6790972, 405.0766496, 345.8221583, 302.8063214, -2980.0000000, 297.7594492, 327.6982614, 372.3532775, 412.8261690, 440.6688897, 457.4403978, 467.9943529, 469.7186909, 450.9044522, 405.4692888, 346.9850950, 304.2810397, -2979.0000000, 299.3041763, 329.1273154, 373.3463480, 413.0203907, 439.8660941, 455.7173580, 465.6924002, 467.3990802, 449.2134228, 404.8066342, 347.2794957, 305.2101077, -2978.0000000, 300.6386784, 330.7129441, 374.8986963, 414.1218826, 440.1437275, 455.0011942, 464.0715572, 465.2392254, 447.1209234, 403.3692169, 346.7267589, 305.4232460, -2977.0000000, 301.4625956, 332.0646490, 376.5956997, 415.7920795, 441.3378457, 455.3640463, 463.4482094, 463.7401992, 445.1743437, 401.5828762, 345.5362155, 304.9203075, -2976.0000000, 301.6011887, 332.8544596, 378.0012898, 417.5799958, 443.0971306, 456.6498857, 463.9151428, 463.2387214, 443.8662065, 399.9404351, 344.0664391, 303.8781349, -2975.0000000, 301.0495602, 332.8872227, 378.7366414, 418.9873307, 444.9186224, 458.4749553, 465.3052281, 463.8334720, 443.5320969, 398.8965905, 342.7479649, 302.6186430, -2974.0000000, 299.9909763, 332.1709407, 378.5929764, 419.5968753, 446.2585351, 460.2965742, 467.2083431, 465.3514808, 444.2750042, 398.7687745, 341.9862368, 301.5337885, -2973.0000000, 298.7555584, 330.9215843, 377.5906130, 419.1735865, 446.6429196, 461.4979834, 469.0072755, 467.3283851, 445.8998900, 399.6476128, 342.0718274, 301.0123241, -2972.0000000, 297.7758536, 329.5674416, 376.0562264, 417.8200372, 445.8725190, 461.5900050, 470.0227651, 469.0610300, 447.8670029, 401.2759014, 343.0238470, 301.2747238, -2971.0000000, 297.4225427, 328.6010334, 374.5315608, 415.9915752, 444.1678076, 460.4630718, 469.8123447, 469.8774084, 449.4705679, 403.1151481, 344.5650861, 302.2865142, -2970.0000000, 297.8686064, 328.3977267, 373.5693934, 414.3230430, 442.0911342, 458.4466258, 468.3612508, 469.4029991, 450.0947208, 404.5222579, 346.2014875, 303.7582430, -2969.0000000, 299.0237998, 329.0825918, 373.5339268, 413.3895026, 440.3242503, 456.1728211, 466.0859994, 467.7116282, 449.4550959, 404.9901856, 347.3986516, 305.2472604, -2968.0000000, 300.5714836, 330.4995882, 374.4894833, 413.5121584, 439.4157847, 454.3190547, 463.6445665, 465.2693737, 447.6932579, 404.3372986, 347.7842211, 306.3279396, -2967.0000000, 302.0998513, 332.2990962, 376.2259421, 414.6993942, 439.6273363, 453.3712860, 461.6569427, 462.6822016, 445.2263766, 402.6863210, 347.2181705, 306.7007504, -2966.0000000, 303.2239745, 334.0633943, 378.3747000, 416.7339577, 440.9704702, 453.5939142, 460.6063124, 460.5533048, 442.6146980, 400.3932096, 345.7925604, 306.2369443, -2965.0000000, 303.6496739, 335.3737198, 380.4652761, 419.2070372, 443.2090528, 454.9923032, 460.7546626, 459.3562160, 440.4229105, 397.9468632, 343.7999725, 305.0101719, -2964.0000000, 303.2504542, 335.9155409, 382.0369544, 421.6132392, 445.9225823, 457.3380874, 462.1255567, 459.3706459, 439.1149713, 395.8520531, 341.6445365, 303.2564616, -2963.0000000, 302.0765511, 335.5298989, 382.7162894, 423.4288108, 448.5639006, 460.1979713, 464.5042289, 460.6532430, 438.9981864, 394.5608332, 339.7827131, 301.3427013, -2962.0000000, 300.3615794, 334.2633114, 382.3012742, 424.2026481, 450.5253939, 462.9563263, 467.4140034, 462.9770986, 440.1382234, 394.3776853, 338.6377409, 299.7078134, -2961.0000000, 298.5060831, 332.4144102, 380.8835391, 423.7332844, 451.3189312, 464.9454279, 470.1685494, 465.8034462, 442.2672328, 395.3306182, 338.4587247, 298.7263681, -2960.0000000, 296.9570210, 330.4534500, 378.8485656, 422.1767936, 450.7740937, 465.6777204, 472.0749179, 468.4122512, 444.8282057, 397.1429098, 339.2461047, 298.6082318, -2959.0000000, 296.0897831, 328.8986885, 376.7827386, 420.0359440, 449.1392050, 465.0407076, 472.6644924, 470.0988100, 447.0862033, 399.2487497, 340.6942480, 299.2923027, -2958.0000000, 296.0589148, 328.1248144, 375.2642786, 417.9938530, 447.0305354, 463.4037061, 471.9411807, 470.4948268, 448.4303500, 401.0083588, 342.3027501, 300.4701739, -2957.0000000, 296.7453778, 328.2247730, 374.6331877, 416.6194471, 445.1415613, 461.4179952, 470.3385056, 469.6912712, 448.6037660, 401.9531487, 343.5735199, 301.7214199, -2956.0000000, 297.8367305, 329.0290405, 374.9277496, 416.2047220, 443.9948708, 459.7358361, 468.4836819, 468.1194431, 447.7244722, 401.9034462, 344.1571649, 302.6488979, -2955.0000000, 298.9441010, 330.2000096, 375.9388901, 416.7546452, 443.8519253, 458.8475674, 466.9994983, 466.3805789, 446.2022397, 400.9851836, 343.9328669, 302.9801770, -2954.0000000, 299.7058339, 331.3280763, 377.2825682, 418.0142416, 444.6754556, 458.9697914, 466.3269573, 465.0399764, 444.5666839, 399.5431198, 343.0098724, 302.6282742, -2953.0000000, 299.8844630, 332.0534436, 378.5322619, 419.5907066, 446.2178910, 460.0794736, 466.6917164, 464.5284576, 443.3336047, 398.0209101, 341.6548493, 301.6676571, -2952.0000000, 299.3785577, 332.1024694, 379.2675038, 420.9999009, 448.0540053, 461.9250354, 468.0881238, 465.0974520, 442.9404082, 396.9003776, 340.2599626, 300.3412440, -2951.0000000, 298.2683037, 331.3672842, 379.1719054, 421.7556544, 449.6361395, 464.0355477, 470.2428880, 466.7426715, 443.6411334, 396.5904382, 339.2524235, 299.0073588, -2950.0000000, 296.8079522, 329.9521915, 378.1329336, 421.4998289, 450.4162057, 465.8006942, 472.6363067, 469.1684889, 445.4289909, 397.3303968, 339.0008024, 298.0641562, -2949.0000000, 295.3780958, 328.1696244, 376.2999782, 420.1216720, 449.9952861, 466.6044482, 474.5826313, 471.7985809, 447.9859610, 399.1034636, 339.7193841, 297.8603749, -2948.0000000, 294.4117377, 326.4995105, 374.1078623, 417.8682739, 448.3090641, 466.0357177, 475.4009555, 473.8578043, 450.6620886, 401.5387238, 341.3312160, 298.5447286, -2947.0000000, 294.2354398, 325.4310904, 372.1559764, 415.3192332, 445.7433898, 464.1418752, 474.7493336, 474.6960160, 452.7061441, 404.0165299, 343.4698361, 299.9975958, -2946.0000000, 294.9439539, 325.2772211, 370.9725271, 413.1464653, 442.9640049, 461.3973796, 472.7544970, 474.0335815, 453.5331173, 405.8731265, 345.5924157, 301.8673898, -2945.0000000, 296.3749653, 326.0844202, 370.8522468, 411.8915570, 440.6787073, 458.5229079, 469.9604552, 472.0697215, 452.9455459, 406.6395673, 347.1654398, 303.6884550, -2944.0000000, 298.1689535, 327.6327954, 371.7803388, 411.8005140, 439.3915463, 456.2019269, 467.0825521, 469.3575445, 451.1680788, 406.1903307, 347.8435161, 305.0403469, -2943.0000000, 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346.7182906, 396.1631472, 434.9402328, 453.1497629, 455.9307241, 452.4285008, 444.2484318, 424.8169447, 389.2249573, 344.1131353, 310.0929846, 1866.0000000, 309.7522064, 345.5322093, 395.7181385, 435.5385293, 454.7751537, 458.2367441, 454.8876566, 446.2783268, 425.9260225, 389.2343679, 343.2393450, 308.7122776, 1867.0000000, 308.1140241, 343.8300634, 394.3213864, 434.9193735, 455.2242422, 459.7140020, 457.0690034, 448.6419392, 427.8645376, 390.2933473, 343.3323230, 308.0379509, 1868.0000000, 306.8608784, 342.1136922, 392.4106869, 433.3042429, 454.3972765, 459.9426183, 458.3296271, 450.6323341, 430.0426895, 392.0624812, 344.3330189, 308.2429365, 1869.0000000, 306.3536158, 340.9111558, 390.6110428, 431.2599854, 452.6265746, 458.9081666, 458.2975008, 451.6128088, 431.7371621, 393.9304532, 345.8644004, 309.2012570, 1870.0000000, 306.6985472, 340.5693760, 389.5018964, 429.5033357, 450.5931997, 457.0764869, 457.0993805, 451.3377935, 432.4164788, 395.2633580, 347.3732337, 310.5300682, 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343.5257611, 309.0963740, 1877.0000000, 308.5769895, 344.3830861, 394.9316683, 435.4715715, 455.5594668, 459.6950613, 456.6196468, 447.7795240, 426.7456763, 389.1951483, 342.5171273, 307.6284925, 1878.0000000, 306.8991605, 342.6972735, 393.6278659, 435.0381338, 456.2799977, 461.4923532, 459.1062224, 450.3543340, 428.7352103, 390.1335269, 342.3698466, 306.6604546, 1879.0000000, 305.3349984, 340.6842316, 391.5079506, 433.4018123, 455.6892769, 462.2104238, 461.0253759, 453.0176637, 431.4130858, 392.1002054, 343.2639231, 306.5360851, 1880.0000000, 304.3385171, 338.8705769, 389.0732779, 430.8782236, 453.7796438, 461.4805120, 461.7229199, 454.9965572, 434.0978223, 394.6667474, 345.0679265, 307.3738389, 1881.0000000, 304.2330055, 337.7730723, 386.9833788, 428.1270321, 451.0193995, 459.4272132, 460.9251701, 455.6873990, 436.0416641, 397.1682893, 347.3466657, 308.9919270, 1882.0000000, 305.0690415, 337.6842031, 385.7791160, 425.8644864, 448.1397371, 456.6048981, 458.8516540, 454.9060660, 436.7274275, 398.9516470, 349.5164258, 310.9769834, 1883.0000000, 306.6204871, 338.5914976, 385.7122353, 424.6135032, 445.8529970, 453.7620636, 456.1044189, 452.9422533, 436.0583821, 399.6162612, 351.0562662, 312.8359569, 1884.0000000, 308.4793011, 340.2118109, 386.6988132, 424.5566685, 444.6108630, 451.5444950, 453.3878622, 450.3815322, 434.3352061, 399.1223926, 351.6759409, 314.1642774, 1885.0000000, 310.2080249, 342.1240961, 388.4152817, 425.5660358, 444.5414906, 450.3327663, 451.2677922, 447.8447404, 432.0610937, 397.7162441, 351.3465971, 314.7355698, 1886.0000000, 311.4568198, 343.9041757, 390.4387812, 427.3276118, 445.5321986, 450.2581581, 450.1077546, 445.8561212, 429.7810979, 395.8015690, 350.2374842, 314.4956114, 1887.0000000, 311.9926893, 345.1724623, 392.3020606, 429.3935898, 447.2698875, 451.2220019, 450.0550644, 444.7884084, 428.0020254, 393.8689854, 348.6891979, 313.5846487, 1888.0000000, 311.7604307, 345.6810543, 393.5886426, 431.2646874, 449.2959350, 452.9161091, 451.0229380, 444.8003953, 427.0882822, 392.3750070, 347.1129442, 312.2813581, 1889.0000000, 310.8742487, 345.3496862, 394.0022343, 432.4704872, 451.0755307, 454.8702298, 452.7125056, 445.8347278, 427.2349713, 391.6975801, 345.9440809, 310.9733355, 1890.0000000, 309.6198167, 344.3085413, 393.4469803, 432.6638783, 452.0732371, 456.4842925, 454.5958204, 447.5564014, 428.3757504, 392.0297026, 345.5440736, 310.0853467, 1891.0000000, 308.4217859, 342.9237272, 392.1274874, 431.7845525, 451.9372086, 457.1830898, 456.0034561, 449.3580344, 430.1113559, 393.2569528, 346.0567189, 309.9372490, 1892.0000000, 307.7174660, 341.7080134, 390.5366568, 430.1574706, 450.7020208, 456.6758194, 456.3768352, 450.5468969, 431.7977166, 394.9458250, 347.3229501, 310.6144690, 1893.0000000, 307.7959027, 341.1382688, 389.2861439, 428.3948297, 448.8100193, 455.1030222, 455.5024488, 450.5999323, 432.7494527, 396.4515258, 348.8921186, 311.9045952, 1894.0000000, 308.6735239, 341.4716182, 388.8796323, 427.1775106, 446.9713772, 453.0330262, 453.6643204, 449.4393234, 432.5590852, 397.1901579, 350.1944238, 313.3679271, 1895.0000000, 310.0741168, 342.6287920, 389.4891502, 426.9415605, 445.8164327, 451.1582209, 451.4613371, 447.4212218, 431.2486551, 396.8817714, 350.7889257, 314.5417189, 1896.0000000, 311.5824187, 344.2917301, 390.9735666, 427.7942344, 445.7086327, 450.0355313, 449.5306394, 445.1141646, 429.1666357, 395.5753270, 350.4693664, 315.0741425, 1897.0000000, 312.7804259, 346.0311831, 392.9798403, 429.5633547, 446.7216288, 449.9836807, 448.3795186, 443.1064131, 426.8296097, 393.5751249, 349.2789911, 314.7931667, 1898.0000000, 313.3411768, 347.4105364, 395.0407661, 431.8707380, 448.6709300, 451.0618782, 448.3047195, 441.8737390, 424.7758114, 391.3312558, 347.4706337, 313.7334095, 1899.0000000, 313.1030306, 348.0910464, 396.6916407, 434.2362174, 451.1883552, 453.1036330, 449.3779856, 441.7119604, 423.4510236, 389.3118176, 345.4055898, 312.0820646, 1900.0000000, 312.0629943, 347.8639269, 397.5272427, 436.1414412, 453.7778084, 455.7588042, 451.4723016, 442.7442848, 423.1956186, 387.9731181, 343.5257206, 310.1740863, 1901.0000000, 310.4035897, 346.7107308, 397.2812460, 437.0984116, 455.8458232, 458.4778434, 454.2070980, 444.8380134, 424.1416018, 387.6525831, 342.2608137, 308.4293367, 1902.0000000, 308.4759349, 344.8488402, 395.9409484, 436.8071717, 456.8539426, 460.6173082, 456.9899461, 447.5880907, 426.1551896, 388.4860786, 341.9364642, 307.2662922, 1903.0000000, 306.7320150, 342.7053755, 393.7920377, 435.2788214, 456.4853919, 461.5955325, 459.1168273, 450.3410064, 428.7900142, 390.3164870, 342.6627893, 306.9878691, 1904.0000000, 305.6164607, 340.8326878, 391.3976232, 432.9168420, 454.8284471, 461.1294471, 459.9937577, 452.3451059, 431.3395361, 392.6527024, 344.2313350, 307.6411740, 1905.0000000, 305.3977881, 339.7169116, 389.4214798, 430.4251132, 452.4303833, 459.4455404, 459.4558494, 453.0895393, 433.1071685, 394.8264168, 346.1584096, 308.9724982, 1906.0000000, 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311.2742967, 1912.0000000, 309.8821294, 344.5512983, 393.6652899, 432.8036948, 452.0522052, 456.2341807, 454.0888549, 446.8292868, 427.5629822, 391.3411807, 345.1534334, 310.0456943, 1913.0000000, 308.7345729, 343.6357482, 393.2432072, 433.1217204, 453.1504341, 457.9111994, 455.9840970, 448.5004169, 428.5921982, 391.5239685, 344.6008052, 309.0254560, 1914.0000000, 307.4336745, 342.1920483, 391.9409179, 432.3680021, 453.2548588, 458.9350189, 457.7383228, 450.5844328, 430.4639722, 392.7079740, 344.9256976, 308.6072728, 1915.0000000, 306.4157919, 340.6502202, 390.0812164, 430.6309462, 452.1477129, 458.8079292, 458.6842382, 452.4079348, 432.6715099, 394.6627146, 346.1727147, 309.0399740, 1916.0000000, 306.0804344, 339.5307371, 388.2276424, 428.3691641, 450.0295356, 457.3886258, 458.3523387, 453.2856337, 434.5058836, 396.8495248, 348.0704108, 310.3078181, 1917.0000000, 306.6322037, 339.2526742, 386.9844050, 426.2603499, 447.4796671, 454.9947476, 456.6980622, 452.8095563, 435.3191317, 398.5927421, 350.0979742, 312.1124056, 1918.0000000, 307.9935767, 339.9763489, 386.7740540, 424.9497816, 445.2413392, 452.2969242, 454.1516973, 451.0472546, 434.8041636, 399.3448630, 351.6694298, 313.9662365, 1919.0000000, 309.8192959, 341.5343543, 387.6701797, 424.7873886, 443.8997592, 450.0039501, 451.3918779, 448.4763895, 433.1050494, 398.9115655, 352.3823328, 315.4073473, 1920.0000000, 311.6677179, 343.5568785, 389.4564940, 425.7930336, 443.7398749, 448.6264962, 449.0577810, 445.7160245, 430.6496659, 397.4180369, 352.0804755, 316.1055378, 1921.0000000, 313.1193403, 345.5922437, 391.7352416, 427.7315313, 444.7660216, 448.4249186, 447.6268326, 443.3647843, 428.0018119, 395.2312476, 350.8616172, 315.9248765, 1922.0000000, 313.8659720, 347.2056545, 394.0223075, 430.1881332, 446.7421633, 449.4022378, 447.3492428, 441.8765682, 425.7096495, 392.8352193, 349.0188330, 314.9328785, 1923.0000000, 313.7680133, 348.0680449, 395.8470474, 432.6586999, 449.2591902, 451.3404800, 448.2465717, 441.5126835, 424.2110891, 390.7175769, 346.9486898, 313.3560039, 1924.0000000, 312.8588677, 348.0015111, 396.8240871, 434.6264752, 451.7998416, 453.8480827, 450.1385490, 442.3446902, 423.8115978, 389.3249934, 345.1064803, 311.5549175, 1925.0000000, 311.3531833, 347.0225823, 396.7192541, 435.6231315, 453.7686486, 456.3468755, 452.5927556, 444.1770609, 424.5880540, 388.9633417, 343.9177527, 309.9675222, 1926.0000000, 309.6363486, 345.3977433, 395.5800115, 435.4088594, 454.6705359, 458.2051599, 454.9898414, 446.5441997, 426.3307669, 389.7014133, 343.6648552, 308.9949370, 1927.0000000, 308.1662718, 343.5842861, 393.7485980, 434.0724600, 454.2712645, 458.9051277, 456.6494867, 448.7662632, 428.5266567, 391.2992488, 344.3852858, 308.8889832, 1928.0000000, 307.3593927, 342.1322720, 391.8202456, 432.0900859, 452.7667711, 458.2857384, 457.0825393, 450.1480172, 430.4612979, 393.2073132, 345.7901286, 309.6176084, 1929.0000000, 307.4134455, 341.4691645, 390.4233049, 430.1700944, 450.7608277, 456.6795154, 456.2582209, 450.3030805, 431.5138013, 394.7668834, 347.3544880, 310.8598675, 1930.0000000, 308.2175754, 341.7179682, 389.9457335, 428.9292752, 448.9725104, 454.7363688, 454.5975137, 449.3164575, 431.4270578, 395.4977437, 348.5509238, 312.1635056, 1931.0000000, 309.4396510, 342.7073541, 390.4455397, 428.6945164, 447.9561779, 453.1239005, 452.7300266, 447.6233012, 430.3301761, 395.2231960, 349.0095066, 313.0940421, 1932.0000000, 310.6502548, 344.0626825, 391.6878858, 429.4611141, 447.9722065, 452.3281128, 451.2695593, 445.8232002, 428.6517043, 394.1002098, 348.6285749, 313.3770032, 1933.0000000, 311.4720248, 345.3512684, 393.2657794, 430.9594526, 448.9745203, 452.5509544, 450.6296893, 444.4500160, 426.9051933, 392.4801583, 347.5303684, 312.9275934, 1934.0000000, 311.6566849, 346.1925169, 394.7286289, 432.7802272, 450.7088232, 453.7620233, 451.0167544, 443.9045512, 425.5830972, 390.8063310, 345.9974513, 311.8337133, 1935.0000000, 311.1060684, 346.3059473, 395.6436285, 434.4331959, 452.7564857, 455.7199615, 452.4233592, 444.4170459, 425.0926931, 389.5425749, 344.4220296, 310.3431225, 1936.0000000, 309.8985016, 345.5717893, 395.6752760, 435.4191324, 454.5764961, 457.9777539, 454.5998112, 445.9886051, 425.6745075, 389.0831919, 343.2289937, 308.8171641, 1937.0000000, 308.2850458, 344.0798797, 394.6856049, 435.3567192, 455.6217693, 459.9598998, 457.0822746, 448.3758634, 427.3536259, 389.6840931, 342.8019224, 307.6669241, 1938.0000000, 306.6480637, 342.1259284, 392.7818935, 434.0737087, 455.4396713, 461.0326194, 459.2092777, 451.0509010, 429.8597199, 391.3665455, 343.3907571, 307.2778354, 1939.0000000, 305.4524916, 340.2094438, 390.3926298, 431.7748196, 453.9027243, 460.7359385, 460.2924147, 453.2720010, 432.5919705, 393.8041986, 344.9609127, 307.8450921, 1940.0000000, 305.0742435, 338.8666722, 388.1460583, 429.0262559, 451.3345154, 459.0316543, 459.9192001, 454.3559753, 434.7975602, 396.3883423, 347.1644707, 309.2831492, 1941.0000000, 305.6605437, 338.4805319, 386.6482677, 426.5579795, 448.4114413, 456.3555118, 458.1539616, 453.9694366, 435.8573573, 398.4299657, 349.4384376, 311.2352398, 1942.0000000, 307.0658377, 339.1386149, 386.2584507, 424.9822722, 445.8883086, 453.4328594, 455.5092898, 452.2676890, 435.5359995, 399.4246628, 351.2106101, 313.2031048, 1943.0000000, 308.9133254, 340.6224354, 386.9859790, 424.5877178, 444.3106184, 450.9661847, 452.6920656, 449.7819576, 434.0404404, 399.2347771, 352.1181329, 314.7455285, 1944.0000000, 310.7619737, 342.5401781, 388.5688001, 425.3318807, 443.8991419, 449.4154568, 450.3143726, 447.1304199, 431.8205052, 398.0215525, 352.0461335, 315.5691279, 1945.0000000, 312.2208083, 344.4552056, 390.6047973, 426.9539973, 444.6178932, 448.9973627, 448.8170072, 444.8891833, 429.4342209, 396.1627054, 351.1144964, 315.5667758, 1946.0000000, 313.0119781, 345.9590395, 392.6225337, 429.0305732, 446.2012125, 449.6725659, 448.4056646, 443.4747064, 427.4049769, 394.1329618, 349.6223213, 314.8249376, 1947.0000000, 313.0252860, 346.7581992, 394.1831413, 431.0732251, 448.2336325, 451.1979191, 449.0669708, 443.1135093, 426.1451049, 392.4057462, 347.9654152, 313.5825358, 1948.0000000, 312.3197285, 346.7118238, 394.9411532, 432.5922723, 450.1994170, 453.1557401, 450.5750099, 443.8255085, 425.9140728, 391.3971914, 346.5850102, 312.2027558, 1949.0000000, 311.1300166, 345.8765679, 394.7186490, 433.1754618, 451.5375445, 454.9675170, 452.4632258, 445.3601849, 426.7321068, 391.3692017, 345.8821055, 311.1177425, 1950.0000000, 309.8554730, 344.5580187, 393.6299599, 432.6655398, 451.8244950, 456.0352876, 454.0952521, 447.1894360, 428.3032525, 392.3073450, 346.0763515, 310.6905768, 1951.0000000, 308.9406466, 343.2315448, 392.0779422, 431.2540627, 450.9490726, 455.9488278, 454.8495908, 448.6274958, 430.0520848, 393.8821313, 347.1180453, 311.1025134, 1952.0000000, 308.7502441, 342.4201052, 390.6716911, 429.4874557, 449.2314423, 454.6987775, 454.3737190, 449.0582740, 431.2658754, 395.4821003, 348.6273024, 312.2271519, 1953.0000000, 309.3914950, 342.4681928, 389.9794403, 428.0623038, 447.3324423, 452.7433453, 452.8043826, 448.2568776, 431.4293829, 396.4775517, 350.0465992, 313.6773342, 1954.0000000, 310.6689013, 343.4000048, 390.2861839, 427.5112295, 445.9343965, 450.7643343, 450.6656820, 446.4579927, 430.4319517, 396.4834470, 350.8783205, 314.9803308, 1955.0000000, 312.1958080, 344.9616504, 391.5448063, 428.0481431, 445.4949708, 449.3760306, 448.5993013, 444.1781729, 428.5278783, 395.4432050, 350.8300070, 315.7317520, 1956.0000000, 313.5364549, 346.7420545, 393.4574063, 429.5852020, 446.1834874, 448.9844782, 447.1733878, 442.0256886, 426.2085947, 393.6029410, 349.8777103, 315.7028282, 1957.0000000, 314.3263819, 348.2921686, 395.5745162, 431.7899651, 447.8787743, 449.7150060, 446.7383421, 440.5042411, 424.0053709, 391.3724105, 348.2148340, 314.8670794, 1958.0000000, 314.3524181, 349.2410857, 397.4303312, 434.2174054, 450.2766950, 451.4793690, 447.4433226, 439.9721500, 422.3988451, 389.2207251, 346.1739210, 313.3639348, 1959.0000000, 313.5551153, 349.3259203, 398.5844425, 436.3469760, 452.9130378, 453.9818120, 449.2230411, 440.6079869, 421.7668098, 387.6162625, 344.1821818, 311.4918904, 1960.0000000, 312.0643344, 348.4672806, 398.7187395, 437.6700912, 455.2159332, 456.7308048, 451.7756883, 442.3596494, 422.3074877, 386.9363570, 342.6784179, 309.6505857, 1961.0000000, 310.1834317, 346.8092125, 397.7350948, 437.8173117, 456.6201361, 459.1083900, 454.5773381, 444.9133270, 423.9778437, 387.3877835, 342.0293784, 308.2674383, 1962.0000000, 308.3394102, 344.7137480, 395.8150024, 436.6791517, 456.7101384, 460.4876237, 456.9424883, 447.6882786, 426.4348068, 388.9184947, 342.4318489, 307.7053605, 1963.0000000, 307.0066493, 342.7229978, 393.4581346, 434.5445035, 455.4361440, 460.4650939, 458.2086542, 449.9304196, 429.0250735, 391.1229366, 343.7685491, 308.0928146, 1964.0000000, 306.5195876, 341.3639853, 391.3236485, 432.0492794, 453.2181190, 459.1099359, 458.0659347, 451.0347334, 431.0285851, 393.3714262, 345.6324226, 309.2693836, 1965.0000000, 306.9488479, 340.9512337, 389.9710614, 429.9115552, 450.7606247, 456.9253140, 456.6791182, 450.7839908, 431.9274596, 395.0311145, 347.4620090, 310.8384378, 1966.0000000, 308.0821372, 341.4879795, 389.6702477, 428.6668711, 448.7702462, 454.6282394, 454.6007843, 449.4232519, 431.6073069, 395.7113217, 348.7578955, 312.3254713, 1967.0000000, 309.5248112, 342.7025265, 390.3498875, 428.5099628, 447.7018658, 452.8484157, 452.4973509, 447.4910222, 430.3365076, 395.3686699, 349.2469292, 313.3486064, 1968.0000000, 310.8592627, 344.1898206, 391.6995921, 429.3238291, 447.6889269, 451.9583446, 450.9068128, 445.5645699, 428.5737725, 394.2239567, 348.8984911, 313.6939657, 1969.0000000, 311.7526496, 345.5414887, 393.3094348, 430.8054774, 448.6281834, 452.0934629, 450.1852653, 444.1454246, 426.8348852, 392.6602882, 347.8800449, 313.3208862, 1970.0000000, 311.9920230, 346.3970917, 394.7247448, 432.5114918, 450.2042708, 453.1469238, 450.4633569, 443.5776137, 425.5885892, 391.1341912, 346.5158516, 312.3733482, 1971.0000000, 311.5407559, 346.5358338, 395.5571542, 433.9646562, 451.9720643, 454.8162493, 451.6515527, 444.0062369, 425.1744188, 390.0731824, 345.1947629, 311.1215971, 1972.0000000, 310.5193077, 345.8958795, 395.5343961, 434.7153278, 453.4088668, 456.6341884, 453.4469439, 445.3626373, 425.7681565, 389.8306153, 344.3306466, 309.9418994, 1973.0000000, 309.2155587, 344.6239612, 394.5874585, 434.4438669, 453.9984986, 458.0091584, 455.3202896, 447.3030513, 427.2879940, 390.5786121, 344.2629504, 309.2423714, 1974.0000000, 308.0477743, 343.0939522, 392.9438155, 433.1218637, 453.4194588, 458.3864524, 456.6110788, 449.2195854, 429.3270921, 392.1897177, 345.1191231, 309.3264161, 1975.0000000, 307.4397948, 341.8122081, 391.1012857, 431.0901533, 451.7262379, 457.4907021, 456.7672827, 450.4185285, 431.2373103, 394.2263943, 346.7368353, 310.2768491, 1976.0000000, 307.6797019, 341.2590663, 389.6832597, 428.9817057, 449.3855500, 455.4813096, 455.5813049, 450.3679691, 432.3147613, 396.0241415, 348.6501046, 311.8710949, 1977.0000000, 308.7777847, 341.6899022, 389.1989287, 427.4926998, 447.1311331, 452.9520990, 453.3557828, 448.9944853, 432.1418381, 396.9820630, 350.2745921, 313.6613023, 1978.0000000, 310.4556551, 343.0287479, 389.8296689, 427.0751318, 445.6151616, 450.6196330, 450.7088705, 446.6599918, 430.7280300, 396.7943449, 351.1414773, 315.1632343, 1979.0000000, 312.2857316, 344.9548333, 391.4417083, 427.8530785, 445.2258877, 449.0706063, 448.3076361, 443.9548791, 428.4266598, 395.4952709, 351.0171903, 315.9963283, 1980.0000000, 313.8264362, 347.0246785, 393.6793276, 429.6635340, 446.0556017, 448.6498456, 446.6905291, 441.4985694, 425.7767810, 393.3938363, 349.9320790, 315.9655966, 1981.0000000, 314.7260523, 348.7805926, 396.0630842, 432.1264611, 447.9268044, 449.4294312, 446.1706691, 439.7850609, 423.3322295, 390.9462357, 348.1315236, 315.0870046, 1982.0000000, 314.7989209, 349.8611169, 398.1151916, 434.7638317, 450.4865643, 451.2652799, 446.8449569, 439.1359273, 421.5621924, 388.6370215, 345.9802442, 313.5367607, 1983.0000000, 314.0177863, 350.0254788, 399.4010372, 437.0410574, 453.2384995, 453.8172603, 448.5997482, 439.6883022, 420.8215337, 386.9362693, 343.9298302, 311.6496257, 1984.0000000, 312.5539493, 349.2343240, 399.6317819, 438.4582420, 455.5944458, 456.5545283, 451.0781502, 441.3294179, 421.2560850, 386.1902264, 342.4137671, 309.8429353, 1985.0000000, 310.7453190, 347.6789051, 398.7602636, 438.6865584, 457.0068819, 458.8479740, 453.7166613, 443.6850439, 422.7562864, 386.5518164, 341.7688592, 308.5405457, 1986.0000000, 309.0405045, 345.7684443, 397.0375434, 437.6956001, 457.1296119, 460.1124355, 455.8319236, 446.1346566, 424.9072334, 387.8864991, 342.1218689, 308.0581111, 1987.0000000, 307.8922166, 344.0532437, 395.0073602, 435.8525293, 456.0115170, 460.0413181, 456.8328008, 447.9498547, 427.0308063, 389.7251886, 343.2774861, 308.4518082, 1988.0000000, 307.5765674, 343.0230898, 393.3255407, 433.8352552, 454.1602145, 458.8237331, 456.5374533, 448.6312195, 428.4595019, 391.4293663, 344.7738732, 309.4837869, 1989.0000000, 308.0774227, 342.9038653, 392.4755492, 432.3191148, 452.2878841, 457.0273353, 455.2246944, 448.1000242, 428.7991188, 392.4391777, 346.0632379, 310.7258066, 1990.0000000, 309.1200919, 343.6134458, 392.6305006, 431.7510578, 451.0423562, 455.3580715, 453.4942710, 446.7025992, 428.0641820, 392.4781167, 346.7137287, 311.7194038, 1991.0000000, 310.2827582, 344.8159513, 393.6261788, 432.2203653, 450.7806303, 454.3745981, 451.9855074, 445.0068945, 426.6055449, 391.6100793, 346.5454731, 312.1392100, 1992.0000000, 311.1645259, 346.0840240, 395.0942792, 433.5281103, 451.5470908, 454.3691730, 451.1799035, 443.5735325, 424.9160984, 390.1312258, 345.6150179, 311.8427011, 1993.0000000, 311.4744199, 347.0143557, 396.5893283, 435.3023492, 453.1520046, 455.3893103, 451.3567099, 442.8522298, 423.4993886, 388.4585708, 344.1558049, 310.8625568, 1994.0000000, 311.0614238, 347.2820804, 397.6531910, 437.0572963, 455.2135083, 457.2545953, 452.5783334, 443.1334843, 422.7971444, 387.0579002, 342.5365305, 309.4086021, 1995.0000000, 309.9591817, 346.7229064, 397.9182667, 438.2887388, 457.2200836, 459.5771035, 454.6691461, 444.4876329, 423.0960969, 386.3369412, 341.1637039, 307.8001568, 1996.0000000, 308.3592896, 345.3536594, 397.1725725, 438.5628558, 458.6139115, 461.8185506, 457.2412058, 446.7653809, 424.5077535, 386.6100536, 340.4452437, 306.4424834, 1997.0000000, 306.6116485, 343.4102345, 395.4409764, 437.6215670, 458.8820368, 463.3338958, 459.6766045, 449.5228527, 426.8579251, 387.9778210, 340.6783978, 305.7363968, 1998.0000000, 305.1663992, 341.3428555, 393.0632102, 435.5511780, 457.7779619, 463.5806325, 461.2689214, 452.0706341, 429.6465210, 390.2262996, 341.9234797, 305.9440291, 1999.0000000, 304.4386468, 339.6932577, 390.6260089, 432.8206617, 455.4841994, 462.3703031, 461.4908598, 453.6814427, 432.1541619, 392.8320838, 343.9330742, 307.0733899, 2000.0000000, 304.6577093, 338.9119953, 388.7721440, 430.1421790, 452.5902502, 459.9910643, 460.2335216, 453.8742090, 433.6822903, 395.1031970, 346.1931458, 308.8417231, 2001.0000000, 305.7663477, 339.1874467, 387.9645902, 428.2109649, 449.8832770, 457.1298429, 457.9025963, 452.6607390, 433.8670876, 396.4600422, 348.1140090, 310.7732266, 2002.0000000, 307.4372839, 340.3747304, 388.3068235, 427.4159087, 447.9902290, 454.5236706, 455.1730382, 450.4757625, 432.7873633, 396.6528802, 349.2652336, 312.4031379, 2003.0000000, 309.2404569, 342.1248783, 389.6122319, 427.8166546, 447.2440512, 452.7297239, 452.7121902, 447.9324583, 430.8304874, 395.7538227, 349.4516895, 313.3833982, 2004.0000000, 310.7551820, 343.9958071, 391.5005199, 429.2027214, 447.6811985, 452.0453367, 451.0291917, 445.6400152, 428.5401731, 394.0887629, 348.7303453, 313.5530334, 2005.0000000, 311.6656250, 345.5597424, 393.5044751, 431.1817892, 449.0921882, 452.5037361, 450.4040548, 444.0708159, 426.4588791, 392.1110592, 347.3537023, 312.9463574, 2006.0000000, 311.8143580, 346.4870323, 395.1685325, 433.2755148, 451.0994276, 453.9216229, 450.8926111, 443.5129664, 425.0339275, 390.2927013, 345.6849082, 311.7519462, 2007.0000000, 311.2026426, 346.5790878, 396.1017509, 434.9760034, 453.2051104, 455.9328974, 452.3441025, 444.0677879, 424.5917667, 389.0849240, 344.1653293, 310.3060870, 2008.0000000, 310.0191861, 345.8330388, 396.0641546, 435.8243215, 454.8332129, 457.9832839, 454.3509407, 445.5633627, 425.2273934, 388.7982730, 343.2087029, 309.0213655, 2009.0000000, 308.6162854, 344.4814058, 395.0782767, 435.5725199, 455.4976354, 459.4620250, 456.3217076, 447.5648350, 426.7601408, 389.5232253, 343.1065090, 308.2941647, 2010.0000000, 307.4349619, 342.9556979, 393.4587360, 434.2892252, 454.9567908, 459.8559935, 457.5884497, 449.4092824, 428.6949508, 391.0356675, 343.9062082, 308.3783740, 2011.0000000, 306.8846620, 341.7901921, 391.7800411, 432.4325656, 453.3978094, 459.0060482, 457.6715046, 450.4133075, 430.3291288, 392.7965211, 345.3270477, 309.2459613, 2012.0000000, 307.1617164, 341.4043256, 390.6566187, 430.6959108, 451.4154129, 457.2454182, 456.5496460, 450.2049567, 431.0559746, 394.1582744, 346.8519560, 310.5812917, 2013.0000000, 308.1583316, 341.9205924, 390.4708573, 429.6860367, 449.7176217, 455.2164164, 454.6416665, 448.8710766, 430.6211432, 394.6411744, 347.9517370, 311.9302427, 2014.0000000, 309.5420044, 343.1694787, 391.2845541, 429.7351343, 448.8658653, 453.5962745, 452.5903448, 446.8625007, 429.1675133, 394.0754423, 348.2550044, 312.8510538, 2015.0000000, 310.8733333, 344.7656356, 392.8532948, 430.8314810, 449.1162602, 452.8696068, 451.0120054, 444.7862566, 427.1341464, 392.6272124, 347.6639972, 313.0673505, 2016.0000000, 311.7691803, 346.2697115, 394.7662083, 432.7068669, 450.4287539, 453.2468602, 450.3296214, 443.1858412, 425.0439083, 390.6546697, 346.3018774, 312.4877949, 2017.0000000, 311.9681588, 347.2839369, 396.5566224, 434.9430440, 452.5499749, 454.7064689, 450.7626547, 442.4765791, 423.4036351, 388.6135507, 344.4585002, 311.2000138, 2018.0000000, 311.3624695, 347.5086844, 397.7675164, 437.0293084, 455.0523255, 457.0110355, 452.3158959, 442.9036051, 422.6349626, 386.9804397, 342.5370001, 309.4575476, 2019.0000000, 310.0282389, 346.8116167, 398.0415549, 438.4436460, 457.3816708, 459.7148421, 454.7520892, 444.4839004, 422.9917697, 386.1593417, 340.9677955, 307.6229527, 2020.0000000, 308.2104616, 345.2650199, 397.2100863, 438.7682617, 458.9631122, 462.2343347, 457.6205996, 447.0009301, 424.5288184, 386.4307408, 340.1528422, 306.1206041, 2021.0000000, 306.2993404, 343.1615761, 395.3594802, 437.7918612, 459.2990255, 463.9030299, 460.2505982, 449.9385087, 426.9963686, 387.8335781, 340.3541165, 305.3446681, 2022.0000000, 304.7670427, 341.0038850, 392.9095082, 435.6922581, 458.2213821, 464.2232846, 461.9373405, 452.5674067, 429.8243160, 390.0736765, 341.5598430, 305.5053180, 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