# 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 : 75 # 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, 0.0000000, 1.7680324, 55.0072037, 183.0884410, 354.3725469, 492.2270543, 510.8011471, 393.2400853, 206.8178068, 59.6911695, 1.4393757, 0.0000000, -2998.0000000, 0.0000000, 1.7675682, 55.0906086, 183.7073403, 356.0310939, 494.7108084, 513.0244177, 394.3041720, 206.9111572, 59.5869015, 1.4349788, 0.0000000, -2997.0000000, 0.0000000, 1.7628133, 55.0275210, 183.8631030, 357.0179329, 496.7697309, 515.4425251, 395.9819143, 207.5033265, 59.6459766, 1.4343478, 0.0000000, -2996.0000000, 0.0000000, 1.7555341, 54.8480592, 183.5384943, 357.0640657, 497.7763884, 517.2766518, 397.7054683, 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182.5776397, 356.1202836, 498.0146923, 519.1364034, 400.1281356, 209.9345474, 60.3254067, 1.4570236, 0.0000000, -2970.0000000, 0.0000000, 1.7390395, 54.3166260, 181.8324288, 354.4511995, 495.8366398, 517.5239785, 399.6926531, 210.1990043, 60.5248199, 1.4639535, 0.0000000, -2969.0000000, 0.0000000, 1.7412153, 54.2946013, 181.3991120, 353.0136717, 493.3722333, 515.0057947, 398.2291413, 209.8713276, 60.5766375, 1.4683116, 0.0000000, -2968.0000000, 0.0000000, 1.7476952, 54.4178622, 181.4250790, 352.2527217, 491.3547579, 512.3100944, 396.1429309, 209.0280524, 60.4600666, 1.4688295, 0.0000000, -2967.0000000, 0.0000000, 1.7569289, 54.6600593, 181.9209231, 352.3855947, 490.3122381, 510.1213973, 393.9530232, 207.8711139, 60.1996143, 1.4653203, 0.0000000, -2966.0000000, 0.0000000, 1.7668342, 54.9705334, 182.7973810, 353.4294596, 490.5338881, 508.9719083, 392.1713094, 206.6649801, 59.8530014, 1.4585690, 0.0000000, -2965.0000000, 0.0000000, 1.7751242, 55.2820579, 183.8794466, 355.2021852, 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359.2378772, 483.1408267, 488.2215776, 374.5771566, 206.2563364, 69.1389484, 3.7602189, 0.0000000, 1874.0000000, 0.0000000, 1.5204764, 56.2119131, 190.0283753, 360.2492374, 483.7197998, 487.8621137, 373.6123861, 205.4528207, 68.8380032, 3.7450736, 0.0000000, 1875.0000000, 0.0000000, 1.5243712, 56.4144319, 190.8454300, 361.7690253, 485.3066643, 488.6454491, 373.4328329, 204.9332824, 68.5627813, 3.7279085, 0.0000000, 1876.0000000, 0.0000000, 1.5250332, 56.5275867, 191.5314692, 363.4318545, 487.5797201, 490.4870751, 374.1741457, 204.8701590, 68.3916332, 3.7133013, 0.0000000, 1877.0000000, 0.0000000, 1.5218302, 56.5063391, 191.8713977, 364.7889072, 490.0090469, 493.0407452, 375.7718789, 205.3464084, 68.3854336, 3.7056060, 0.0000000, 1878.0000000, 0.0000000, 1.5150865, 56.3359119, 191.7120608, 365.4022525, 491.9353882, 495.7176222, 377.9327726, 206.3222275, 68.5722570, 3.7080044, 0.0000000, 1879.0000000, 0.0000000, 1.5061471, 56.0411575, 191.0174180, 364.9684474, 492.7159952, 497.7756782, 380.1481287, 207.6135660, 68.9334991, 3.7215378, 0.0000000, 1880.0000000, 0.0000000, 1.4972564, 55.6904755, 189.9182768, 363.4701891, 491.9535930, 498.5107333, 381.7704339, 208.8884113, 69.3884718, 3.7437640, 0.0000000, 1881.0000000, 0.0000000, 1.4908760, 55.3783270, 188.7012783, 361.2734957, 489.7762021, 497.6311948, 382.3011480, 209.7892623, 69.8182056, 3.7692259, 0.0000000, 1882.0000000, 0.0000000, 1.4886607, 55.1853959, 187.6836159, 358.9609084, 486.7715851, 495.3780225, 381.5976236, 210.0753754, 70.1099706, 3.7913829, 0.0000000, 1883.0000000, 0.0000000, 1.4909792, 55.1528001, 187.1016481, 357.1060712, 483.7369960, 492.4036279, 379.9137240, 209.7111937, 70.1991670, 3.8050403, 0.0000000, 1884.0000000, 0.0000000, 1.4969327, 55.2736411, 187.0434853, 356.0778915, 481.3625202, 489.4688366, 377.7466921, 208.8505528, 70.0857761, 3.8079093, 0.0000000, 1885.0000000, 0.0000000, 1.5048644, 55.5054773, 187.4597376, 355.9870805, 480.0566670, 487.1831776, 375.6177427, 207.7403793, 69.8187188, 3.8006569, 0.0000000, 1886.0000000, 0.0000000, 1.5129427, 55.7899676, 188.2172852, 356.7506249, 479.9623967, 485.9370841, 373.9633396, 206.6437230, 69.4724403, 3.7859591, 0.0000000, 1887.0000000, 0.0000000, 1.5193784, 56.0606367, 189.1220232, 358.1236444, 480.9774396, 485.8871105, 373.0902203, 205.8015319, 69.1339379, 3.7680348, 0.0000000, 1888.0000000, 0.0000000, 1.5228170, 56.2561704, 189.9543089, 359.7423339, 482.7756262, 486.9371031, 373.1243928, 205.3838206, 68.8818018, 3.7514839, 0.0000000, 1889.0000000, 0.0000000, 1.5225566, 56.3306756, 190.5041820, 361.1788285, 484.8571664, 488.7622336, 374.0101075, 205.4774123, 68.7788303, 3.7407819, 0.0000000, 1890.0000000, 0.0000000, 1.5187985, 56.2655216, 190.6127122, 362.0006657, 486.5824361, 490.7911311, 375.4593785, 206.0424195, 68.8535628, 3.7391994, 0.0000000, 1891.0000000, 0.0000000, 1.5128748, 56.0849538, 190.2450187, 361.9179639, 487.3362253, 492.3012510, 376.9589221, 206.8799722, 69.0799382, 3.7473622, 0.0000000, 1892.0000000, 0.0000000, 1.5069774, 55.8563896, 189.5367652, 360.9483785, 486.8047295, 492.6916878, 377.9294849, 207.6774266, 69.3771667, 3.7625938, 0.0000000, 1893.0000000, 0.0000000, 1.5033852, 55.6674229, 188.7540380, 359.4382057, 485.1335740, 491.7354703, 377.9401335, 208.1081951, 69.6306706, 3.7793711, 0.0000000, 1894.0000000, 0.0000000, 1.5036031, 55.5934849, 188.1986982, 357.9538873, 482.9259036, 489.7426263, 376.9365202, 207.9848261, 69.7409731, 3.7915057, 0.0000000, 1895.0000000, 0.0000000, 1.5076956, 55.6642717, 188.0689360, 357.0039182, 480.9196326, 487.3614645, 375.2262057, 207.3277070, 69.6648795, 3.7948020, 0.0000000, 1896.0000000, 0.0000000, 1.5145777, 55.8644363, 188.4193591, 356.8863372, 479.7102012, 485.2797134, 373.2901166, 206.3118857, 69.4173274, 3.7879343, 0.0000000, 1897.0000000, 0.0000000, 1.5225187, 56.1470372, 189.1808408, 357.6679790, 479.6401247, 484.0435823, 371.6209778, 205.1891467, 69.0565978, 3.7723109, 0.0000000, 1898.0000000, 0.0000000, 1.5295746, 56.4469592, 190.1917352, 359.2082638, 480.7755558, 483.9712142, 370.6136953, 204.2177433, 68.6640073, 3.7513757, 0.0000000, 1899.0000000, 0.0000000, 1.5340662, 56.6972952, 191.2429051, 361.2177438, 482.9418172, 485.1376468, 370.5103137, 203.6085685, 68.3217142, 3.7294248, 0.0000000, 1900.0000000, 0.0000000, 1.5347607, 56.8376627, 192.1056029, 363.3022928, 485.7680310, 487.4032570, 371.4068094, 203.5195648, 68.1075932, 3.7112485, 0.0000000, 1901.0000000, 0.0000000, 1.5311782, 56.8254946, 192.5607746, 364.9861264, 488.6697557, 490.3550375, 373.1840195, 204.0068527, 68.0767967, 3.7011327, 0.0000000, 1902.0000000, 0.0000000, 1.5238980, 56.6534168, 192.4688116, 365.8328622, 490.9607821, 493.3521655, 375.4953615, 204.9981113, 68.2476483, 3.7018732, 0.0000000, 1903.0000000, 0.0000000, 1.5145555, 56.3571996, 191.8254141, 365.5793432, 492.0185718, 495.6350092, 377.7890422, 206.2718125, 68.5865337, 3.7137090, 0.0000000, 1904.0000000, 0.0000000, 1.5055668, 56.0145987, 190.8004454, 364.2849755, 491.5369797, 496.5648569, 379.4369772, 207.4854087, 69.0025785, 3.7334178, 0.0000000, 1905.0000000, 0.0000000, 1.4993147, 55.7214564, 189.7010630, 362.3798992, 489.7528523, 495.9676337, 380.0193481, 208.3074445, 69.3773125, 3.7551629, 0.0000000, 1906.0000000, 0.0000000, 1.4971199, 55.5490541, 188.8280752, 360.4501358, 487.3076167, 494.1856966, 379.4969638, 208.5563492, 69.6138647, 3.7729358, 0.0000000, 1907.0000000, 0.0000000, 1.4989969, 55.5254931, 188.3786171, 359.0137892, 484.9609559, 491.8833165, 378.1763008, 208.2460218, 69.6667612, 3.7824836, 0.0000000, 1908.0000000, 0.0000000, 1.5038051, 55.6327049, 188.3989892, 358.3623738, 483.3144087, 489.7631904, 376.5476837, 207.5530041, 69.5512785, 3.7825484, 0.0000000, 1909.0000000, 0.0000000, 1.5098454, 55.8230206, 188.8113343, 358.5405406, 482.6829729, 488.3487720, 375.0873495, 206.7189931, 69.3226267, 3.7744620, 0.0000000, 1910.0000000, 0.0000000, 1.5153602, 56.0366509, 189.4633619, 359.4094736, 483.1206168, 487.9378343, 374.1686526, 205.9853581, 69.0548132, 3.7612454, 0.0000000, 1911.0000000, 0.0000000, 1.5187802, 56.2109615, 190.1569762, 360.6898773, 484.4555760, 488.6053243, 374.0351483, 205.5637558, 68.8294168, 3.7471271, 0.0000000, 1912.0000000, 0.0000000, 1.5190361, 56.2914886, 190.6770044, 361.9910151, 486.2906531, 490.1638460, 374.7395755, 205.5877836, 68.7163223, 3.7364842, 0.0000000, 1913.0000000, 0.0000000, 1.5158269, 56.2450551, 190.8397328, 362.8923596, 488.0824027, 492.2058208, 376.1479166, 206.1006479, 68.7655982, 3.7332822, 0.0000000, 1914.0000000, 0.0000000, 1.5097662, 56.0688535, 190.5304757, 363.0053071, 489.1833110, 494.0899534, 377.8867797, 207.0081345, 68.9881473, 3.7399552, 0.0000000, 1915.0000000, 0.0000000, 1.5025489, 55.8047060, 189.7798628, 362.1460724, 489.0599570, 495.0968994, 379.3894249, 208.0606056, 69.3376613, 3.7560155, 0.0000000, 1916.0000000, 0.0000000, 1.4964953, 55.5313380, 188.7836890, 360.4653659, 487.5573996, 494.7227844, 380.0854522, 208.9161774, 69.7156403, 3.7776087, 0.0000000, 1917.0000000, 0.0000000, 1.4937095, 55.3365972, 187.8389974, 358.4210005, 485.0102694, 492.9233829, 379.6426400, 209.2685386, 70.0033870, 3.7985896, 0.0000000, 1918.0000000, 0.0000000, 1.4953006, 55.2851258, 187.2337556, 356.6081406, 482.1314692, 490.1663129, 378.1291784, 208.9801121, 70.1090765, 3.8127538, 0.0000000, 1919.0000000, 0.0000000, 1.5009387, 55.3927546, 187.1291403, 355.5008439, 479.6771736, 487.1852850, 375.9536998, 208.1303571, 70.0053906, 3.8164805, 0.0000000, 1920.0000000, 0.0000000, 1.5092804, 55.6331804, 187.5413634, 355.3350107, 478.1940068, 484.6695635, 373.6380501, 206.9319003, 69.7208531, 3.8090672, 0.0000000, 1921.0000000, 0.0000000, 1.5184639, 55.9527300, 188.3732413, 356.1220504, 477.9624842, 483.1326596, 371.6822107, 205.6582064, 69.3244978, 3.7925464, 0.0000000, 1922.0000000, 0.0000000, 1.5265251, 56.2835237, 189.4465947, 357.6798185, 478.9888851, 482.8422514, 370.4617711, 204.5713810, 68.9032263, 3.7707920, 0.0000000, 1923.0000000, 0.0000000, 1.5317995, 56.5574616, 190.5412197, 359.6856610, 481.0435956, 483.8190957, 370.1890514, 203.8775659, 68.5419833, 3.7484125, 0.0000000, 1924.0000000, 0.0000000, 1.5331722, 56.7166626, 191.4284539, 361.7277701, 483.7113855, 485.8661797, 370.9164892, 203.7173124, 68.3164762, 3.7302917, 0.0000000, 1925.0000000, 0.0000000, 1.5303072, 56.7229342, 191.8973678, 363.3279909, 486.3770201, 488.5147873, 372.4723877, 204.1198235, 68.2757125, 3.7205555, 0.0000000, 1926.0000000, 0.0000000, 1.5240131, 56.5774899, 191.8344998, 364.0838546, 488.3663898, 491.0955412, 374.4602928, 204.9764965, 68.4260025, 3.7214623, 0.0000000, 1927.0000000, 0.0000000, 1.5160945, 56.3245750, 191.2700573, 363.7980397, 489.1246801, 492.8750191, 376.3080502, 206.0348695, 68.7194527, 3.7324328, 0.0000000, 1928.0000000, 0.0000000, 1.5090085, 56.0472380, 190.4069374, 362.6169366, 488.4758397, 493.3281175, 377.4367616, 206.9504629, 69.0558762, 3.7494463, 0.0000000, 1929.0000000, 0.0000000, 1.5049225, 55.8369770, 189.5556283, 361.0175744, 486.7702556, 492.4254345, 377.5320178, 207.4300287, 69.3198715, 3.7663920, 0.0000000, 1930.0000000, 0.0000000, 1.5047909, 55.7536784, 188.9917660, 359.5759007, 484.6987977, 490.6243250, 376.6757187, 207.3591378, 69.4312427, 3.7777472, 0.0000000, 1931.0000000, 0.0000000, 1.5082434, 55.8108072, 188.8662437, 358.7410208, 482.9735871, 488.6055280, 375.2402420, 206.8090836, 69.3650967, 3.7801964, 0.0000000, 1932.0000000, 0.0000000, 1.5138898, 55.9792418, 189.1844216, 358.7291936, 482.1149257, 487.0308650, 373.7306494, 205.9919071, 69.1548019, 3.7735530, 0.0000000, 1933.0000000, 0.0000000, 1.5199010, 56.2034455, 189.8334435, 359.5111624, 482.3409980, 486.3449269, 372.5925188, 205.1563474, 68.8658005, 3.7599610, 0.0000000, 1934.0000000, 0.0000000, 1.5245132, 56.4196987, 190.6367045, 360.8895820, 483.6223093, 486.7681252, 372.1570459, 204.5375396, 68.5773858, 3.7430538, 0.0000000, 1935.0000000, 0.0000000, 1.5262594, 56.5648342, 191.3793590, 362.5335684, 485.7042243, 488.2899902, 372.6106129, 204.3269051, 68.3701025, 3.7273174, 0.0000000, 1936.0000000, 0.0000000, 1.5242694, 56.5875365, 191.8392719, 364.0111070, 488.1121246, 490.6386797, 373.9464787, 204.6336319, 68.3102028, 3.7172086, 0.0000000, 1937.0000000, 0.0000000, 1.5185696, 56.4633011, 191.8429076, 364.8813061, 490.2331283, 493.3118530, 375.9532055, 205.4621180, 68.4379724, 3.7163920, 0.0000000, 1938.0000000, 0.0000000, 1.5101480, 56.2022185, 191.3061821, 364.7744510, 491.3903436, 495.5950635, 378.1824238, 206.6745151, 68.7511669, 3.7267345, 0.0000000, 1939.0000000, 0.0000000, 1.5010588, 55.8615020, 190.3105108, 363.5776660, 491.0898718, 496.7468803, 380.0114741, 207.9766261, 69.1866857, 3.7468439, 0.0000000, 1940.0000000, 0.0000000, 1.4937669, 55.5299883, 189.0998246, 361.5400714, 489.2862464, 496.3255999, 380.8734980, 209.0067647, 69.6342944, 3.7720805, 0.0000000, 1941.0000000, 0.0000000, 1.4902761, 55.2967248, 187.9955510, 359.1982297, 486.4400512, 494.4047695, 380.5000980, 209.4738205, 69.9737488, 3.7959249, 0.0000000, 1942.0000000, 0.0000000, 1.4913966, 55.2178561, 187.2723410, 357.1580346, 483.3229331, 491.5405699, 379.0331534, 209.2753126, 70.1214175, 3.8124437, 0.0000000, 1943.0000000, 0.0000000, 1.4965547, 55.3000518, 187.0648250, 355.8626944, 480.6847458, 488.4967592, 376.9255127, 208.5207989, 70.0600469, 3.8184671, 0.0000000, 1944.0000000, 0.0000000, 1.5042751, 55.5101392, 187.3616076, 355.4969594, 479.0182851, 485.9329569, 374.6973208, 207.4327185, 69.8241750, 3.8137336, 0.0000000, 1945.0000000, 0.0000000, 1.5127303, 55.7933934, 188.0537326, 356.0396871, 478.5575305, 484.3229484, 372.8290956, 206.2813122, 69.4844285, 3.8004677, 0.0000000, 1946.0000000, 0.0000000, 1.5200502, 56.0833413, 188.9585217, 357.2844780, 479.2635197, 483.8862936, 371.6645921, 205.3161759, 69.1256847, 3.7825459, 0.0000000, 1947.0000000, 0.0000000, 1.5247219, 56.3161415, 189.8620919, 358.9029043, 480.8796410, 484.6060752, 371.3867924, 204.7308809, 68.8301327, 3.7645306, 0.0000000, 1948.0000000, 0.0000000, 1.5257977, 56.4394325, 190.5470470, 360.4834634, 482.9625233, 486.2362067, 372.0048488, 204.6435997, 68.6678405, 3.7510903, 0.0000000, 1949.0000000, 0.0000000, 1.5231449, 56.4231321, 190.8267430, 361.5746300, 484.8961641, 488.2714884, 373.3013673, 205.0561356, 68.6797907, 3.7460307, 0.0000000, 1950.0000000, 0.0000000, 1.5177808, 56.2783531, 190.6240254, 361.8303595, 486.0418511, 490.0248388, 374.8288091, 205.8189829, 68.8575988, 3.7508749, 0.0000000, 1951.0000000, 0.0000000, 1.5116525, 56.0587936, 190.0151741, 361.1518916, 485.9590747, 490.8270604, 376.0121686, 206.6511477, 69.1381020, 3.7640934, 0.0000000, 1952.0000000, 0.0000000, 1.5071582, 55.8504713, 189.2356167, 359.7864078, 484.6335616, 490.3009763, 376.3411992, 207.2113014, 69.4114420, 3.7807833, 0.0000000, 1953.0000000, 0.0000000, 1.5061436, 55.7371405, 188.5924207, 358.2588746, 482.5503805, 488.5977631, 375.6378137, 207.2589815, 69.5688900, 3.7946780, 0.0000000, 1954.0000000, 0.0000000, 1.5091333, 55.7643272, 188.3252635, 357.1177181, 480.4352660, 486.2853315, 374.1085314, 206.7507514, 69.5481422, 3.8007950, 0.0000000, 1955.0000000, 0.0000000, 1.5153684, 55.9303752, 188.5355632, 356.7355899, 478.9441520, 484.0565818, 372.1919138, 205.8172679, 69.3457474, 3.7968061, 0.0000000, 1956.0000000, 0.0000000, 1.5232608, 56.1968111, 189.1917961, 357.2559333, 478.5123579, 482.5234950, 370.3983712, 204.6992455, 69.0103467, 3.7834227, 0.0000000, 1957.0000000, 0.0000000, 1.5308661, 56.5016531, 190.1530464, 358.5891456, 479.2764500, 482.0621551, 369.1468210, 203.6524609, 68.6168400, 3.7635229, 0.0000000, 1958.0000000, 0.0000000, 1.5364190, 56.7785810, 191.2265626, 360.4976732, 481.1452196, 482.8311727, 368.7320525, 202.9052276, 68.2482490, 3.7412136, 0.0000000, 1959.0000000, 0.0000000, 1.5384830, 56.9628374, 192.1836345, 362.6137773, 483.8059979, 484.7575977, 369.2967346, 202.6339060, 67.9850742, 3.7212340, 0.0000000, 1960.0000000, 0.0000000, 1.5363258, 57.0050205, 192.7973081, 364.4802014, 486.7366052, 487.5134446, 370.7894518, 202.9268960, 67.8900208, 3.7080942, 0.0000000, 1961.0000000, 0.0000000, 1.5301850, 56.8857483, 192.8983584, 365.6406594, 489.2786934, 490.5317887, 372.9400153, 203.7556710, 67.9942286, 3.7051340, 0.0000000, 1962.0000000, 0.0000000, 1.5213508, 56.6255075, 192.4296534, 365.7542191, 490.7623171, 493.0726680, 375.2567078, 204.9479302, 68.2825294, 3.7135872, 0.0000000, 1963.0000000, 0.0000000, 1.5121089, 56.2919614, 191.5096144, 364.7697027, 490.7535582, 494.4231363, 377.1079742, 206.1855597, 68.6785088, 3.7311728, 0.0000000, 1964.0000000, 0.0000000, 1.5049486, 55.9791335, 190.4137281, 363.0139423, 489.3214157, 494.2523844, 377.9936487, 207.1241275, 69.0693498, 3.7527411, 0.0000000, 1965.0000000, 0.0000000, 1.5016157, 55.7701195, 189.4593243, 361.0472931, 486.9987513, 492.7420716, 377.7426010, 207.5220662, 69.3457705, 3.7719925, 0.0000000, 1966.0000000, 0.0000000, 1.5025490, 55.7085803, 188.8880021, 359.4381615, 484.5488330, 490.4909291, 376.5705567, 207.3344371, 69.4444505, 3.7839139, 0.0000000, 1967.0000000, 0.0000000, 1.5069000, 55.7894209, 188.7931029, 358.5575981, 482.6442057, 488.2184756, 374.9346085, 206.6987197, 69.3641118, 3.7863481, 0.0000000, 1968.0000000, 0.0000000, 1.5130762, 55.9720254, 189.1299555, 358.5202860, 481.6844822, 486.5040723, 373.3192337, 205.8399554, 69.1487173, 3.7798560, 0.0000000, 1969.0000000, 0.0000000, 1.5193093, 56.1998272, 189.7702142, 359.2506716, 481.8169235, 485.7299826, 372.1417664, 205.0068495, 68.8687109, 3.7670250, 0.0000000, 1970.0000000, 0.0000000, 1.5238863, 56.4079702, 190.5214575, 360.5018469, 482.9304772, 486.0347818, 371.6848791, 204.4219566, 68.6048765, 3.7518403, 0.0000000, 1971.0000000, 0.0000000, 1.5255735, 56.5390416, 191.1734646, 361.9204973, 484.7050083, 487.3194991, 372.0633435, 204.2434578, 68.4306981, 3.7386388, 0.0000000, 1972.0000000, 0.0000000, 1.5237639, 56.5505533, 191.5251588, 363.0880992, 486.6439135, 489.2552261, 373.2122363, 204.5490338, 68.4047115, 3.7316592, 0.0000000, 1973.0000000, 0.0000000, 1.5187483, 56.4277714, 191.4295069, 363.5872072, 488.1165939, 491.2696248, 374.8367706, 205.2916547, 68.5519064, 3.7339491, 0.0000000, 1974.0000000, 0.0000000, 1.5119162, 56.1984179, 190.8657238, 363.1519803, 488.5296522, 492.6503523, 376.4240690, 206.2692217, 68.8440946, 3.7459738, 0.0000000, 1975.0000000, 0.0000000, 1.5054455, 55.9308357, 189.9766929, 361.8159962, 487.5857079, 492.8040490, 377.3949052, 207.1675659, 69.1998385, 3.7650151, 0.0000000, 1976.0000000, 0.0000000, 1.5016375, 55.7144394, 189.0378549, 359.9450874, 485.4503586, 491.5104360, 377.3118340, 207.6517851, 69.5011771, 3.7853573, 0.0000000, 1977.0000000, 0.0000000, 1.5019969, 55.6256054, 188.3581101, 358.1248082, 482.7537979, 489.0995640, 376.1247331, 207.5301464, 69.6458085, 3.8006246, 0.0000000, 1978.0000000, 0.0000000, 1.5066118, 55.6954602, 188.1428454, 356.8813442, 480.2595745, 486.2402187, 374.1461556, 206.8175176, 69.5862506, 3.8063143, 0.0000000, 1979.0000000, 0.0000000, 1.5144056, 55.9099093, 188.4543246, 356.5328198, 478.5947844, 483.6520153, 371.8751588, 205.6916391, 69.3353006, 3.8008436, 0.0000000, 1980.0000000, 0.0000000, 1.5236084, 56.2218845, 189.2277324, 357.1612588, 478.1297741, 481.9143868, 369.8300672, 204.4150972, 68.9523794, 3.7855440, 0.0000000, 1981.0000000, 0.0000000, 1.5322069, 56.5647891, 190.3008864, 358.6318672, 478.9444556, 481.3629074, 368.4206107, 203.2535484, 68.5201378, 3.7638561, 0.0000000, 1982.0000000, 0.0000000, 1.5384378, 56.8701667, 191.4660078, 360.6676894, 480.8880950, 482.0996745, 367.9100639, 202.4288996, 68.1236654, 3.7401536, 0.0000000, 1983.0000000, 0.0000000, 1.5409368, 57.0736961, 192.4876407, 362.8747366, 483.6006294, 483.9995607, 368.4059646, 202.1058359, 67.8432802, 3.7193934, 0.0000000, 1984.0000000, 0.0000000, 1.5391247, 57.1297652, 193.1419619, 364.7819309, 486.5177554, 486.6753356, 369.8061542, 202.3472139, 67.7356611, 3.7059084, 0.0000000, 1985.0000000, 0.0000000, 1.5334519, 57.0260851, 193.2770526, 365.9463202, 488.9689239, 489.5177331, 371.7902920, 203.0925471, 67.8222082, 3.7026408, 0.0000000, 1986.0000000, 0.0000000, 1.5254465, 56.7932798, 192.8704751, 366.0818107, 490.3283162, 491.7896846, 373.8347963, 204.1359184, 68.0734762, 3.7100274, 0.0000000, 1987.0000000, 0.0000000, 1.5174853, 56.5059526, 192.0758278, 365.2165188, 490.2650665, 492.8557157, 375.3312919, 205.1488258, 68.4026172, 3.7249926, 0.0000000, 1988.0000000, 0.0000000, 1.5119497, 56.2584841, 191.1883879, 363.7486881, 488.9763074, 492.5233056, 375.8693261, 205.8138652, 68.6965893, 3.7419554, 0.0000000, 1989.0000000, 0.0000000, 1.5102240, 56.1237462, 190.5079876, 362.2465055, 487.0642840, 491.0966934, 375.3936356, 205.9497828, 68.8600727, 3.7549648, 0.0000000, 1990.0000000, 0.0000000, 1.5123621, 56.1317450, 190.2379155, 361.2326106, 485.2811049, 489.2247704, 374.2032453, 205.5730946, 68.8502505, 3.7599022, 0.0000000, 1991.0000000, 0.0000000, 1.5171919, 56.2638966, 190.4251876, 361.0002788, 484.2239899, 487.5971700, 372.7780171, 204.8594586, 68.6843285, 3.7556833, 0.0000000, 1992.0000000, 0.0000000, 1.5229635, 56.4708112, 190.9887365, 361.5929675, 484.2072088, 486.7318727, 371.5869210, 204.0487566, 68.4186518, 3.7437770, 0.0000000, 1993.0000000, 0.0000000, 1.5278623, 56.6901402, 191.7692318, 362.8656346, 485.2843594, 486.9279960, 371.0027800, 203.3824000, 68.1286003, 3.7273708, 0.0000000, 1994.0000000, 0.0000000, 1.5302629, 56.8556820, 192.5547012, 364.5177041, 487.2659984, 488.2503680, 371.2628388, 203.0690443, 67.8957093, 3.7107960, 0.0000000, 1995.0000000, 0.0000000, 1.5291218, 56.9120340, 193.1217413, 366.1417780, 489.7408266, 490.5070997, 372.4186837, 203.2407235, 67.7892264, 3.6984317, 0.0000000, 1996.0000000, 0.0000000, 1.5241473, 56.8244845, 193.2747113, 367.2897909, 492.1362555, 493.2776526, 374.3376761, 203.9437561, 67.8602728, 3.6943322, 0.0000000, 1997.0000000, 0.0000000, 1.5160320, 56.5912278, 192.8921799, 367.5449532, 493.7641585, 495.8943653, 376.6412993, 205.0865214, 68.1209163, 3.7009819, 0.0000000, 1998.0000000, 0.0000000, 1.5065554, 56.2562124, 192.0030903, 366.6996809, 494.0433843, 497.5959995, 378.7493033, 206.4223626, 68.5276757, 3.7180694, 0.0000000, 1999.0000000, 0.0000000, 1.4981329, 55.9013369, 190.8072087, 364.8893091, 492.7685019, 497.8166321, 380.0560748, 207.6039606, 68.9844424, 3.7419734, 0.0000000, 2000.0000000, 0.0000000, 1.4930089, 55.6199114, 189.6163301, 362.5787891, 490.2421715, 496.4429301, 380.1682743, 208.3001382, 69.3690666, 3.7665357, 0.0000000, 2001.0000000, 0.0000000, 1.4924272, 55.4825106, 188.7404910, 360.3979833, 487.1940901, 493.9161171, 379.1080217, 208.3459653, 69.5836223, 3.7854243, 0.0000000, 2002.0000000, 0.0000000, 1.4961618, 55.5093550, 188.3582144, 358.8543315, 484.4101255, 490.9658592, 377.2485091, 207.7897695, 69.5906651, 3.7945854, 0.0000000, 2003.0000000, 0.0000000, 1.5029736, 55.6785022, 188.5034392, 358.2222927, 482.4862538, 488.3116501, 375.1071905, 206.8252538, 69.4094620, 3.7928468, 0.0000000, 2004.0000000, 0.0000000, 1.5110587, 55.9389050, 189.0900481, 358.5392160, 481.7423633, 486.5010088, 373.1931923, 205.7169054, 69.1021624, 3.7817852, 0.0000000, 2005.0000000, 0.0000000, 1.5185052, 56.2252094, 189.9497727, 359.6442978, 482.2169479, 485.8336301, 371.8976165, 204.7244509, 68.7506726, 3.7648632, 0.0000000, 2006.0000000, 0.0000000, 1.5236790, 56.4717377, 190.8739429, 361.2401809, 483.7174028, 486.3672372, 371.4553636, 204.0589997, 68.4376890, 3.7464099, 0.0000000, 2007.0000000, 0.0000000, 1.5254041, 56.6201526, 191.6381031, 362.9308335, 485.8557528, 487.9367463, 371.9437893, 203.8713542, 68.2400738, 3.7312284, 0.0000000, 2008.0000000, 0.0000000, 1.5232854, 56.6317755, 192.0358119, 364.2537917, 488.0423651, 490.1005029, 373.2112131, 204.1996001, 68.2079522, 3.7233997, 0.0000000, 2009.0000000, 0.0000000, 1.5179954, 56.5046025, 191.9505348, 364.8141753, 489.6256642, 492.2196379, 374.8873334, 204.9492835, 68.3516175, 3.7253367, 0.0000000, 2010.0000000, 0.0000000, 1.5112200, 56.2790462, 191.4039546, 364.4091669, 490.0560589, 493.5744948, 376.4148071, 205.8769012, 68.6260435, 3.7365863, 0.0000000, 2011.0000000, 0.0000000, 1.5053335, 56.0351938, 190.5912761, 363.1784818, 489.1596830, 493.6504888, 377.2252525, 206.6440120, 68.9329748, 3.7532159, 0.0000000, 2012.0000000, 0.0000000, 1.5024543, 55.8624789, 189.8165184, 361.5922418, 487.2877534, 492.4284940, 377.0166810, 206.9645870, 69.1591163, 3.7691940, 0.0000000, 2013.0000000, 0.0000000, 1.5035251, 55.8198852, 189.3508766, 360.2176670, 485.1229895, 490.3631695, 375.8723498, 206.7256837, 69.2244760, 3.7789716, 0.0000000, 2014.0000000, 0.0000000, 1.5081878, 55.9214413, 189.3476271, 359.5096469, 483.3876903, 488.1489876, 374.1773042, 206.0052179, 69.1055570, 3.7792387, 0.0000000, 2015.0000000, 0.0000000, 1.5150106, 56.1367329, 189.8091437, 359.6811466, 482.6006205, 486.4500244, 372.4421112, 205.0199868, 68.8373647, 3.7698739, 0.0000000, 2016.0000000, 0.0000000, 1.5221427, 56.4097838, 190.6233163, 360.7078164, 482.9889903, 485.7206998, 371.1198673, 204.0228774, 68.4865507, 3.7530562, 0.0000000, 2017.0000000, 0.0000000, 1.5277491, 56.6747255, 191.6098771, 362.3933367, 484.5327966, 486.1954062, 370.5535069, 203.2556633, 68.1345760, 3.7325371, 0.0000000, 2018.0000000, 0.0000000, 1.5302723, 56.8649759, 192.5452061, 364.3999917, 486.9817978, 487.8767577, 370.9416450, 202.9164274, 67.8641608, 3.7129242, 0.0000000, 2019.0000000, 0.0000000, 1.5287731, 56.9260439, 193.1972908, 366.2856480, 489.8630019, 490.5064030, 372.2908008, 203.1207054, 67.7432622, 3.6987731, 0.0000000, 2020.0000000, 0.0000000, 1.5231808, 56.8288828, 193.3765869, 367.5875570, 492.5553236, 493.5963831, 374.4120326, 203.8871817, 67.8165321, 3.6939515, 0.0000000, 2021.0000000, 0.0000000, 1.5144430, 56.5802352, 192.9814809, 367.9000655, 494.3473809, 496.4223376, 376.8667747, 205.0879134, 68.0848907, 3.7004860, 0.0000000, 2022.0000000, 0.0000000, 1.5046093, 56.2357402, 192.0810500, 367.0776123, 494.7053760, 498.2254348, 379.0428010, 206.4435477, 68.4910459, 3.7172551, 0.0000000, 2023.0000000, 0.0000000, 1.4961559, 55.8835530, 190.9095218, 365.3349246, 493.5273427, 498.5189091, 380.3627568, 207.6012174, 68.9303955, 3.7399479, 0.0000000, 2024.0000000, 0.0000000, 1.4911389, 55.6140504, 189.7874546, 363.1897239, 491.2248863, 497.3176853, 380.5258820, 208.2670371, 69.2864822, 3.7623557, 0.0000000, 2025.0000000, 0.0000000, 1.4904287, 55.4855032, 188.9946956, 361.2473618, 488.5464097, 495.1330872, 379.6374388, 208.3277309, 69.4770128, 3.7787755, 0.0000000, 2026.0000000, 0.0000000, 1.4935000, 55.5056832, 188.6679603, 359.9497182, 486.2244713, 492.6897315, 378.1080873, 207.8729883, 69.4820149, 3.7861296, 0.0000000, 2027.0000000, 0.0000000, 1.4989749, 55.6441580, 188.8029563, 359.4916522, 484.7556180, 490.6318066, 376.4299506, 207.1046919, 69.3306930, 3.7840215, 0.0000000, 2028.0000000, 0.0000000, 1.5050964, 55.8476098, 189.2924480, 359.8528805, 484.3729741, 489.4247002, 375.0652542, 206.2774101, 69.0884616, 3.7745160, 0.0000000, 2029.0000000, 0.0000000, 1.5101202, 56.0527913, 189.9588414, 360.8286552, 485.0341416, 489.2792359, 374.3425274, 205.6258062, 68.8339272, 3.7611851, 0.0000000, 2030.0000000, 0.0000000, 1.5126676, 56.2000288, 190.5969012, 362.0965410, 486.4823635, 490.1735063, 374.4358935, 205.3331256, 68.6441329, 3.7482900, 0.0000000, 2031.0000000, 0.0000000, 1.5119034, 56.2411190, 190.9995732, 363.2539433, 488.2748075, 491.8571332, 375.3489787, 205.5120190, 68.5856417, 3.7402595, 0.0000000, 2032.0000000, 0.0000000, 1.5077993, 56.1508197, 190.9949113, 363.8645939, 489.7970677, 493.8135810, 376.8521429, 206.1563718, 68.6958846, 3.7406465, 0.0000000, 2033.0000000, 0.0000000, 1.5014085, 55.9437607, 190.5221480, 363.6101758, 490.4323064, 495.3624455, 378.4975049, 207.1159467, 68.9658459, 3.7508980, 0.0000000, 2034.0000000, 0.0000000, 1.4946420, 55.6743647, 189.6661537, 362.4104984, 489.7531215, 495.8294719, 379.6974624, 208.1029177, 69.3309027, 3.7694185, 0.0000000, 2035.0000000, 0.0000000, 1.4898614, 55.4290006, 188.6713178, 360.5391969, 487.7765296, 494.8502411, 379.9350317, 208.7676977, 69.6789579, 3.7912339, 0.0000000, 2036.0000000, 0.0000000, 1.4888634, 55.2904401, 187.8471689, 358.5386208, 485.0184903, 492.5969546, 379.0307611, 208.8605782, 69.8973712, 3.8098881, 0.0000000, 2037.0000000, 0.0000000, 1.4921759, 55.3043706, 187.4363448, 356.9715625, 482.2345132, 489.6664147, 377.1987088, 208.3309359, 69.9188685, 3.8201104, 0.0000000, 2038.0000000, 0.0000000, 1.4990710, 55.4704502, 187.5463557, 356.2293108, 480.1176556, 486.7943971, 374.9030480, 207.3118681, 69.7364973, 3.8192256, 0.0000000, 2039.0000000, 0.0000000, 1.5079375, 55.7497905, 188.1460064, 356.4620370, 479.1250277, 484.6287878, 372.6854028, 206.0566746, 69.3996365, 3.8078268, 0.0000000, 2040.0000000, 0.0000000, 1.5168285, 56.0809220, 189.0977319, 357.5886614, 479.4098177, 483.5710671, 370.9890924, 204.8324252, 68.9844893, 3.7886981, 0.0000000, 2041.0000000, 0.0000000, 1.5239101, 56.3963194, 190.2089692, 359.3777046, 480.8959352, 483.8039969, 370.1347502, 203.8840681, 68.5783993, 3.7660609, 0.0000000, 2042.0000000, 0.0000000, 1.5276651, 56.6292220, 191.2483870, 361.4619547, 483.2762494, 485.2655337, 370.2789791, 203.3980146, 68.2653169, 3.7448052, 0.0000000, 2043.0000000, 0.0000000, 1.5272675, 56.7279381, 191.9867261, 363.3884400, 486.0403386, 487.6418444, 371.3827707, 203.4708084, 68.1106873, 3.7295667, 0.0000000, 2044.0000000, 0.0000000, 1.5228307, 56.6692829, 192.2481029, 364.7020635, 488.5458247, 490.3901212, 373.1967252, 204.0857579, 68.1497442, 3.7239037, 0.0000000, 2045.0000000, 0.0000000, 1.5155108, 56.4685240, 191.9603979, 365.0451874, 490.1180444, 492.7795460, 375.2425859, 205.0795792, 68.3705569, 3.7292197, 0.0000000, 2046.0000000, 0.0000000, 1.5075018, 56.1890736, 191.2275050, 364.3476970, 490.3166699, 494.1100120, 376.9081889, 206.1474314, 68.7011528, 3.7434658, 0.0000000, 2047.0000000, 0.0000000, 1.5012237, 55.9207243, 190.3057554, 362.8991424, 489.1721950, 494.0317098, 377.6950922, 206.9520152, 69.0323471, 3.7617060, 0.0000000, 2048.0000000, 0.0000000, 1.4984580, 55.7465549, 189.5063691, 361.2390997, 487.1855972, 492.7004841, 377.4220436, 207.2518296, 69.2560188, 3.7777144, 0.0000000, 2049.0000000, 0.0000000, 1.4996815, 55.7111201, 189.0709335, 359.9290381, 485.1044440, 490.6992584, 376.2979654, 207.0020699, 69.3097983, 3.7865290, 0.0000000, 2050.0000000, 0.0000000, 1.5040538, 55.8094984, 189.0924853, 359.3366304, 483.5932329, 488.7385626, 374.7760948, 206.3416706, 69.1940341, 3.7861041, 0.0000000, 2051.0000000, 0.0000000, 1.5099840, 56.0009217, 189.5257291, 359.5754266, 483.0490299, 487.3942359, 373.3386501, 205.4961963, 68.9536317, 3.7770749, 0.0000000, 2052.0000000, 0.0000000, 1.5156614, 56.2268600, 190.2360188, 360.5613477, 483.6141616, 487.0494007, 372.4079865, 204.7200599, 68.6621504, 3.7622539, 0.0000000, 2053.0000000, 0.0000000, 1.5193648, 56.4209096, 191.0224707, 362.0300738, 485.1570752, 487.8271218, 372.2588838, 204.2339558, 68.4007751, 3.7457128, 0.0000000, 2054.0000000, 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