# 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 : 31 # 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, 223.0505663, 264.6983002, 328.9046950, 393.5843069, 444.5017474, 475.6878946, 484.7403832, 467.7410314, 420.4770961, 347.9928117, 272.0965103, 223.6053463, -2998.0000000, 222.2995515, 264.3937283, 329.3049946, 394.8741813, 446.5687389, 478.0904359, 486.8459719, 468.9702898, 420.5952493, 347.2558697, 271.0156794, 222.5210568, -2997.0000000, 221.2816616, 263.5167680, 328.8379801, 395.1601382, 447.7797723, 480.0763231, 489.1412149, 470.9459344, 421.7421651, 347.4693419, 270.5824690, 221.7675501, -2996.0000000, 220.3201818, 262.3772143, 327.7111010, 394.4213655, 447.8073273, 481.0413463, 490.8867614, 472.9966814, 423.4887376, 348.5000429, 270.8876186, 221.5630427, -2995.0000000, 219.7271726, 261.3785352, 326.3610960, 392.9904252, 446.7232431, 480.7082252, 491.4945186, 474.3904364, 425.1845025, 349.9396300, 271.7816790, 221.9472858, -2994.0000000, 219.6913664, 260.8721121, 325.2948281, 391.4370132, 444.9921421, 479.2626408, 490.7771983, 474.6169370, 426.1865018, 351.2350426, 272.9164757, 222.7637804, -2993.0000000, 220.2132583, 261.0361215, 324.9082835, 390.3560069, 443.2935465, 477.2847008, 489.0310716, 473.5955638, 426.1061088, 351.8870738, 273.8617035, 223.7081535, -2992.0000000, 221.1007409, 261.8098224, 325.3388681, 390.1339514, 442.2371751, 475.4870224, 486.8853262, 471.6898983, 424.9641482, 351.6582358, 274.2876068, 224.4642169, -2991.0000000, 222.0700114, 262.9596864, 326.4728194, 390.8653112, 442.1719613, 474.4369609, 485.0000685, 469.4682015, 423.0766095, 350.5770837, 274.0308913, 224.7857603, -2990.0000000, 222.8316271, 264.1690645, 328.0274389, 392.4042260, 443.1807160, 474.4773887, 483.9234420, 467.5427484, 420.9385156, 348.9003705, 273.1186612, 224.5486493, -2989.0000000, 223.1545890, 265.1091204, 329.6189009, 394.4124684, 445.0897319, 475.6823434, 483.9872649, 466.4225941, 419.0794426, 347.0205904, 271.7417458, 223.7719166, -2988.0000000, 222.9186197, 265.5151459, 330.8501757, 396.4391012, 447.5216233, 477.8701404, 485.2728516, 466.4323188, 417.9542392, 345.3647407, 270.1917955, 222.5972466, -2987.0000000, 222.1293799, 265.2350192, 331.3859347, 398.0037308, 449.9663163, 480.6489233, 487.6250855, 467.6930693, 417.8965216, 344.3390885, 268.8182549, 221.2686279, -2986.0000000, 220.9233502, 264.2626061, 331.0098059, 398.6565122, 451.8157636, 483.4078858, 490.6003139, 470.0413337, 419.0272989, 344.2450489, 267.9662631, 220.0990652, -2985.0000000, 219.5692833, 262.7904188, 329.7440403, 398.1519651, 452.5446793, 485.4495980, 493.5178201, 473.0005368, 421.1718428, 345.1737589, 267.8742361, 219.3814613, -2984.0000000, 218.3930287, 261.1616843, 327.8624876, 396.5500594, 451.8867606, 486.1866916, 495.6119444, 475.8511436, 423.8514821, 346.9505520, 268.6018749, 219.3143102, -2983.0000000, 217.7011359, 259.7979423, 325.8539164, 394.2638248, 449.9940701, 485.3862172, 496.2875986, 477.8168687, 426.3613419, 349.1194446, 269.9624791, 219.9089779, -2982.0000000, 217.6625632, 259.0473144, 324.2546550, 391.9351901, 447.4330294, 483.3296434, 495.4119408, 478.3912122, 428.0299058, 351.0900496, 271.5725953, 220.9756269, -2981.0000000, 218.2428251, 259.0520429, 323.4357656, 390.1643826, 444.9292451, 480.6722353, 493.3563864, 477.5442165, 428.4927446, 352.3737513, 273.0076237, 222.2113493, -2980.0000000, 219.2449186, 259.7378223, 323.5144556, 389.3209148, 443.0905034, 478.1417208, 490.7680651, 475.6407543, 427.7517018, 352.7091895, 273.9224885, 223.2933626, -2979.0000000, 220.3820883, 260.8678341, 324.3723942, 389.4984555, 442.2787778, 476.3389088, 488.3543901, 473.2911138, 426.1437529, 352.1273188, 274.1507686, 223.9742427, -2978.0000000, 221.3654825, 262.1241838, 325.7183968, 390.5328034, 442.5534436, 475.5880896, 486.6556385, 471.1057966, 424.1582375, 350.8737742, 273.7107689, 224.1294573, -2977.0000000, 221.9736738, 263.1972654, 327.1926939, 392.1055935, 443.7506504, 475.9651601, 486.0032689, 469.5916007, 422.3144539, 349.3198858, 272.7689290, 223.7593726, -2976.0000000, 222.0775599, 263.8265420, 328.4163056, 393.7919855, 445.5179129, 477.3074946, 486.4942072, 469.0885211, 421.0789059, 347.8944386, 271.6090356, 222.9941798, -2975.0000000, 221.6730074, 263.8563145, 329.0593319, 395.1218967, 447.3498810, 479.2143333, 487.9528171, 469.6952949, 420.7686301, 346.9922387, 270.5710395, 222.0703581, -2974.0000000, 220.8944904, 263.2917232, 328.9390771, 395.7010247, 448.6995963, 481.1186002, 489.9487229, 471.2355743, 421.4796625, 346.8880456, 269.9744522, 221.2755620, -2973.0000000, 219.9847937, 262.3028717, 328.0716486, 395.3062831, 449.0896954, 482.3755023, 491.8345427, 473.2381778, 423.0252255, 347.6588485, 270.0474978, 220.8948312, -2972.0000000, 219.2624120, 261.2286426, 326.7395521, 394.0327354, 448.3184649, 482.4732450, 492.8981072, 474.9907924, 424.8920089, 349.0790725, 270.8037554, 221.0894919, -2971.0000000, 219.0006196, 260.4596276, 325.4129855, 392.3086171, 446.6062121, 481.2966148, 492.6758410, 475.8135995, 426.4102958, 350.6791409, 272.0230226, 221.8337042, -2970.0000000, 219.3273362, 260.2942587, 324.5727214, 390.7323828, 444.5175527, 479.1893495, 491.1528072, 475.3288070, 426.9969678, 351.8996783, 273.3145346, 222.9146106, -2969.0000000, 220.1767037, 260.8329586, 324.5364537, 389.8470756, 442.7379919, 476.8119121, 488.7662322, 473.6128355, 426.3843121, 352.3009208, 274.2566090, 224.0071787, -2968.0000000, 221.3160196, 261.9532992, 325.3616268, 389.9569507, 441.8199040, 474.8724426, 486.2062868, 471.1388309, 424.7087374, 351.7269064, 274.5563358, 224.7991798, -2967.0000000, 222.4422291, 263.3790080, 326.8670340, 391.0713537, 442.0273918, 473.8792427, 484.1230509, 468.5208325, 422.3674484, 350.2863684, 274.1046205, 225.0711548, -2966.0000000, 223.2717917, 264.7793206, 328.7333610, 392.9866674, 443.3732069, 474.1091490, 483.0229722, 466.3694077, 419.8925181, 348.2903978, 272.9756112, 224.7291224, -2965.0000000, 223.5877275, 265.8220562, 330.5522093, 395.3182719, 445.6209419, 475.5682813, 483.1804340, 465.1633099, 417.8193533, 346.1648884, 271.4013772, 223.8276377, -2964.0000000, 223.2963608, 266.2570924, 331.9229710, 397.5899123, 448.3485287, 478.0184086, 484.6197608, 465.1847325, 416.5871624, 344.3487459, 269.7014897, 222.5403065, -2963.0000000, 222.4341110, 265.9572334, 332.5201976, 399.3073615, 451.0061384, 481.0069975, 487.1153553, 466.4898129, 416.4860500, 343.2342922, 268.2362012, 221.1365771, -2962.0000000, 221.1725098, 264.9579848, 332.1668143, 400.0441440, 452.9825606, 483.8907315, 490.1670337, 468.8475277, 417.5765475, 343.0848512, 267.3388782, 219.9385015, -2961.0000000, 219.8062409, 263.4949202, 330.9406627, 399.6085455, 453.7859739, 485.9714992, 493.0549468, 471.7113549, 419.6027979, 343.9228925, 267.2049018, 219.2206525, -2960.0000000, 218.6644915, 261.9402998, 329.1753410, 398.1459583, 453.2435241, 486.7391601, 495.0525820, 474.3518815, 422.0351204, 345.5058873, 267.8331057, 219.1365497, -2959.0000000, 218.0240575, 260.7052270, 327.3798834, 396.1292633, 451.6033857, 486.0753792, 495.6689640, 476.0561687, 424.1760984, 347.3405006, 268.9808694, 219.6408057, -2958.0000000, 217.9993237, 260.0877340, 326.0573257, 394.2025122, 449.4843544, 484.3655275, 494.9087630, 476.4527471, 425.4473206, 348.8702560, 270.2524830, 220.5066806, -2957.0000000, 218.5032138, 260.1628150, 325.5044472, 392.9030846, 447.5837823, 482.2900559, 493.2270433, 475.6353722, 425.6070416, 349.6887451, 271.2549312, 221.4254807, -2956.0000000, 219.3060624, 260.7972683, 325.7560356, 392.5077114, 446.4278793, 480.5308228, 491.2817263, 474.0419734, 424.7692237, 349.6415199, 271.7133168, 222.1058683, -2955.0000000, 220.1216713, 261.7242623, 326.6317370, 393.0225183, 446.2806338, 479.6007081, 489.7258335, 472.2818406, 423.3240403, 348.8399893, 271.5335997, 222.3482547, -2954.0000000, 220.6836038, 262.6193377, 327.7986728, 394.2082272, 447.1056875, 479.7266009, 489.0215680, 470.9271595, 421.7744615, 347.5853521, 270.8033095, 222.0892468, -2953.0000000, 220.8166568, 263.1969725, 328.8864522, 395.6951276, 448.6550319, 480.8849159, 489.4052243, 470.4134760, 420.6095736, 346.2641230, 269.7339373, 221.3839353, -2952.0000000, 220.4456659, 263.2394753, 329.5293346, 397.0268501, 450.5017430, 482.8131393, 490.8704897, 470.9943376, 420.2434081, 345.2952423, 268.6355417, 220.4109329, -2951.0000000, 219.6291680, 262.6602057, 329.4513610, 397.7444070, 452.0953038, 485.0193440, 493.1304088, 472.6641639, 420.9155117, 345.0334849, 267.8452257, 219.4333524, -2950.0000000, 218.5539847, 261.5406548, 328.5532626, 397.5088568, 452.8841295, 486.8656608, 495.6397324, 475.1223978, 422.6176819, 345.6854834, 267.6531925, 218.7433061, -2949.0000000, 217.5001894, 260.1275706, 326.9633023, 396.2141015, 452.4659866, 487.7079188, 497.6792938, 477.7845958, 425.0464829, 347.2347115, 268.2273189, 218.5963999, -2948.0000000, 216.7867430, 258.8010640, 325.0582018, 394.0915187, 450.7746551, 487.1157988, 498.5353175, 479.8657809, 427.5841838, 349.3566824, 269.5052940, 219.1012589, -2947.0000000, 216.6545344, 257.9494323, 323.3586430, 391.6868111, 448.1967745, 485.1380518, 497.8497529, 480.7086029, 429.5182484, 351.5113867, 271.1965107, 220.1695550, -2946.0000000, 217.1739198, 257.8217562, 322.3244032, 389.6337796, 445.4011581, 482.2700219, 495.7560893, 480.0316123, 430.2951615, 353.1217125, 272.8718190, 221.5428574, -2945.0000000, 218.2259580, 258.4562464, 322.2130108, 388.4442073, 443.0997857, 479.2647969, 492.8252224, 478.0383060, 429.7298997, 353.7812734, 274.1103709, 222.8792862, -2944.0000000, 219.5463191, 259.6797941, 323.0131787, 388.3515687, 441.8004054, 476.8369589, 489.8074169, 475.2899132, 428.0377920, 353.3830754, 274.6406506, 223.8704433, -2943.0000000, 220.8222551, 261.1892620, 324.4956438, 389.3015782, 441.7065768, 475.4617767, 487.3638565, 472.4509507, 425.6811022, 352.0899707, 274.3883676, 224.3165800, -2942.0000000, 221.7789744, 262.6490655, 326.3157968, 391.0420664, 442.7675438, 475.3569229, 485.9670514, 470.1323532, 423.2168649, 350.2443080, 273.4536958, 224.1434825, -2941.0000000, 222.2151413, 263.7367046, 328.0611906, 393.1625095, 444.6997075, 476.4732362, 485.8481989, 468.7967441, 421.1908892, 348.2955954, 272.0934703, 223.4283557, -2940.0000000, 222.0596268, 264.2243877, 329.3458200, 395.1809635, 447.0474834, 478.5166434, 486.9708885, 468.6800976, 420.0208440, 346.6823661, 270.6379327, 222.3605585, -2939.0000000, 221.3700223, 264.0129869, 329.8740119, 396.6206028, 449.2511162, 480.9934295, 489.0489365, 469.7805427, 419.9593788, 345.7831565, 269.4496626, 221.2212234, -2938.0000000, 220.3391801, 263.1735969, 329.5184585, 397.1055854, 450.7273375, 483.2465779, 491.5273030, 471.7921675, 420.9996801, 345.8173259, 268.8406518, 220.3265368, -2937.0000000, 219.2690525, 261.9678286, 328.4089318, 396.5175112, 451.0557101, 484.6152700, 493.6698713, 474.1067063, 422.8082676, 346.7424662, 268.9646819, 219.9286901, -2936.0000000, 218.4812956, 260.7802859, 326.9245418, 395.0889697, 450.1797177, 484.6985166, 494.8104339, 475.9868297, 424.7954463, 348.2399557, 269.7551104, 220.1312843, -2935.0000000, 218.2128938, 259.9933576, 325.5715366, 393.3380318, 448.4513455, 483.5216606, 494.5945750, 476.8006299, 426.2731341, 349.7771319, 270.9148494, 220.8356049, -2934.0000000, 218.5250653, 259.8499975, 324.8061524, 391.8947665, 446.5358200, 481.5867008, 493.1879875, 476.3264620, 426.7523113, 350.8178958, 272.0250349, 221.7728554, -2933.0000000, 219.2758626, 260.3544435, 324.8417952, 391.2184442, 445.0885723, 479.5988680, 491.1450371, 474.8009901, 426.1214729, 351.0332159, 272.7169545, 222.6254228, -2932.0000000, 220.2050760, 261.3208092, 325.6374602, 391.4956481, 444.5537295, 478.1977799, 489.1475093, 472.7513824, 424.6121041, 350.3656505, 272.7696574, 223.1199098, -2931.0000000, 221.0190597, 262.4500589, 326.9527509, 392.6471646, 445.0976395, 477.8103268, 487.8035522, 470.8027058, 422.6812931, 349.0077470, 272.1513848, 223.0922660, -2930.0000000, 221.4648589, 263.4094440, 328.4214401, 394.3758148, 446.6087622, 478.5855009, 487.5163686, 469.5092877, 420.8618950, 347.3194989, 271.0082742, 222.5223982, -2929.0000000, 221.3936410, 263.9199933, 329.6534922, 396.2637039, 448.7675979, 480.4168443, 488.4454971, 469.2564585, 419.6336623, 345.7145121, 269.5952123, 221.5080375, -2928.0000000, 220.7662275, 263.7881598, 330.2859070, 397.8289131, 451.0955349, 482.9744530, 490.5164308, 470.2453119, 419.3876791, 344.6213017, 268.2533397, 220.2670343, -2927.0000000, 219.6824982, 262.9650101, 330.0636223, 398.6022660, 452.9965401, 485.6942495, 493.3597026, 472.3955147, 420.3128116, 344.3763310, 267.3293373, 219.0898081, -2926.0000000, 218.3693535, 261.5820098, 328.9354021, 398.2709373, 453.9079697, 487.8895243, 496.3566468, 475.3282462, 422.3371646, 345.1491311, 267.1037866, 218.2803561, -2925.0000000, 217.1377435, 259.9376510, 327.0970261, 396.7930667, 453.4635459, 488.9075925, 498.7360959, 478.3804157, 425.0749726, 346.8572266, 267.7038418, 218.0768394, -2924.0000000, 216.3100298, 258.4409163, 324.9846325, 394.4830558, 451.6814433, 488.3766680, 499.8001319, 480.7408761, 427.8560773, 349.1177896, 269.0180398, 218.5523724, -2923.0000000, 216.1044045, 257.4748848, 323.1426290, 391.9469183, 449.0381044, 486.4423117, 499.2674110, 481.7906641, 429.9656841, 351.3600986, 270.7137248, 219.5752550, -2922.0000000, 216.5472389, 257.2453461, 321.9986995, 389.8140457, 446.2370901, 483.6717296, 497.3637389, 481.3368790, 430.9139586, 353.0372709, 272.3637867, 220.8710174, -2921.0000000, 217.4897498, 257.7464294, 321.7563256, 388.5454478, 443.9602004, 480.8213731, 494.6990608, 479.6471787, 430.5854535, 353.7983733, 273.5793837, 222.1083715, -2920.0000000, 218.6600506, 258.7772337, 322.3542189, 388.3081882, 442.6469996, 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449.3757988, 472.4959977, 474.0456905, 454.3074675, 411.6251056, 348.8238118, 280.5732127, 232.8289276, 1895.0000000, 228.8922082, 270.9976917, 338.0562207, 402.7686624, 448.2110848, 470.5395190, 471.7433005, 452.2650119, 410.3727100, 348.5463960, 281.0447293, 233.6999050, 1896.0000000, 230.0062300, 272.3118032, 339.3407343, 403.5678280, 448.0982692, 469.3667552, 469.7262272, 449.9327834, 408.3885102, 347.3935799, 280.7833714, 234.0935541, 1897.0000000, 230.8920586, 273.6888989, 341.0807573, 405.2330884, 449.1125151, 469.3105235, 468.5243443, 447.9053265, 406.1647707, 345.6340721, 279.8252736, 233.8826449, 1898.0000000, 231.3080731, 274.7835107, 342.8713128, 407.4086979, 451.0693568, 470.4330182, 468.4474071, 446.6629920, 404.2135737, 343.6638498, 278.3741562, 233.0935227, 1899.0000000, 231.1345422, 275.3270122, 344.3088938, 409.6421669, 453.5993997, 472.5610027, 469.5700305, 446.5039575, 402.9584445, 341.8940084, 276.7201409, 231.8657888, 1900.0000000, 230.3687963, 275.1531740, 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350.0609827, 280.5108852, 231.9096724, 1918.0000000, 227.3605715, 268.8989954, 335.7024010, 400.8983226, 447.6421633, 471.7268130, 474.5400068, 455.9107565, 413.7450913, 350.7136221, 281.7657352, 233.2868529, 1919.0000000, 228.7080010, 270.1274442, 336.4735460, 400.7382443, 446.2886927, 469.3338717, 471.6559473, 453.3093314, 412.1216709, 350.3248019, 282.3308035, 234.3561153, 1920.0000000, 230.0731885, 271.7256084, 338.0191556, 401.6805601, 446.1225835, 467.8950847, 469.2175719, 450.5189730, 409.7815500, 349.0064336, 282.0824797, 234.8725606, 1921.0000000, 231.1463734, 273.3366066, 339.9950269, 403.5047326, 447.1493217, 467.6824262, 467.7234809, 448.1445002, 407.2617209, 347.0821923, 281.1006289, 234.7358303, 1922.0000000, 231.6997470, 274.6163083, 341.9813921, 405.8204326, 449.1325787, 468.6994913, 467.4347706, 446.6440189, 405.0835304, 344.9777423, 279.6212096, 233.9967360, 1923.0000000, 231.6298121, 275.3036487, 343.5694765, 408.1524496, 451.6617501, 470.7193405, 468.3736022, 446.2807125, 403.6628203, 343.1211380, 277.9625098, 232.8240526, 1924.0000000, 230.9607576, 275.2567593, 344.4238758, 410.0130677, 454.2171371, 473.3339043, 470.3512556, 447.1258580, 403.2890153, 341.9038456, 276.4892813, 231.4860589, 1925.0000000, 229.8506127, 274.4873321, 344.3397980, 410.9595092, 456.1998843, 475.9403315, 472.9156065, 448.9807336, 404.0337277, 341.5930853, 275.5417695, 230.3081056, 1926.0000000, 228.5836346, 273.2049460, 343.3566271, 410.7639142, 457.1114003, 477.8796790, 475.4193672, 451.3738671, 405.6958628, 342.2475363, 275.3449559, 229.5878948, 1927.0000000, 227.4978687, 271.7706598, 341.7698957, 409.5082051, 456.7148031, 478.6114804, 477.1518000, 453.6177745, 407.7860192, 343.6547248, 275.9273327, 229.5119281, 1928.0000000, 226.9010296, 270.6197351, 340.0955862, 407.6401562, 455.2055894, 477.9671394, 477.6022075, 455.0102751, 409.6241480, 345.3309137, 277.0559860, 230.0556702, 1929.0000000, 226.9395855, 270.0912931, 338.8796349, 405.8277021, 453.1898582, 476.2928723, 476.7389865, 455.1621482, 410.6204563, 346.6976614, 278.3096406, 230.9800866, 1930.0000000, 227.5322194, 270.2840391, 338.4602192, 404.6535335, 451.3905674, 474.2662306, 475.0024545, 454.1608004, 410.5321076, 347.3344595, 279.2659441, 231.9489193, 1931.0000000, 228.4341072, 271.0637435, 338.8893722, 404.4274659, 450.3657911, 472.5835649, 473.0506607, 452.4471342, 409.4837996, 347.0879669, 279.6295478, 232.6394955, 1932.0000000, 229.3283703, 272.1349199, 339.9647093, 405.1466065, 450.3784061, 471.7520811, 471.5248648, 450.6275398, 407.8845377, 346.0977872, 279.3204232, 232.8483301, 1933.0000000, 229.9363024, 273.1555378, 341.3338327, 406.5578313, 451.3831739, 471.9828270, 470.8569508, 449.2413591, 406.2233850, 344.6736392, 278.4378165, 232.5129919, 1934.0000000, 230.0743154, 273.8242094, 342.6058662, 408.2757753, 453.1253255, 473.2445178, 471.2621855, 448.6930450, 404.9686394, 343.2052789, 277.2090630, 231.6993544, 1935.0000000, 229.6695279, 273.9182564, 343.4047227, 409.8381797, 455.1845992, 475.2858114, 472.7324787, 449.2143937, 404.5069925, 342.0998073, 275.9488250, 230.5919416, 1936.0000000, 228.7793295, 273.3417666, 343.4381028, 410.7736179, 457.0172488, 477.6407635, 475.0065858, 450.8054517, 405.0660447, 341.7026208, 274.9973460, 229.4594378, 1937.0000000, 227.5887175, 272.1645600, 342.5846985, 410.7212025, 458.0728520, 479.7092355, 477.5995964, 453.2191938, 406.6681402, 342.2370748, 274.6612222, 228.6072258, 1938.0000000, 226.3797854, 270.6195133, 340.9359187, 409.5167316, 457.8953121, 480.8300318, 479.8202680, 455.9211987, 409.0544636, 343.7200489, 275.1394097, 228.3213079, 1939.0000000, 225.4958365, 269.1012926, 338.8623662, 407.3515137, 456.3549334, 480.5228978, 480.9495183, 458.1616325, 411.6522091, 345.8631857, 276.4025973, 228.7460805, 1940.0000000, 225.2147228, 268.0344583, 336.9090246, 404.7585602, 453.7756216, 478.7473002, 480.5568540, 459.2507615, 413.7450423, 348.1308790, 278.1706185, 229.8172605, 1941.0000000, 225.6456395, 267.7230020, 335.6027446, 402.4264829, 450.8366863, 475.9571352, 478.7100912, 458.8531523, 414.7450997, 349.9182312, 279.9916892, 231.2691874, 1942.0000000, 226.6816555, 268.2376548, 335.2568565, 400.9339270, 448.2971976, 472.9086857, 475.9452617, 457.1274145, 414.4305365, 350.7837292, 281.4076782, 232.7314159, 1943.0000000, 228.0449724, 269.4069004, 335.8812291, 400.5546989, 446.7064939, 470.3347663, 473.0010999, 454.6115495, 413.0002951, 350.6085572, 282.1290263, 233.8762870, 1944.0000000, 229.4101249, 270.9216373, 337.2498045, 401.2502818, 446.2876631, 468.7154669, 470.5170215, 451.9306662, 410.8836636, 349.5361979, 282.0652058, 234.4862578, 1945.0000000, 230.4883765, 272.4367721, 339.0144547, 402.7759033, 447.0056163, 468.2772186, 468.9533244, 449.6667417, 408.6120515, 347.8996749, 281.3137483, 234.4823520, 1946.0000000, 231.0743035, 273.6289168, 340.7662845, 404.7328489, 448.5941657, 468.9794267, 468.5245814, 448.2399747, 406.6831148, 346.1163738, 280.1153399, 233.9294225, 1947.0000000, 231.0861303, 274.2651411, 342.1240080, 406.6606437, 450.6362183, 470.5688729, 469.2164555, 447.8783615, 405.4882978, 344.6017964, 278.7875939, 233.0054710, 1948.0000000, 230.5669667, 274.2328974, 342.7867994, 408.0969773, 452.6134778, 472.6102030, 470.7925599, 448.6009801, 405.2732021, 343.7205073, 277.6839092, 231.9806117, 1949.0000000, 229.6896988, 273.5757047, 342.5987152, 408.6518862, 453.9615856, 474.5001505, 472.7651534, 450.1535804, 406.0554953, 343.7010182, 277.1247701, 231.1758760, 1950.0000000, 228.7489272, 272.5342049, 341.6572895, 408.1753803, 454.2537659, 475.6148764, 474.4692646, 452.0016939, 407.5521078, 344.5288944, 277.2848353, 230.8606526, 1951.0000000, 228.0729077, 271.4839626, 340.3109253, 406.8464887, 453.3768454, 475.5260651, 475.2557259, 453.4521454, 409.2145967, 345.9131666, 278.1227168, 231.1689743, 1952.0000000, 227.9312241, 270.8390085, 339.0879581, 405.1796064, 451.6514028, 474.2233300, 474.7566704, 453.8830735, 410.3649924, 347.3160721, 279.3327651, 232.0062115, 1953.0000000, 228.4035586, 270.8729786, 338.4824210, 403.8319289, 449.7412282, 472.1840746, 473.1155061, 453.0686190, 410.5144341, 348.1851314, 280.4678623, 233.0842035, 1954.0000000, 229.3460786, 271.6064358, 338.7432382, 403.3069760, 448.3326011, 470.1192392, 470.8801900, 451.2473634, 409.5595674, 348.1837790, 281.1298898, 234.0515885, 1955.0000000, 230.4736433, 272.8397577, 339.8311688, 403.8080428, 447.8865217, 468.6696624, 468.7212614, 448.9421999, 407.7440560, 347.2642725, 281.0858075, 234.6081625, 1956.0000000, 231.4646096, 274.2484990, 341.4889812, 405.2537497, 448.5743373, 468.2591930, 467.2321952, 446.7680246, 405.5364357, 345.6443944, 280.3179499, 234.5844834, 1957.0000000, 232.0497158, 275.4775373, 343.3272892, 407.3316247, 450.2752802, 469.0189757, 466.7788159, 445.2335013, 403.4423364, 343.6848993, 278.9825388, 233.9614990, 1958.0000000, 232.0712231, 276.2329838, 344.9418727, 409.6225173, 452.6844310, 470.8573899, 467.5166311, 444.7000311, 401.9185846, 341.7979807, 277.3468506, 232.8433865, 1959.0000000, 231.4847847, 276.3059222, 345.9498814, 411.6354726, 455.3356503, 473.4663524, 469.3770592, 445.3471287, 401.3236372, 340.3944654, 275.7534143, 231.4523405, 1960.0000000, 230.3858175, 275.6322424, 346.0739245, 412.8900895, 457.6540930, 476.3334757, 472.0444148, 447.1210498, 401.8447488, 339.8046780, 274.5534506, 230.0854541, 1961.0000000, 228.9979405, 274.3245602, 345.2270869, 413.0364946, 459.0709579, 478.8143102, 474.9710392, 449.7036075, 403.4394046, 340.2086645, 274.0398669, 229.0601538, 1962.0000000, 227.6362630, 272.6682585, 343.5651256, 411.9695503, 459.1673390, 480.2547405, 477.4406418, 452.5071202, 405.7796703, 341.5589002, 274.3689146, 228.6456351, 1963.0000000, 226.6511440, 271.0918571, 341.5205184, 409.9599585, 457.8915678, 480.2334587, 478.7612996, 454.7694591, 408.2430576, 343.4976454, 275.4450395, 228.9366609, 1964.0000000, 226.2898930, 270.0128488, 339.6653302, 407.6066686, 455.6645222, 478.8218873, 478.6097342, 455.8800672, 410.1447054, 345.4712059, 276.9408896, 229.8133454, 1965.0000000, 226.6051768, 269.6812663, 338.4862191, 405.5873158, 453.1940041, 476.5442979, 477.1586864, 455.6209063, 410.9932717, 346.9243360, 278.4062121, 230.9805080, 1966.0000000, 227.4407496, 270.1011114, 338.2190821, 404.4083048, 451.1907633, 474.1483519, 474.9858833, 454.2411145, 410.6819069, 347.5155079, 279.4414294, 232.0854705, 1967.0000000, 228.5055479, 271.0586318, 338.8036758, 404.2549177, 450.1130903, 472.2909933, 472.7876969, 452.2857919, 409.4676874, 347.2085302, 279.8289090, 232.8447431, 1968.0000000, 229.4913043, 272.2340461, 339.9718135, 405.0182042, 450.0962571, 471.3610948, 471.1260851, 450.3385052, 407.7880230, 346.1988799, 279.5455143, 233.0998853, 1969.0000000, 230.1521226, 273.3043947, 341.3683520, 406.4133898, 451.0374744, 471.5003314, 470.3728273, 448.9057568, 406.1338816, 344.8239747, 278.7266587, 232.8212643, 1970.0000000, 230.3304548, 273.9841007, 342.5986945, 408.0227652, 452.6204827, 472.5976794, 470.6640820, 448.3344821, 404.9507630, 343.4849463, 277.6329353, 232.1163902, 1971.0000000, 229.9988463, 274.0976030, 343.3251306, 409.3961289, 454.3982102, 474.3380006, 471.9059541, 448.7703860, 404.5607609, 342.5567846, 276.5761417, 231.1864361, 1972.0000000, 229.2458302, 273.5948438, 343.3101782, 410.1086682, 455.8451566, 476.2341854, 473.7816478, 450.1430427, 405.1297888, 342.3487658, 275.8875431, 230.3111224, 1973.0000000, 228.2836359, 272.5907038, 342.4923524, 409.8575435, 456.4417863, 477.6692388, 475.7379983, 452.1040609, 406.5784632, 343.0104824, 275.8381546, 229.7935260, 1974.0000000, 227.4209607, 271.3800862, 341.0675345, 408.6142350, 455.8636790, 478.0643198, 477.0849222, 454.0385378, 408.5183379, 344.4282506, 276.5286637, 229.8586070, 1975.0000000, 226.9708863, 270.3633925, 339.4669002, 406.6987752, 454.1641899, 477.1316714, 477.2459653, 455.2456090, 410.3321292, 346.2164172, 277.8274839, 230.5672215, 1976.0000000, 227.1465060, 269.9212400, 338.2316331, 404.7075969, 451.8114190, 475.0369156, 476.0047631, 455.1888111, 411.3507134, 347.7910007, 279.3601608, 231.7533011, 1977.0000000, 227.9559548, 270.2569431, 337.8048638, 403.2979306, 449.5427618, 472.3989788, 473.6780373, 453.7955267, 411.1784956, 348.6252282, 280.6583689, 233.0836609, 1978.0000000, 229.1941690, 271.3118423, 338.3457140, 402.8974886, 448.0144567, 469.9651650, 470.9119279, 451.4328498, 409.8265599, 348.4523872, 281.3473182, 234.1984797, 1979.0000000, 230.5457287, 272.8333262, 339.7397105, 403.6249045, 447.6178673, 468.3476192, 468.4033981, 448.6981110, 407.6327006, 347.3046248, 281.2413255, 234.8153332, 1980.0000000, 231.6846249, 274.4711843, 341.6793306, 405.3278533, 448.4469329, 467.9063845, 466.7148198, 446.2172768, 405.1105662, 345.4548714, 280.3662878, 234.7899384, 1981.0000000, 232.3509500, 275.8633409, 343.7490630, 407.6488988, 450.3242440, 468.7170848, 466.1730229, 444.4890565, 402.7870678, 343.3045443, 278.9200680, 234.1348135, 1982.0000000, 232.4072256, 276.7232513, 345.5341503, 410.1376562, 452.8957769, 470.6298618, 466.8788952, 443.8376095, 401.1079560, 341.2792076, 277.1956230, 232.9814636, 1983.0000000, 231.8328528, 276.8593962, 346.6566454, 412.2898073, 455.6629801, 473.2903371, 468.7133303, 444.4005110, 400.4097382, 339.7910321, 275.5549149, 231.5790104, 1984.0000000, 230.7538407, 276.2392675, 346.8644356, 413.6330039, 458.0345160, 476.1450888, 471.3031164, 446.0627130, 400.8297428, 339.1428735, 274.3447550, 230.2376473, 1985.0000000, 229.4193546, 275.0128383, 346.1147800, 413.8555647, 459.4592807, 478.5379904, 474.0592972, 448.4450274, 402.2621544, 339.4673937, 273.8339138, 229.2720914, 1986.0000000, 228.1605177, 273.5029305, 344.6238802, 412.9269251, 459.5879582, 479.8584434, 476.2679070, 450.9197689, 404.3108636, 340.6446839, 274.1224912, 228.9163686, 1987.0000000, 227.3117661, 272.1447329, 342.8626711, 411.1917712, 458.4681263, 479.7860946, 477.3116423, 452.7510000, 406.3300744, 342.2614227, 275.0524744, 229.2115115, 1988.0000000, 227.0774020, 271.3264727, 341.4005976, 409.2889396, 456.6089595, 478.5175317, 477.0010454, 453.4350659, 407.6852878, 343.7565541, 276.2528675, 229.9801469, 1989.0000000, 227.4460429, 271.2281646, 340.6585169, 407.8560223, 454.7261645, 476.6443800, 475.6279301, 452.8938904, 408.0030274, 344.6392835, 277.2846804, 230.9037097, 1990.0000000, 228.2153198, 271.7862489, 340.7883995, 407.3159971, 453.4716028, 474.9028533, 473.8191988, 451.4787503, 407.2990156, 344.6684933, 277.8027272, 231.6415668, 1991.0000000, 229.0740141, 272.7360579, 341.6493024, 407.7546883, 453.2052429, 473.8758560, 472.2428201, 449.7642400, 405.9085170, 343.9020998, 277.6642242, 231.9523175, 1992.0000000, 229.7260946, 273.7399578, 342.9226086, 408.9857939, 453.9728318, 473.8685977, 471.4016615, 448.3168838, 404.3011508, 342.6015122, 276.9158309, 231.7305984, 1993.0000000, 229.9564839, 274.4787551, 344.2220928, 410.6593649, 455.5845959, 474.9310623, 471.5871775, 447.5906618, 402.9559582, 341.1336222, 275.7456517, 231.0012670, 1994.0000000, 229.6533002, 274.6947790, 345.1498738, 412.3175360, 457.6573598, 476.8755025, 472.8642080, 447.8783254, 402.2925500, 339.9074310, 274.4496772, 229.9207195, 1995.0000000, 228.8409471, 274.2569700, 345.3859548, 413.4843693, 459.6771712, 479.2976511, 475.0488999, 449.2499397, 402.5826206, 339.2803185, 273.3536178, 228.7265091, 1996.0000000, 227.6605046, 273.1774013, 344.7449052, 413.7496591, 461.0830177, 481.6362749, 477.7356281, 451.5535555, 403.9308274, 339.5271453, 272.7837797, 227.7198106, 1997.0000000, 226.3700614, 271.6415252, 343.2465659, 412.8683259, 461.3583316, 483.2185457, 480.2786351, 454.3396184, 406.1698418, 340.7345661, 272.9772015, 227.1981766, 1998.0000000, 225.3019489, 270.0048349, 341.1843141, 410.9199043, 460.2538431, 483.4782365, 481.9399620, 456.9109613, 408.8225333, 342.7129077, 273.9806926, 227.3558352, 1999.0000000, 224.7628973, 268.6959960, 339.0667774, 408.3454017, 457.9515095, 482.2181337, 482.1691056, 458.5330324, 411.2040457, 345.0012247, 275.5945202, 228.1980297, 2000.0000000, 224.9226762, 268.0723157, 337.4523270, 405.8162643, 455.0429902, 479.7381180, 480.8528917, 458.7209659, 412.6505585, 346.9915967, 277.4058491, 229.5140076, 2001.0000000, 225.7395662, 268.2842217, 336.7442405, 403.9891541, 452.3196101, 476.7542557, 478.4157130, 457.4884022, 412.8178489, 348.1761450, 278.9422181, 230.9498669, 2002.0000000, 226.9723608, 269.2184999, 337.0340987, 403.2324434, 450.4124528, 474.0352714, 475.5629977, 455.2759786, 411.7829940, 348.3374633, 279.8596630, 232.1602979, 2003.0000000, 228.3037464, 270.6000978, 338.1614687, 403.6039927, 449.6573663, 472.1625745, 472.9919354, 452.7039604, 409.9161061, 347.5408682, 280.0032780, 232.8870362, 2004.0000000, 229.4230931, 272.0797724, 339.7973449, 404.9066082, 450.0921599, 471.4466989, 471.2342309, 450.3878840, 407.7352010, 346.0740581, 279.4202236, 233.0110478, 2005.0000000, 230.0969672, 273.3190120, 341.5366668, 406.7711262, 451.5072115, 471.9227462, 470.5820991, 448.8045388, 405.7562729, 344.3358884, 278.3139873, 232.5584462, 2006.0000000, 230.2087462, 274.0563981, 342.9838356, 408.7467079, 453.5236113, 473.3999477, 471.0935079, 448.2442111, 404.4042071, 342.7408307, 276.9762070, 231.6698857, 2007.0000000, 229.7589164, 274.1337969, 343.7987261, 410.3540603, 455.6412471, 475.4968074, 472.6105858, 448.8082551, 403.9884289, 341.6844692, 275.7606046, 230.5955935, 2008.0000000, 228.8863831, 273.5476385, 343.7716217, 411.1593416, 457.2808298, 477.6354140, 474.7071918, 450.3218446, 404.5978245, 341.4382161, 274.9980980, 229.6421974, 2009.0000000, 227.8509912, 272.4806856, 342.9203801, 410.9271198, 457.9528489, 479.1786965, 476.7652771, 452.3446332, 406.0589566, 342.0798504, 274.9210855, 229.1039677, 2010.0000000, 226.9783269, 271.2735855, 341.5165977, 409.7203605, 457.4130899, 479.5911046, 478.0870868, 454.2063290, 407.8996298, 343.4108380, 275.5660805, 229.1689987, 2011.0000000, 226.5709473, 270.3490804, 340.0582693, 407.9698846, 455.8482493, 478.7060461, 478.1718791, 455.2168002, 409.4510357, 344.9566516, 276.7067060, 229.8157521, 2012.0000000, 226.7742818, 270.0399041, 339.0792205, 406.3295152, 453.8553761, 476.8704846, 476.9980270, 455.0014564, 410.1369621, 346.1487342, 277.9279370, 230.8091072, 2013.0000000, 227.5092580, 270.4443320, 338.9127601, 405.3724889, 452.1463313, 474.7540402, 475.0035112, 453.6495397, 409.7172349, 346.5670187, 278.8059895, 231.8113622, 2014.0000000, 228.5307589, 271.4295809, 339.6142170, 405.4136337, 451.2863153, 473.0630945, 472.8600718, 451.6177350, 408.3296573, 346.0642954, 279.0443687, 232.4943967, 2015.0000000, 229.5145039, 272.6917055, 340.9729198, 406.4434569, 451.5339387, 472.3033968, 471.2115381, 449.5198482, 406.3931817, 344.7882261, 278.5662009, 232.6532967, 2016.0000000, 230.1774935, 273.8834159, 342.6331419, 408.2101878, 452.8500309, 472.6948535, 470.4995660, 447.9048813, 404.4056708, 343.0545185, 277.4715154, 232.2207816, 2017.0000000, 230.3264335, 274.6897425, 344.1900988, 410.3200817, 454.9807927, 474.2154059, 470.9531089, 447.1919037, 402.8490546, 341.2638566, 275.9935460, 231.2625603, 2018.0000000, 229.8813041, 274.8728311, 345.2467007, 412.2916267, 457.4969953, 476.6178680, 472.5767994, 447.6277308, 402.1236407, 339.8345121, 274.4557415, 229.9674962, 2019.0000000, 228.8978553, 274.3267768, 345.4916796, 413.6319316, 459.8417540, 479.4376836, 475.1223981, 449.2284491, 402.4697211, 339.1204041, 273.2028300, 228.6052394, 2020.0000000, 227.5566030, 273.1074500, 344.7770431, 413.9457094, 461.4367422, 482.0663706, 478.1188079, 451.7741542, 403.9378832, 339.3664857, 272.5561668, 227.4911041, 2021.0000000, 226.1454336, 271.4452483, 343.1759348, 413.0318536, 461.7806434, 483.8086789, 480.8650357, 454.7422817, 406.2889040, 340.6051771, 272.7243903, 226.9176296, 2022.0000000, 225.0130165, 269.7372356, 341.0512851, 411.0561896, 460.7029630, 484.1451042, 482.6249614, 457.3956164, 408.9792184, 342.5764216, 273.6965137, 227.0403870, 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412.4558415, 346.9189524, 277.3697999, 229.4437395, 2035.0000000, 225.5813932, 268.0194372, 336.4394233, 403.8078061, 452.4602673, 477.3480167, 479.4304559, 458.6862385, 413.8308010, 348.7145026, 278.9633119, 230.5707024, 2036.0000000, 226.2440806, 268.1220140, 335.7084629, 402.0844997, 449.9604991, 474.6476699, 477.2573177, 457.6389162, 414.0872950, 349.9123488, 280.4692170, 231.9558195, 2037.0000000, 227.4119909, 268.9774510, 335.9165868, 401.2645299, 448.0228147, 471.9282558, 474.4231766, 455.4593279, 413.1063686, 350.1499281, 281.4701872, 233.2393543, 2038.0000000, 228.7995753, 270.3904747, 337.0323214, 401.5639033, 447.1311637, 469.8669197, 471.6404464, 452.7011545, 411.1353647, 349.3599302, 281.7075174, 234.1015673, 2039.0000000, 230.0729235, 272.0300341, 338.7953319, 402.9016678, 447.4649758, 468.9087675, 469.5378307, 450.0176039, 408.6672648, 347.7615706, 281.1499090, 234.3577306, 2040.0000000, 230.9521905, 273.5366928, 340.8185568, 404.9724044, 448.9141032, 469.2011743, 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