# 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 : 90 # 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, 0.0000000, -0.0003409, 133.0314881, 364.9944975, 509.5909447, 528.8202606, 406.4154890, 162.1672480, -0.0374047, 0.0000000, 0.0000000, -2998.0000000, 0.0000000, 0.0000000, -0.0003419, 133.5034016, 366.7035491, 512.1623162, 531.1219596, 407.5161713, 162.2770450, -0.0373996, 0.0000000, 0.0000000, -2997.0000000, 0.0000000, 0.0000000, -0.0003420, 133.6432312, 367.7214382, 514.2938695, 533.6253686, 409.2507280, 162.7706425, -0.0374957, 0.0000000, 0.0000000, -2996.0000000, 0.0000000, 0.0000000, -0.0003413, 133.4296184, 367.7705677, 515.3360381, 535.5241963, 411.0321895, 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0.0000000, 137.5596327, 367.9199583, 497.3831872, 503.4396206, 386.6042360, 168.2833692, 3.0466331, 0.0000000, 0.0000000, 1955.0000000, 0.0000000, 0.0000000, 0.0000000, 137.6857600, 367.5245524, 495.8394723, 501.1322491, 384.6233142, 167.5071132, 3.0355304, 0.0000000, 0.0000000, 1956.0000000, 0.0000000, 0.0000000, 0.0000000, 138.1433077, 368.0589061, 495.3924461, 499.5450809, 382.7699946, 166.5935572, 3.0194795, 0.0000000, 0.0000000, 1957.0000000, 0.0000000, 0.0000000, 0.0000000, 138.8351214, 369.4311289, 496.1834925, 499.0674666, 381.4771126, 165.7514491, 3.0020295, 0.0000000, 0.0000000, 1958.0000000, 0.0000000, 0.0000000, 0.0000000, 139.6238212, 371.3968195, 498.1181851, 499.8636123, 381.0491755, 165.1644560, 2.9868661, 0.0000000, 0.0000000, 1959.0000000, 0.0000000, 0.0000000, 0.0000000, 140.3429291, 373.5773294, 500.8728255, 501.8579941, 381.6334433, 164.9717130, 2.9772815, 0.0000000, 0.0000000, 1960.0000000, 0.0000000, 0.0000000, 0.0000000, 140.8235661, 375.5015927, 503.9068135, 504.7110568, 383.1765878, 165.2392801, 2.9756223, 0.0000000, 0.0000000, 1961.0000000, 0.0000000, 0.0000000, 0.0000000, 140.9352915, 376.6992907, 506.5385769, 507.8358766, 385.3992099, 165.9371105, 2.9826747, 0.0000000, 0.0000000, 1962.0000000, 0.0000000, 0.0000000, 0.0000000, 140.6270344, 376.8186932, 508.0745372, 510.4663884, 387.7930311, 166.9184170, 2.9971291, 0.0000000, 0.0000000, 1963.0000000, 0.0000000, 0.0000000, 0.0000000, 139.9760585, 375.8064259, 508.0654693, 511.8644961, 389.7053953, 167.9204671, 3.0150957, 0.0000000, 0.0000000, 1964.0000000, 0.0000000, 0.0000000, 0.0000000, 139.1787832, 373.9986796, 506.5828062, 511.6877207, 390.6195915, 168.6640984, 3.0314279, 0.0000000, 0.0000000, 1965.0000000, 0.0000000, 0.0000000, 0.0000000, 138.4681129, 371.9725635, 504.1782071, 510.1241298, 390.3590410, 168.9588646, 3.0415933, 0.0000000, 0.0000000, 1966.0000000, 0.0000000, 0.0000000, 0.0000000, 138.0265197, 370.3138472, 501.6418651, 507.7935756, 389.1469403, 168.7768640, 3.0434262, 0.0000000, 0.0000000, 1967.0000000, 0.0000000, 0.0000000, 0.0000000, 137.9301191, 369.4052070, 499.6700498, 505.4409586, 387.4558078, 168.2374616, 3.0375667, 0.0000000, 0.0000000, 1968.0000000, 0.0000000, 0.0000000, 0.0000000, 138.1534732, 369.3652473, 498.6764709, 503.6660777, 385.7863311, 167.5279653, 3.0264836, 0.0000000, 0.0000000, 1969.0000000, 0.0000000, 0.0000000, 0.0000000, 138.6081869, 370.1165336, 498.8135843, 502.8646811, 384.5697202, 166.8516918, 3.0133145, 0.0000000, 0.0000000, 1970.0000000, 0.0000000, 0.0000000, 0.0000000, 139.1567237, 371.4050046, 499.9664198, 503.1802325, 384.0979522, 166.3875792, 3.0018165, 0.0000000, 0.0000000, 1971.0000000, 0.0000000, 0.0000000, 0.0000000, 139.6454892, 372.8668229, 501.8035496, 504.5102697, 384.4894632, 166.2601446, 2.9950793, 0.0000000, 0.0000000, 1972.0000000, 0.0000000, 0.0000000, 0.0000000, 139.9244233, 374.0707915, 503.8108520, 506.5142817, 385.6769735, 166.5267661, 2.9952464, 0.0000000, 0.0000000, 1973.0000000, 0.0000000, 0.0000000, 0.0000000, 139.8795708, 374.5865845, 505.3354830, 508.5997407, 387.3556753, 167.1424399, 3.0028404, 0.0000000, 0.0000000, 1974.0000000, 0.0000000, 0.0000000, 0.0000000, 139.4870809, 374.1398285, 505.7631123, 510.0291750, 388.9954641, 167.9368306, 3.0160012, 0.0000000, 0.0000000, 1975.0000000, 0.0000000, 0.0000000, 0.0000000, 138.8437452, 372.7645441, 504.7858693, 510.1882936, 389.9978068, 168.6516871, 3.0306944, 0.0000000, 0.0000000, 1976.0000000, 0.0000000, 0.0000000, 0.0000000, 138.1472531, 370.8371939, 502.5751930, 508.8490468, 389.9108468, 169.0171229, 3.0416730, 0.0000000, 0.0000000, 1977.0000000, 0.0000000, 0.0000000, 0.0000000, 137.6256193, 368.9609522, 499.7835080, 506.3531284, 388.6830751, 168.8847231, 3.0448639, 0.0000000, 0.0000000, 1978.0000000, 0.0000000, 0.0000000, 0.0000000, 137.4354757, 367.6781654, 497.2012979, 503.3929164, 386.6377232, 168.2755414, 3.0388935, 0.0000000, 0.0000000, 1979.0000000, 0.0000000, 0.0000000, 0.0000000, 137.6302845, 367.3170054, 495.4777803, 500.7134110, 384.2906396, 167.3412673, 3.0250596, 0.0000000, 0.0000000, 1980.0000000, 0.0000000, 0.0000000, 0.0000000, 138.1700225, 367.9624440, 494.9963662, 498.9144856, 382.1774500, 166.2988679, 3.0064794, 0.0000000, 0.0000000, 1981.0000000, 0.0000000, 0.0000000, 0.0000000, 138.9416820, 369.4760289, 495.8397867, 498.3435522, 380.7214720, 165.3643096, 2.9870167, 0.0000000, 0.0000000, 1982.0000000, 0.0000000, 0.0000000, 0.0000000, 139.7963932, 371.5727407, 497.8519901, 499.1063096, 380.1946192, 164.7152612, 2.9703299, 0.0000000, 0.0000000, 1983.0000000, 0.0000000, 0.0000000, 0.0000000, 140.5621627, 373.8468598, 500.6602124, 501.0732165, 380.7078372, 164.4807722, 2.9596756, 0.0000000, 0.0000000, 1984.0000000, 0.0000000, 0.0000000, 0.0000000, 141.0716693, 375.8130339, 503.6802436, 503.8433826, 382.1553592, 164.7057798, 2.9570435, 0.0000000, 0.0000000, 1985.0000000, 0.0000000, 0.0000000, 0.0000000, 141.2065053, 377.0146329, 506.2178799, 506.7860490, 384.2059716, 165.3342104, 2.9627836, 0.0000000, 0.0000000, 1986.0000000, 0.0000000, 0.0000000, 0.0000000, 140.9408001, 377.1563874, 507.6252264, 509.1381462, 386.3185034, 166.1926658, 2.9749797, 0.0000000, 0.0000000, 1987.0000000, 0.0000000, 0.0000000, 0.0000000, 140.3782500, 376.2666346, 507.5597454, 510.2417828, 387.8643026, 167.0112883, 2.9893859, 0.0000000, 0.0000000, 1988.0000000, 0.0000000, 0.0000000, 0.0000000, 139.7310807, 374.7552104, 506.2255238, 509.8976466, 388.4194003, 167.5344577, 3.0010111, 0.0000000, 0.0000000, 1989.0000000, 0.0000000, 0.0000000, 0.0000000, 139.2208050, 373.2073918, 504.2460515, 508.4207089, 387.9269573, 167.6216260, 3.0060634, 0.0000000, 0.0000000, 1990.0000000, 0.0000000, 0.0000000, 0.0000000, 139.0026538, 372.1618698, 502.3999687, 506.4827516, 386.6962133, 167.2945229, 3.0033215, 0.0000000, 0.0000000, 1991.0000000, 0.0000000, 0.0000000, 0.0000000, 139.1190332, 371.9212264, 501.3055627, 504.7977357, 385.2231656, 166.7023546, 2.9941784, 0.0000000, 0.0000000, 1992.0000000, 0.0000000, 0.0000000, 0.0000000, 139.5175936, 372.5306876, 501.2881897, 503.9019140, 383.9924352, 166.0431462, 2.9815458, 0.0000000, 0.0000000, 1993.0000000, 0.0000000, 0.0000000, 0.0000000, 140.0866615, 373.8412150, 502.4033380, 504.1049559, 383.3892018, 165.5130461, 2.9688996, 0.0000000, 0.0000000, 1994.0000000, 0.0000000, 0.0000000, 0.0000000, 140.6734836, 375.5434261, 504.4548817, 505.4739761, 383.6584793, 165.2788749, 2.9597419, 0.0000000, 0.0000000, 1995.0000000, 0.0000000, 0.0000000, 0.0000000, 141.1134816, 377.2177095, 507.0170124, 507.8103166, 384.8533944, 165.4431809, 2.9568066, 0.0000000, 0.0000000, 1996.0000000, 0.0000000, 0.0000000, 0.0000000, 141.2589561, 378.4023466, 509.4969428, 510.6786041, 386.8366823, 166.0373865, 2.9618575, 0.0000000, 0.0000000, 1997.0000000, 0.0000000, 0.0000000, 0.0000000, 141.0130730, 378.6675765, 511.1822721, 513.3876244, 389.2170171, 166.9799981, 2.9748120, 0.0000000, 0.0000000, 1998.0000000, 0.0000000, 0.0000000, 0.0000000, 140.3874744, 377.7989432, 511.4713478, 515.1492857, 391.3946919, 168.0645986, 2.9931387, 0.0000000, 0.0000000, 1999.0000000, 0.0000000, 0.0000000, 0.0000000, 139.5209724, 375.9352666, 510.1514924, 515.3777014, 392.7439556, 169.0068739, 3.0122379, 0.0000000, 0.0000000, 2000.0000000, 0.0000000, 0.0000000, 0.0000000, 138.6393581, 373.5551771, 507.5360427, 513.9555405, 392.8585695, 169.5409730, 3.0267632, 0.0000000, 0.0000000, 2001.0000000, 0.0000000, 0.0000000, 0.0000000, 137.9730991, 371.3075903, 504.3804367, 511.3395911, 391.7617031, 169.5411313, 3.0329284, 0.0000000, 0.0000000, 2002.0000000, 0.0000000, 0.0000000, 0.0000000, 137.6601789, 369.7156218, 501.4982645, 508.2852594, 389.8392441, 169.0557957, 3.0298108, 0.0000000, 0.0000000, 2003.0000000, 0.0000000, 0.0000000, 0.0000000, 137.7334235, 369.0624909, 499.5065259, 505.5374199, 387.6260321, 168.2493108, 3.0189676, 0.0000000, 0.0000000, 2004.0000000, 0.0000000, 0.0000000, 0.0000000, 138.1368361, 369.3871440, 498.7363938, 503.6629061, 385.6481701, 167.3399025, 3.0036068, 0.0000000, 0.0000000, 2005.0000000, 0.0000000, 0.0000000, 0.0000000, 138.7522555, 370.5243054, 499.2277200, 502.9719849, 384.3097095, 166.5383218, 2.9874994, 0.0000000, 0.0000000, 2006.0000000, 0.0000000, 0.0000000, 0.0000000, 139.4293696, 372.1678990, 500.7811052, 503.5244156, 383.8532318, 166.0131757, 2.9741864, 0.0000000, 0.0000000, 2007.0000000, 0.0000000, 0.0000000, 0.0000000, 140.0034317, 373.9100457, 502.9948880, 505.1492910, 384.3584852, 165.8820316, 2.9667250, 0.0000000, 0.0000000, 2008.0000000, 0.0000000, 0.0000000, 0.0000000, 140.3191278, 375.2742045, 505.2586357, 507.3893767, 385.6685284, 166.1693384, 2.9667977, 0.0000000, 0.0000000, 2009.0000000, 0.0000000, 0.0000000, 0.0000000, 140.2836545, 375.8532106, 506.8977874, 509.5832666, 387.4005367, 166.7915325, 2.9742453, 0.0000000, 0.0000000, 2010.0000000, 0.0000000, 0.0000000, 0.0000000, 139.9038975, 375.4375665, 507.3433649, 510.9859178, 388.9784995, 167.5453995, 2.9865129, 0.0000000, 0.0000000, 2011.0000000, 0.0000000, 0.0000000, 0.0000000, 139.3155586, 374.1706429, 506.4153683, 511.0645925, 389.8151518, 168.1546008, 2.9989700, 0.0000000, 0.0000000, 2012.0000000, 0.0000000, 0.0000000, 0.0000000, 138.7392680, 372.5364516, 504.4774041, 509.7994904, 389.5986620, 168.3909364, 3.0067916, 0.0000000, 0.0000000, 2013.0000000, 0.0000000, 0.0000000, 0.0000000, 138.3772511, 371.1194096, 502.2362756, 507.6613091, 388.4153346, 168.1704631, 3.0069931, 0.0000000, 0.0000000, 2014.0000000, 0.0000000, 0.0000000, 0.0000000, 138.3487637, 370.3884875, 500.4397617, 505.3690194, 386.6632654, 167.5646875, 2.9992537, 0.0000000, 0.0000000, 2015.0000000, 0.0000000, 0.0000000, 0.0000000, 138.6634408, 370.5635508, 499.6249271, 503.6101232, 384.8701297, 166.7552528, 2.9857131, 0.0000000, 0.0000000, 2016.0000000, 0.0000000, 0.0000000, 0.0000000, 139.2457075, 371.6199546, 500.0269971, 502.8550708, 383.5041021, 165.9495637, 2.9696360, 0.0000000, 0.0000000, 2017.0000000, 0.0000000, 0.0000000, 0.0000000, 139.9680276, 373.3558106, 501.6252629, 503.3465230, 382.9194445, 165.3430134, 2.9546819, 0.0000000, 0.0000000, 2018.0000000, 0.0000000, 0.0000000, 0.0000000, 140.6684365, 375.4234422, 504.1606555, 505.0871862, 383.3212344, 165.0930094, 2.9442990, 0.0000000, 0.0000000, 2019.0000000, 0.0000000, 0.0000000, 0.0000000, 141.1752605, 377.3674141, 507.1434975, 507.8095953, 384.7160111, 165.2880483, 2.9410964, 0.0000000, 0.0000000, 2020.0000000, 0.0000000, 0.0000000, 0.0000000, 141.3442462, 378.7108214, 509.9307940, 511.0085781, 386.9083321, 165.9367166, 2.9464957, 0.0000000, 0.0000000, 2021.0000000, 0.0000000, 0.0000000, 0.0000000, 141.0922095, 379.0353096, 511.7860683, 513.9342215, 389.4448264, 166.9279270, 2.9598928, 0.0000000, 0.0000000, 2022.0000000, 0.0000000, 0.0000000, 0.0000000, 140.4599307, 378.1902801, 512.1566920, 515.8009251, 391.6927822, 168.0294333, 2.9782177, 0.0000000, 0.0000000, 2023.0000000, 0.0000000, 0.0000000, 0.0000000, 139.6122267, 376.3963648, 510.9371023, 516.1047521, 393.0556936, 168.9535484, 2.9965754, 0.0000000, 0.0000000, 2024.0000000, 0.0000000, 0.0000000, 0.0000000, 138.7826967, 374.1866429, 508.5534240, 514.8611537, 393.2230136, 169.4659204, 3.0100218, 0.0000000, 0.0000000, 2025.0000000, 0.0000000, 0.0000000, 0.0000000, 138.1807548, 372.1848595, 505.7804610, 512.5994913, 392.3038142, 169.4828978, 3.0155047, 0.0000000, 0.0000000, 2026.0000000, 0.0000000, 0.0000000, 0.0000000, 137.9140739, 370.8466318, 503.3766135, 510.0699434, 390.7226595, 169.0856487, 3.0128425, 0.0000000, 0.0000000, 2027.0000000, 0.0000000, 0.0000000, 0.0000000, 137.9870166, 370.3731649, 501.8559446, 507.9394227, 388.9881703, 168.4439330, 3.0039238, 0.0000000, 0.0000000, 2028.0000000, 0.0000000, 0.0000000, 0.0000000, 138.3272945, 370.7439971, 501.4598025, 506.6897342, 387.5779553, 167.7667782, 2.9919775, 0.0000000, 0.0000000, 2029.0000000, 0.0000000, 0.0000000, 0.0000000, 138.8087937, 371.7485266, 502.1442935, 506.5391385, 386.8313846, 167.2437684, 2.9805342, 0.0000000, 0.0000000, 2030.0000000, 0.0000000, 0.0000000, 0.0000000, 139.2824340, 373.0547716, 503.6436031, 507.4649553, 386.9282262, 167.0203286, 2.9728095, 0.0000000, 0.0000000, 2031.0000000, 0.0000000, 0.0000000, 0.0000000, 139.5947906, 374.2480008, 505.4992777, 509.2079741, 387.8720361, 167.1826194, 2.9713506, 0.0000000, 0.0000000, 2032.0000000, 0.0000000, 0.0000000, 0.0000000, 139.6146143, 374.8785610, 507.0752374, 511.2334380, 389.4253198, 167.7189615, 2.9772405, 0.0000000, 0.0000000, 2033.0000000, 0.0000000, 0.0000000, 0.0000000, 139.2893918, 374.6180781, 507.7328850, 512.8369405, 391.1251220, 168.5007387, 2.9894801, 0.0000000, 0.0000000, 2034.0000000, 0.0000000, 0.0000000, 0.0000000, 138.6729727, 373.3833691, 507.0297409, 513.3204418, 392.3642210, 169.2898633, 3.0047054, 0.0000000, 0.0000000, 2035.0000000, 0.0000000, 0.0000000, 0.0000000, 137.9389533, 371.4558499, 504.9834225, 512.3066675, 392.6085445, 169.8029450, 3.0178450, 0.0000000, 0.0000000, 2036.0000000, 0.0000000, 0.0000000, 0.0000000, 137.3142109, 369.3940864, 502.1280900, 509.9738936, 391.6729351, 169.8433343, 3.0242607, 0.0000000, 0.0000000, 2037.0000000, 0.0000000, 0.0000000, 0.0000000, 136.9815947, 367.7780606, 499.2459049, 506.9399755, 389.7788652, 169.3789230, 3.0216837, 0.0000000, 0.0000000, 2038.0000000, 0.0000000, 0.0000000, 0.0000000, 137.0273609, 367.0112879, 497.0543727, 503.9666441, 387.4061673, 168.5260450, 3.0105643, 0.0000000, 0.0000000, 2039.0000000, 0.0000000, 0.0000000, 0.0000000, 137.4363870, 367.2489539, 496.0267286, 501.7246403, 385.1145596, 167.4952353, 2.9936479, 0.0000000, 0.0000000, 2040.0000000, 0.0000000, 0.0000000, 0.0000000, 138.1140338, 368.4079544, 496.3215649, 500.6296073, 383.3620766, 166.5044664, 2.9745662, 0.0000000, 0.0000000, 2041.0000000, 0.0000000, 0.0000000, 0.0000000, 138.9233108, 370.2501503, 497.8601069, 500.8707540, 382.4799061, 165.7507288, 2.9571322, 0.0000000, 0.0000000, 2042.0000000, 0.0000000, 0.0000000, 0.0000000, 139.6960675, 372.3974427, 500.3243896, 502.3838482, 382.6296891, 165.3810845, 2.9447816, 0.0000000, 0.0000000, 2043.0000000, 0.0000000, 0.0000000, 0.0000000, 140.2621045, 374.3831886, 503.1859852, 504.8439861, 383.7709159, 165.4680355, 2.9399207, 0.0000000, 0.0000000, 2044.0000000, 0.0000000, 0.0000000, 0.0000000, 140.4866223, 375.7383192, 505.7798553, 507.6892116, 385.6456752, 165.9911375, 2.9435092, 0.0000000, 0.0000000, 2045.0000000, 0.0000000, 0.0000000, 0.0000000, 140.3078990, 376.0939187, 507.4075370, 510.1629261, 387.7596164, 166.8110477, 2.9543902, 0.0000000, 0.0000000, 2046.0000000, 0.0000000, 0.0000000, 0.0000000, 139.7927336, 375.3771299, 507.6131692, 511.5403259, 389.4801495, 167.6761108, 2.9689261, 0.0000000, 0.0000000, 2047.0000000, 0.0000000, 0.0000000, 0.0000000, 139.1233218, 373.8857462, 506.4283216, 511.4592615, 390.2923568, 168.3130365, 2.9821957, 0.0000000, 0.0000000, 2048.0000000, 0.0000000, 0.0000000, 0.0000000, 138.5277157, 372.1754593, 504.3716442, 510.0810752, 390.0092085, 168.5314813, 2.9897774, 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