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剧情提要：[工程师阿伟]正在和[机器小伟]一起研究[历法的制定]。
历法的制定，在历史上各个时期，都是有不同的标准的，而且在中华帝国，
是作为重中之重进行管理的，这也是华夏灿烂文明中值得骄傲的一页。
站在现代科技的巅峰，阿伟和小伟当然会在以后的读史修炼中，用现代的理念和计算方法
去反推过去的时间，当然，可能会与当时的史书记录不同，但阿伟会详细的列出差异所在，
以供诸君研究。
首先是几个一般性的知识点：
由于平均每5次日月合朔中还有1次月球会从太阳面上走过，也就是会形成日食，
于是阿伟就想了解下这个问题：
然后是章动的概念：
其实阿伟对这些概念也不是很懂，也不打算去搞懂。下面给出寿星万年历的代码，
由它可以计算出历年的交节时间，精确到秒：
<span style="font-size:18px;">###
# @usage 整理《寿星万年历》算法，将其转化为python语言，至此应有C++, Java, Python版本各一份
# @author mw
# @date 2016年05月31日 星期二 08:21:18
# @param
# @return
#
###
class SolarTerm():
def __init__(self):
# ========角度变换===============
self._rad = 180 * 3600 / math.pi; # 每弧度的角秒数
self._RAD = 180 / math.pi; # 每弧度的角度数
# ================日历计算===============
self._J2000 = 2451545; # 2000年前儒略日数(2000-1-1 12:00:00格林威治平时)
# =========黄赤交角及黄赤坐标变换===========
self._hcjjB = [84381.448, -46.8150, -0.00059, 0.001813];# 黄赤交角系数表
self._preceB = [0, 50287.92262, 111.24406, 0.07699, -0.23479, -0.00178, 0.00018, 0.00001];# Date黄道上的岁差p
self._Y = 2000;
self._M = 1;
self._D = 1;
self._h = 12;
self._m = 0;
self._s = 0;
self._dts = [
# 世界时与原子时之差计算表
# 共101项
-4000, 108371.7, -13036.80, 392.000, 0.0000,
-500, 17201.0, -627.82, 16.170, -0.3413,
-150, 12200.6, -346.41, 5.403, -0.1593,
150, 9113.8, -328.13, -1.647, 0.0377,
500, 5707.5, -391.41, 0.915, 0.3145,
900, 2203.4, -283.45, 13.034, -0.1778,
1300, 490.1, -57.35, 2.085, -0.0072,
1600, 120.0, -9.81, -1.532, 0.1403,
1700, 10.2, -0.91, 0.510, -0.0370,
1800, 13.4, -0.72, 0.202, -0.0193,
1830, 7.8, -1.81, 0.416, -0.0247,
1860, 8.3, -0.13, -0.406, 0.0292,
1880, -5.4, 0.32, -0.183, 0.0173,
1900, -2.3, 2.06, 0.169, -0.0135,
1920, 21.2, 1.69, -0.304, 0.0167,
1940, 24.2, 1.22, -0.064, 0.0031,
1960, 33.2, 0.51, 0.231, -0.0109,
1980, 51.0, 1.29, -0.026, 0.0032,
2000, 64.7, -1.66, 5.224, -0.2905,
2150, 279.4, 732.95, 429.579, 0.0158,
6000
];
RAD = self._RAD;
rad = self._rad;
# ===============光行差==================
self._GXC_e = [0.016708634, -0.000042037, -0.0000001267 ]; # 离心率
self._GXC_p = [102.93735 / RAD, 1.71946 / RAD, 0.00046 / RAD ]; # 近点
self._GXC_l = [280.4664567 / RAD,
36000.76982779 / RAD,
0.0003032028 / RAD,
1 / 49931000 / RAD,
-1 / 153000000 / RAD ]; # 太平黄经
self._GXC_k = 20.49552 / rad; # 光行差常数
# ===============章动计算==================
self._nutB = [# 章动表，共90项
2.1824391966, -33.757045954, 0.0000362262, 3.7340E-08, -2.8793E-10,
-171996, -1742, 92025, 89, 3.5069406862, 1256.663930738,
0.0000105845, 6.9813E-10, -2.2815E-10, -13187, -16, 5736, -31,
1.3375032491, 16799.418221925, -0.0000511866, 6.4626E-08,
-5.3543E-10, -2274, -2, 977, -5, 4.3648783932, -67.514091907,
0.0000724525, 7.4681E-08, -5.7586E-10, 2062, 2, -895, 5,
0.0431251803, -628.301955171, 0.0000026820, 6.5935E-10, 5.5705E-11,
-1426, 34, 54, -1, 2.3555557435, 8328.691425719, 0.0001545547,
2.5033E-07, -1.1863E-09, 712, 1, -7, 0, 3.4638155059,
1884.965885909, 0.0000079025, 3.8785E-11, -2.8386E-10, -517, 12,
224, -6, 5.4382493597, 16833.175267879, -0.0000874129, 2.7285E-08,
-2.4750E-10, -386, -4, 200, 0, 3.6930589926, 25128.109647645,
0.0001033681, 3.1496E-07, -1.7218E-09, -301, 0, 129, -1,
3.5500658664, 628.361975567, 0.0000132664, 1.3575E-09, -1.7245E-10,
217, -5, -95, 3 ];
# ==================日位置计算===================
self._EnnT = 0; # 调用Enn前先设置EnnT时间变量
# ==================月位置计算===================
self._MnnT = 0; # 调用Mnn前先设置MnnT时间变量
#=================以下是月球及地球运动参数表===================
'''
/***************************************
* 如果用记事本查看此代码,请在"格式"菜单中去除"自动换行"
* E10是关于地球的,格式如下:
* 它是一个数组,每3个数看作一条记录,每条记录的3个数记为A,B,C
* rec=A*cos(B+C*t); 式中t是J2000起算的儒略千年数
* 每条记录的计算结果(即rec)取和即得地球的日心黄经的周期量L0
* E11格式如下: rec = A*cos*(B+C*t) *t, 取和后得泊松量L1
* E12格式如下: rec = A*cos*(B+C*t) *t*t, 取和后得泊松量L2
* E13格式如下: rec = A*cos*(B+C*t) *t*t*t, 取和后得泊松量L3
* 最后地球的地心黄经:L = L0+L1+L2+L3+...
* E20,E21,E22,E23...用于计算黄纬
* M10,M11等是关于月球的,参数的用法请阅读Mnn()函数
*****************************************/
'''
#names = ['E10', 'E11', 'E12', 'E13', 'E14', 'E15', 'E20', 'E21', 'E30', 'E31', 'E32', 'E33'];
#E10：180项， E11：60项， E12：30项， E13：9项， E14：9项， E15：3项，
#E20：30项， E21：6项，
#E30：24项， E31：9项， E32：3项， E33：3项，
#地球运动VSOP87参数
self._E10 = [ #黄经周期项
1.75347045673, 0.00000000000, 0.0000000000, 0.03341656456, 4.66925680417, 6283.0758499914, 0.00034894275, 4.62610241759, 12566.1516999828, 0.00003417571, 2.82886579606, 3.5231183490,
0.00003497056, 2.74411800971, 5753.3848848968, 0.00003135896, 3.62767041758, 77713.7714681205, 0.00002676218, 4.41808351397, 7860.4193924392, 0.00002342687, 6.13516237631, 3930.2096962196,
0.00001273166, 2.03709655772, 529.6909650946, 0.00001324292, 0.74246356352, 11506.7697697936, 0.00000901855, 2.04505443513, 26.2983197998, 0.00001199167, 1.10962944315, 1577.3435424478,
0.00000857223, 3.50849156957, 398.1490034082, 0.00000779786, 1.17882652114, 5223.6939198022, 0.00000990250, 5.23268129594, 5884.9268465832, 0.00000753141, 2.53339053818, 5507.5532386674,
0.00000505264, 4.58292563052, 18849.2275499742, 0.00000492379, 4.20506639861, 775.5226113240, 0.00000356655, 2.91954116867, 0.0673103028, 0.00000284125, 1.89869034186, 796.2980068164,
0.00000242810, 0.34481140906, 5486.7778431750, 0.00000317087, 5.84901952218, 11790.6290886588, 0.00000271039, 0.31488607649, 10977.0788046990, 0.00000206160, 4.80646606059, 2544.3144198834,
0.00000205385, 1.86947813692, 5573.1428014331, 0.00000202261, 2.45767795458, 6069.7767545534, 0.00000126184, 1.08302630210, 20.7753954924, 0.00000155516, 0.83306073807, 213.2990954380,
0.00000115132, 0.64544911683, 0.9803210682, 0.00000102851, 0.63599846727, 4694.0029547076, 0.00000101724, 4.26679821365, 7.1135470008, 0.00000099206, 6.20992940258, 2146.1654164752,
0.00000132212, 3.41118275555, 2942.4634232916, 0.00000097607, 0.68101272270, 155.4203994342, 0.00000085128, 1.29870743025, 6275.9623029906, 0.00000074651, 1.75508916159, 5088.6288397668,
0.00000101895, 0.97569221824, 15720.8387848784, 0.00000084711, 3.67080093025, 71430.6956181291, 0.00000073547, 4.67926565481, 801.8209311238, 0.00000073874, 3.50319443167, 3154.6870848956,
0.00000078756, 3.03698313141, 12036.4607348882, 0.00000079637, 1.80791330700, 17260.1546546904, 0.00000085803, 5.98322631256,161000.6857376741, 0.00000056963, 2.78430398043, 6286.5989683404,
0.00000061148, 1.81839811024, 7084.8967811152, 0.00000069627, 0.83297596966, 9437.7629348870, 0.00000056116, 4.38694880779, 14143.4952424306, 0.00000062449, 3.97763880587, 8827.3902698748,
0.00000051145, 0.28306864501, 5856.4776591154, 0.00000055577, 3.47006009062, 6279.5527316424, 0.00000041036, 5.36817351402, 8429.2412664666, 0.00000051605, 1.33282746983, 1748.0164130670,
0.00000051992, 0.18914945834, 12139.5535091068, 0.00000049000, 0.48735065033, 1194.4470102246, 0.00000039200, 6.16832995016, 10447.3878396044, 0.00000035566, 1.77597314691, 6812.7668150860,
0.00000036770, 6.04133859347, 10213.2855462110, 0.00000036596, 2.56955238628, 1059.3819301892, 0.00000033291, 0.59309499459, 17789.8456197850, 0.00000035954, 1.70876111898, 2352.8661537718];
self._E11 = [ #黄经泊松1项
6283.31966747491,0.00000000000, 0.0000000000, 0.00206058863, 2.67823455584, 6283.0758499914, 0.00004303430, 2.63512650414, 12566.1516999828, 0.00000425264, 1.59046980729, 3.5231183490,
0.00000108977, 2.96618001993, 1577.3435424478, 0.00000093478, 2.59212835365, 18849.2275499742, 0.00000119261, 5.79557487799, 26.2983197998, 0.00000072122, 1.13846158196, 529.6909650946,
0.00000067768, 1.87472304791, 398.1490034082, 0.00000067327, 4.40918235168, 5507.5532386674, 0.00000059027, 2.88797038460, 5223.6939198022, 0.00000055976, 2.17471680261, 155.4203994342,
0.00000045407, 0.39803079805, 796.2980068164, 0.00000036369, 0.46624739835, 775.5226113240, 0.00000028958, 2.64707383882, 7.1135470008, 0.00000019097, 1.84628332577, 5486.7778431750,
0.00000020844, 5.34138275149, 0.9803210682, 0.00000018508, 4.96855124577, 213.2990954380, 0.00000016233, 0.03216483047, 2544.3144198834, 0.00000017293, 2.99116864949, 6275.9623029906];
self._E12 = [ #黄经泊松2项
0.00052918870, 0.00000000000, 0.0000000000, 0.00008719837, 1.07209665242, 6283.0758499914, 0.00000309125, 0.86728818832, 12566.1516999828, 0.00000027339, 0.05297871691, 3.5231183490,
0.00000016334, 5.18826691036, 26.2983197998, 0.00000015752, 3.68457889430, 155.4203994342, 0.00000009541, 0.75742297675, 18849.2275499742, 0.00000008937, 2.05705419118, 77713.7714681205,
0.00000006952, 0.82673305410, 775.5226113240, 0.00000005064, 4.66284525271, 1577.3435424478];
self._E13 = [ 0.00000289226, 5.84384198723, 6283.0758499914, 0.00000034955, 0.00000000000, 0.0000000000, 0.00000016819, 5.48766912348, 12566.1516999828];
self._E14 = [ 0.00000114084, 3.14159265359, 0.0000000000, 0.00000007717, 4.13446589358, 6283.0758499914, 0.00000000765, 3.83803776214, 12566.1516999828];
self._E15 = [ 0.00000000878, 3.14159265359, 0.0000000000 ];
self._E20 = [ #黄纬周期项
0.00000279620, 3.19870156017, 84334.6615813083, 0.00000101643, 5.42248619256, 5507.5532386674, 0.00000080445, 3.88013204458, 5223.6939198022, 0.00000043806, 3.70444689758, 2352.8661537718,
0.00000031933, 4.00026369781, 1577.3435424478, 0.00000022724, 3.98473831560, 1047.7473117547, 0.00000016392, 3.56456119782, 5856.4776591154, 0.00000018141, 4.98367470263, 6283.0758499914,
0.00000014443, 3.70275614914, 9437.7629348870, 0.00000014304, 3.41117857525, 10213.2855462110];
self._E21 = [ 0.00000009030, 3.89729061890, 5507.5532386674, 0.00000006177, 1.73038850355, 5223.6939198022];
self._E30 = [ #距离周期项
1.00013988799, 0.00000000000, 0.0000000000, 0.01670699626, 3.09846350771, 6283.0758499914, 0.00013956023, 3.05524609620, 12566.1516999828, 0.00003083720, 5.19846674381, 77713.7714681205,
0.00001628461, 1.17387749012, 5753.3848848968, 0.00001575568, 2.84685245825, 7860.4193924392, 0.00000924799, 5.45292234084, 11506.7697697936, 0.00000542444, 4.56409149777, 3930.2096962196];
self._E31 = [ 0.00103018608, 1.10748969588, 6283.0758499914, 0.00001721238, 1.06442301418, 12566.1516999828, 0.00000702215, 3.14159265359, 0.0000000000];
self._E32 = [ 0.00004359385, 5.78455133738, 6283.0758499914 ];
self._E33 = [ 0.00000144595, 4.27319435148, 6283.0758499914 ];
#names = ['M10', 'M11', 'M12', 'M20', 'M21', 'M30', 'M31', 'M1n'];
#M10：330项， M11：48项， M12：18项，
#M20：330项， M21：48项，
#M30：330项， M31：48项，
#M1n：5项，
#月球运动参数
self._M10 = [ # 月球黄经周期项
22639.5858800, 2.3555545723, 8328.6914247251, 1.5231275E-04, 2.5041111E-07,-1.1863391E-09, 4586.4383203, 8.0413790709, 7214.0628654588,-2.1850087E-04,-1.8646419E-07, 8.7760973E-10, 2369.9139357, 10.3969336431, 15542.7542901840,-6.6188121E-05, 6.3946925E-08,-3.0872935E-10, 769.0257187, 4.7111091445, 16657.3828494503, 3.0462550E-04, 5.0082223E-07,-2.3726782E-09,
-666.4175399, -0.0431256817, 628.3019552485,-2.6638815E-06, 6.1639211E-10,-5.4439728E-11, -411.5957339, 3.2558104895, 16866.9323152810,-1.2804259E-04,-9.8998954E-09, 4.0433461E-11, 211.6555524, 5.6858244986, -1114.6285592663,-3.7081362E-04,-4.3687530E-07, 2.0639488E-09, 205.4359530, 8.0845047526, 6585.7609102104,-2.1583699E-04,-1.8708058E-07, 9.3204945E-10,
191.9561973, 12.7524882154, 23871.4457149091, 8.6124629E-05, 3.1435804E-07,-1.4950684E-09, 164.7286185, 10.4400593249, 14914.4523349355,-6.3524240E-05, 6.3330532E-08,-2.5428962E-10, -147.3213842, -2.3986802540, -7700.3894694766,-1.5497663E-04,-2.4979472E-07, 1.1318993E-09, -124.9881185, 5.1984668216, 7771.3771450920,-3.3094061E-05, 3.1973462E-08,-1.5436468E-10,
-109.3803637, 2.3124288905, 8956.9933799736, 1.4964887E-04, 2.5102751E-07,-1.2407788E-09, 55.1770578, 7.1411231536, -1324.1780250970, 6.1854469E-05, 7.3846820E-08,-3.4916281E-10, -45.0996092, 5.6113650618, 25195.6237400061, 2.4270161E-05, 2.4051122E-07,-1.1459056E-09, 39.5333010, -0.9002559173, -8538.2408905558, 2.8035534E-04, 2.6031101E-07,-1.2267725E-09,
38.4298346, 18.4383127140, 22756.8171556428,-2.8468899E-04,-1.2251727E-07, 5.6888037E-10, 36.1238141, 7.0666637168, 24986.0742741754, 4.5693825E-04, 7.5123334E-07,-3.5590172E-09, 30.7725751, 16.0827581417, 14428.1257309177,-4.3700174E-04,-3.7292838E-07, 1.7552195E-09, -28.3971008, 7.9982533891, 7842.3648207073,-2.2116475E-04,-1.8584780E-07, 8.2317000E-10,
-24.3582283, 10.3538079614, 16171.0562454324,-6.8852003E-05, 6.4563317E-08,-3.6316908E-10, -18.5847068, 2.8429122493, -557.3142796331,-1.8540681E-04,-2.1843765E-07, 1.0319744E-09, 17.9544674, 5.1553411398, 8399.6791003405,-3.5757942E-05, 3.2589854E-08,-2.0880440E-10, 14.5302779, 12.7956138971, 23243.1437596606, 8.8788511E-05, 3.1374165E-07,-1.4406287E-09,
14.3796974, 15.1080427876, 32200.1371396342, 2.3843738E-04, 5.6476915E-07,-2.6814075E-09, 14.2514576,-24.0810366320, -2.3011998397, 1.5231275E-04, 2.5041111E-07,-1.1863391E-09, 13.8990596, 20.7938672862, 31085.5085803679,-1.3237624E-04, 1.2789385E-07,-6.1745870E-10, 13.1940636, 3.3302699264, -9443.3199839914,-5.2312637E-04,-6.8728642E-07, 3.2502879E-09,
-9.6790568, -4.7542348263,-16029.0808942018,-3.0728938E-04,-5.0020584E-07, 2.3182384E-09, -9.3658635, 11.2971895604, 24080.9951807398,-3.4654346E-04,-1.9636409E-07, 9.1804319E-10, 8.6055318, 5.7289501804, -1742.9305145148,-3.6814974E-04,-4.3749170E-07, 2.1183885E-09, -8.4530982, 7.5540213938, 16100.0685698171, 1.1921869E-04, 2.8238458E-07,-1.3407038E-09,
8.0501724, 10.4831850066, 14286.1503796870,-6.0860358E-05, 6.2714140E-08,-1.9984990E-10, -7.6301553, 4.6679834628, 17285.6848046987, 3.0196162E-04, 5.0143862E-07,-2.4271179E-09, -7.4474952, -0.0862513635, 1256.6039104970,-5.3277630E-06, 1.2327842E-09,-1.0887946E-10, 7.3712011, 8.1276304344, 5957.4589549619,-2.1317311E-04,-1.8769697E-07, 9.8648918E-10,
7.0629900, 0.9591375719, 33.7570471374,-3.0829302E-05,-3.6967043E-08, 1.7385419E-10, -6.3831491, 9.4966777258, 7004.5133996281, 2.1416722E-04, 3.2425793E-07,-1.5355019E-09, -5.7416071, 13.6527441326, 32409.6866054649,-1.9423071E-04, 5.4047029E-08,-2.6829589E-10, 4.3740095, 18.4814383957, 22128.5152003943,-2.8202511E-04,-1.2313366E-07, 6.2332010E-10,
-3.9976134, 7.9669196340, 33524.3151647312, 1.7658291E-04, 4.9092233E-07,-2.3322447E-09, -3.2096876, 13.2398458924, 14985.4400105508,-2.5159493E-04,-1.5449073E-07, 7.2324505E-10, -2.9145404, 12.7093625336, 24499.7476701576, 8.3460748E-05, 3.1497443E-07,-1.5495082E-09, 2.7318890, 16.1258838235, 13799.8237756692,-4.3433786E-04,-3.7354477E-07, 1.8096592E-09,
-2.5679459, -2.4418059357, -7072.0875142282,-1.5764051E-04,-2.4917833E-07, 1.0774596E-09, -2.5211990, 7.9551277074, 8470.6667759558,-2.2382863E-04,-1.8523141E-07, 7.6873027E-10, 2.4888871, 5.6426988169, -486.3266040178,-3.7347750E-04,-4.3625891E-07, 2.0095091E-09, 2.1460741, 7.1842488353, -1952.4799803455, 6.4518350E-05, 7.3230428E-08,-2.9472308E-10,
1.9777270, 23.1494218585, 39414.2000050930, 1.9936508E-05, 3.7830496E-07,-1.8037978E-09, 1.9336825, 9.4222182890, 33314.7656989005, 6.0925100E-04, 1.0016445E-06,-4.7453563E-09, 1.8707647, 20.8369929680, 30457.2066251194,-1.2971236E-04, 1.2727746E-07,-5.6301898E-10, -1.7529659, 0.4873576771, -8886.0057043583,-3.3771956E-04,-4.6884877E-07, 2.2183135E-09,
-1.4371624, 7.0979974718, -695.8760698485, 5.9190587E-05, 7.4463212E-08,-4.0360254E-10, -1.3725701, 1.4552986550, -209.5494658307, 4.3266809E-04, 5.1072212E-07,-2.4131116E-09, 1.2618162, 7.5108957121, 16728.3705250656, 1.1655481E-04, 2.8300097E-07,-1.3951435E-09];
self._M11 = [ #月球黄经泊松一项
1.6768000, -0.0431256817, 628.3019552485,-2.6638815E-06, 6.1639211E-10,-5.4439728E-11, 0.5164200, 11.2260974062, 6585.7609102104,-2.1583699E-04,-1.8708058E-07, 9.3204945E-10, 0.4138300, 13.5816519784, 14914.4523349355,-6.3524240E-05, 6.3330532E-08,-2.5428962E-10, 0.3711500, 5.5402729076, 7700.3894694766, 1.5497663E-04, 2.4979472E-07,-1.1318993E-09,
0.2756000, 2.3124288905, 8956.9933799736, 1.4964887E-04, 2.5102751E-07,-1.2407788E-09, 0.2459863,-25.6198212459, -2.3011998397, 1.5231275E-04, 2.5041111E-07,-1.1863391E-09, 0.0711800, 7.9982533891, 7842.3648207073,-2.2116475E-04,-1.8584780E-07, 8.2317000E-10, 0.0612800, 10.3538079614, 16171.0562454324,-6.8852003E-05, 6.4563317E-08,-3.6316908E-10];
self._M12 = [ 0.0048700, -0.0431256817, 628.3019552485,-2.6638815E-06, 6.1639211E-10,-5.4439728E-11, 0.0022800,-27.1705318325, -2.3011998397, 1.5231275E-04, 2.5041111E-07,-1.1863391E-09, 0.0015000, 11.2260974062, 6585.7609102104,-2.1583699E-04,-1.8708058E-07, 9.3204945E-10];
self._M20 = [ #月球黄纬周期项
18461.2400600, 1.6279052448, 8433.4661576405,-6.4021295E-05,-4.9499477E-09, 2.0216731E-11, 1010.1671484, 3.9834598170, 16762.1575823656, 8.8291456E-05, 2.4546117E-07,-1.1661223E-09, 999.6936555, 0.7276493275, -104.7747329154, 2.1633405E-04, 2.5536106E-07,-1.2065558E-09, 623.6524746, 8.7690283983, 7109.2881325435,-2.1668263E-06, 6.8896872E-08,-3.2894608E-10,
199.4837596, 9.6692843156, 15647.5290230993,-2.8252217E-04,-1.9141414E-07, 8.9782646E-10, 166.5741153, 6.4134738261, -1219.4032921817,-1.5447958E-04,-1.8151424E-07, 8.5739300E-10, 117.2606951, 12.0248388879, 23976.2204478244,-1.3020942E-04, 5.8996977E-08,-2.8851262E-10, 61.9119504, 6.3390143893, 25090.8490070907, 2.4060421E-04, 4.9587228E-07,-2.3524614E-09,
33.3572027, 11.1245829706, 15437.9795572686, 1.5014592E-04, 3.1930799E-07,-1.5152852E-09, 31.7596709, 3.0832038997, 8223.9166918098, 3.6864680E-04, 5.0577218E-07,-2.3928949E-09, 29.5766003, 8.8121540801, 6480.9861772950, 4.9705523E-07, 6.8280480E-08,-2.7450635E-10, 15.5662654, 4.0579192538, -9548.0947169068,-3.0679233E-04,-4.3192536E-07, 2.0437321E-09,
15.1215543, 14.3803934601, 32304.9118725496, 2.2103334E-05, 3.0940809E-07,-1.4748517E-09, -12.0941511, 8.7259027166, 7737.5900877920,-4.8307078E-06, 6.9513264E-08,-3.8338581E-10, 8.8681426, 9.7124099974, 15019.2270678508,-2.7985829E-04,-1.9203053E-07, 9.5226618E-10, 8.0450400, 0.6687636586, 8399.7091105030,-3.3191993E-05, 3.2017096E-08,-1.5363746E-10,
7.9585542, 12.0679645696, 23347.9184925760,-1.2754553E-04, 5.8380585E-08,-2.3407289E-10, 7.4345550, 6.4565995078, -1847.7052474301,-1.5181570E-04,-1.8213063E-07, 9.1183272E-10, -6.7314363, -4.0265854988,-16133.8556271171,-9.0955337E-05,-2.4484477E-07, 1.1116826E-09, 6.5795750, 16.8104074692, 14323.3509980023,-2.2066770E-04,-1.1756732E-07, 5.4866364E-10,
-6.4600721, 1.5847795630, 9061.7681128890,-6.6685176E-05,-4.3335556E-09,-3.4222998E-11, -6.2964773, 4.8837157343, 25300.3984729215,-1.9206388E-04,-1.4849843E-08, 6.0650192E-11, -5.6323538, -0.7707750092, 733.0766881638,-2.1899793E-04,-2.5474467E-07, 1.1521161E-09, -5.3683961, 6.8263720663, 16204.8433027325,-9.7115356E-05, 2.7023515E-08,-1.3414795E-10,
-5.3112784, 3.9403341353, 17390.4595376141, 8.5627574E-05, 2.4607756E-07,-1.2205621E-09, -5.0759179, 0.6845236457, 523.5272223331, 2.1367016E-04, 2.5597745E-07,-1.2609955E-09, -4.8396143, -1.6710309265, -7805.1642023920, 6.1357413E-05, 5.5663398E-09,-7.4656459E-11, -4.8057401, 3.5705615768, -662.0890125485, 3.0927234E-05, 3.6923410E-08,-1.7458141E-10,
3.9840545, 8.6945689615, 33419.5404318159, 3.9291696E-04, 7.4628340E-07,-3.5388005E-09, 3.6744619, 19.1659620415, 22652.0424227274,-6.8354947E-05, 1.3284380E-07,-6.3767543E-10, 2.9984815, 20.0662179587, 31190.2833132833,-3.4871029E-04,-1.2746721E-07, 5.8909710E-10, 2.7986413, -2.5281611620,-16971.7070481963, 3.4437664E-04, 2.6526096E-07,-1.2469893E-09,
2.4138774, 17.7106633865, 22861.5918885581,-5.0102304E-04,-3.7787833E-07, 1.7754362E-09, 2.1863132, 5.5132179088, -9757.6441827375, 1.2587576E-04, 7.8796768E-08,-3.6937954E-10, 2.1461692, 13.4801375428, 23766.6709819937, 3.0245868E-04, 5.6971910E-07,-2.7016242E-09, 1.7659832, 11.1677086523, 14809.6776020201, 1.5280981E-04, 3.1869159E-07,-1.4608454E-09,
-1.6244212, 7.3137297434, 7318.8375983742,-4.3483492E-04,-4.4182525E-07, 2.0841655E-09, 1.5813036, 5.4387584720, 16552.6081165349, 5.2095955E-04, 7.5618329E-07,-3.5792340E-09, 1.5197528, 16.7359480324, 40633.6032972747, 1.7441609E-04, 5.5981921E-07,-2.6611908E-09, 1.5156341, 1.7023646816,-17876.7861416319,-4.5910508E-04,-6.8233647E-07, 3.2300712E-09,
1.5102092, 5.4977296450, 8399.6847301375,-3.3094061E-05, 3.1973462E-08,-1.5436468E-10, -1.3178223, 9.6261586339, 16275.8309783478,-2.8518605E-04,-1.9079775E-07, 8.4338673E-10, -1.2642739, 11.9817132061, 24604.5224030729,-1.3287330E-04, 5.9613369E-08,-3.4295235E-10, 1.1918723, 22.4217725310, 39518.9747380084,-1.9639754E-04, 1.2294390E-07,-5.9724197E-10,
1.1346110, 14.4235191419, 31676.6099173011, 2.4767216E-05, 3.0879170E-07,-1.4204120E-09, 1.0857810, 8.8552797618, 5852.6842220465, 3.1609367E-06, 6.7664088E-08,-2.2006663E-10, -1.0193852, 7.2392703065, 33629.0898976466,-3.9751134E-05, 2.3556127E-07,-1.1256889E-09, -0.8227141, 11.0814572888, 16066.2815125171, 1.4748204E-04, 3.1992438E-07,-1.5697249E-09,
0.8042238, 3.5274358950, -33.7870573000, 2.8263353E-05, 3.7539802E-08,-2.2902113E-10, 0.8025939, 6.7832463846, 16833.1452579809,-9.9779237E-05, 2.7639907E-08,-1.8858767E-10, -0.7931866, -6.3821400710,-24462.5470518423,-2.4326809E-04,-4.9525589E-07, 2.2980217E-09, -0.7910153, 6.3703481443, -591.1013369332,-1.5714346E-04,-1.8089785E-07, 8.0295327E-10,
-0.6674056, 9.1819266386, 24533.5347274576, 5.5197395E-05, 2.7743463E-07,-1.3204870E-09, 0.6502226, 4.1010449356,-10176.3966721553,-3.0412845E-04,-4.3254175E-07, 2.0981718E-09, -0.6388131, 6.2958887075, 25719.1509623392, 2.3794032E-04, 4.9648867E-07,-2.4069012E-09];
self._M21 = [ #月球黄纬泊松一项
0.0743000, 11.9537467337, 6480.9861772950, 4.9705523E-07, 6.8280480E-08,-2.7450635E-10, 0.0304300, 8.7259027166, 7737.5900877920,-4.8307078E-06, 6.9513264E-08,-3.8338581E-10, 0.0222900, 12.8540026510, 15019.2270678508,-2.7985829E-04,-1.9203053E-07, 9.5226618E-10, 0.0199900, 15.2095572232, 23347.9184925760,-1.2754553E-04, 5.8380585E-08,-2.3407289E-10,
0.0186900, 9.5981921614, -1847.7052474301,-1.5181570E-04,-1.8213063E-07, 9.1183272E-10, 0.0169600, 7.1681781524, 16133.8556271171, 9.0955337E-05, 2.4484477E-07,-1.1116826E-09, 0.0162300, 1.5847795630, 9061.7681128890,-6.6685176E-05,-4.3335556E-09,-3.4222998E-11, 0.0141900, -0.7707750092, 733.0766881638,-2.1899793E-04,-2.5474467E-07, 1.1521161E-09];
self._M30 = [ #月球距离周期项
385000.5290396, 1.5707963268, 0.0000000000, 0.0000000E+00, 0.0000000E+00, 0.0000000E+00,-20905.3551378, 3.9263508990, 8328.6914247251, 1.5231275E-04, 2.5041111E-07,-1.1863391E-09,-3699.1109330, 9.6121753977, 7214.0628654588,-2.1850087E-04,-1.8646419E-07, 8.7760973E-10,-2955.9675626, 11.9677299699, 15542.7542901840,-6.6188121E-05, 6.3946925E-08,-3.0872935E-10,
-569.9251264, 6.2819054713, 16657.3828494503, 3.0462550E-04, 5.0082223E-07,-2.3726782E-09, 246.1584797, 7.2566208254, -1114.6285592663,-3.7081362E-04,-4.3687530E-07, 2.0639488E-09, -204.5861179, 12.0108556517, 14914.4523349355,-6.3524240E-05, 6.3330532E-08,-2.5428962E-10, -170.7330791, 14.3232845422, 23871.4457149091, 8.6124629E-05, 3.1435804E-07,-1.4950684E-09,
-152.1378118, 9.6553010794, 6585.7609102104,-2.1583699E-04,-1.8708058E-07, 9.3204945E-10, -129.6202242, -0.8278839272, -7700.3894694766,-1.5497663E-04,-2.4979472E-07, 1.1318993E-09, 108.7427014, 6.7692631483, 7771.3771450920,-3.3094061E-05, 3.1973462E-08,-1.5436468E-10, 104.7552944, 3.8832252173, 8956.9933799736, 1.4964887E-04, 2.5102751E-07,-1.2407788E-09,
79.6605685, 0.6705404095, -8538.2408905558, 2.8035534E-04, 2.6031101E-07,-1.2267725E-09, 48.8883284, 1.5276706450, 628.3019552485,-2.6638815E-06, 6.1639211E-10,-5.4439728E-11, -34.7825237, 20.0091090408, 22756.8171556428,-2.8468899E-04,-1.2251727E-07, 5.6888037E-10, 30.8238599, 11.9246042882, 16171.0562454324,-6.8852003E-05, 6.4563317E-08,-3.6316908E-10,
24.2084985, 9.5690497159, 7842.3648207073,-2.2116475E-04,-1.8584780E-07, 8.2317000E-10, -23.2104305, 8.6374600436, 24986.0742741754, 4.5693825E-04, 7.5123334E-07,-3.5590172E-09, -21.6363439, 17.6535544685, 14428.1257309177,-4.3700174E-04,-3.7292838E-07, 1.7552195E-09, -16.6747239, 6.7261374666, 8399.6791003405,-3.5757942E-05, 3.2589854E-08,-2.0880440E-10,
14.4026890, 4.9010662531, -9443.3199839914,-5.2312637E-04,-6.8728642E-07, 3.2502879E-09, -12.8314035, 14.3664102239, 23243.1437596606, 8.8788511E-05, 3.1374165E-07,-1.4406287E-09, -11.6499478, 22.3646636130, 31085.5085803679,-1.3237624E-04, 1.2789385E-07,-6.1745870E-10, -10.4447578, 16.6788391144, 32200.1371396342, 2.3843738E-04, 5.6476915E-07,-2.6814075E-09,
10.3211071, 8.7119194804, -1324.1780250970, 6.1854469E-05, 7.3846820E-08,-3.4916281E-10, 10.0562033, 7.2997465071, -1742.9305145148,-3.6814974E-04,-4.3749170E-07, 2.1183885E-09, -9.8844667, 12.0539813334, 14286.1503796870,-6.0860358E-05, 6.2714140E-08,-1.9984990E-10, 8.7515625, 6.3563649081, -9652.8694498221,-9.0458282E-05,-1.7656429E-07, 8.3717626E-10,
-8.3791067, 4.4137085761, -557.3142796331,-1.8540681E-04,-2.1843765E-07, 1.0319744E-09, -7.0026961, -3.1834384995,-16029.0808942018,-3.0728938E-04,-5.0020584E-07, 2.3182384E-09, 6.3220032, 9.1248177206, 16100.0685698171, 1.1921869E-04, 2.8238458E-07,-1.3407038E-09, 5.7508579, 6.2387797896, 17285.6848046987, 3.0196162E-04, 5.0143862E-07,-2.4271179E-09,
-4.9501349, 9.6984267611, 5957.4589549619,-2.1317311E-04,-1.8769697E-07, 9.8648918E-10, -4.4211770, 3.0260949818, -209.5494658307, 4.3266809E-04, 5.1072212E-07,-2.4131116E-09, 4.1311145, 11.0674740526, 7004.5133996281, 2.1416722E-04, 3.2425793E-07,-1.5355019E-09, -3.9579827, 20.0522347225, 22128.5152003943,-2.8202511E-04,-1.2313366E-07, 6.2332010E-10,
3.2582371, 14.8106422192, 14985.4400105508,-2.5159493E-04,-1.5449073E-07, 7.2324505E-10, -3.1483020, 4.8266068163, 16866.9323152810,-1.2804259E-04,-9.8998954E-09, 4.0433461E-11, 2.6164092, 14.2801588604, 24499.7476701576, 8.3460748E-05, 3.1497443E-07,-1.5495082E-09, 2.3536310, 9.5259240342, 8470.6667759558,-2.2382863E-04,-1.8523141E-07, 7.6873027E-10,
-2.1171283, -0.8710096090, -7072.0875142282,-1.5764051E-04,-2.4917833E-07, 1.0774596E-09, -1.8970368, 17.6966801503, 13799.8237756692,-4.3433786E-04,-3.7354477E-07, 1.8096592E-09, -1.7385258, 2.0581540038, -8886.0057043583,-3.3771956E-04,-4.6884877E-07, 2.2183135E-09, -1.5713944, 22.4077892948, 30457.2066251194,-1.2971236E-04, 1.2727746E-07,-5.6301898E-10,
-1.4225541, 24.7202181853, 39414.2000050930, 1.9936508E-05, 3.7830496E-07,-1.8037978E-09, -1.4189284, 17.1661967915, 23314.1314352759,-9.9282182E-05, 9.5920387E-08,-4.6309403E-10, 1.1655364, 3.8400995356, 9585.2953352221, 1.4698499E-04, 2.5164390E-07,-1.2952185E-09, -1.1169371, 10.9930146158, 33314.7656989005, 6.0925100E-04, 1.0016445E-06,-4.7453563E-09,
1.0656723, 1.4845449633, 1256.6039104970,-5.3277630E-06, 1.2327842E-09,-1.0887946E-10, 1.0586190, 11.9220903668, 8364.7398411275,-2.1850087E-04,-1.8646419E-07, 8.7760973E-10, -0.9333176, 9.0816920389, 16728.3705250656, 1.1655481E-04, 2.8300097E-07,-1.3951435E-09, 0.8624328, 12.4550876470, 6656.7485858257,-4.0390768E-04,-4.0490184E-07, 1.9095841E-09,
0.8512404, 4.3705828944, 70.9876756153,-1.8807069E-04,-2.1782126E-07, 9.7753467E-10, -0.8488018, 16.7219647962, 31571.8351843857, 2.4110126E-04, 5.6415276E-07,-2.6269678E-09, -0.7956264, 3.5134526588, -9095.5551701890, 9.4948529E-05, 4.1873358E-08,-1.9479814E-10];
self._M31 = [ #
0.5139500, 12.0108556517, 14914.4523349355,-6.3524240E-05, 6.3330532E-08,-2.5428962E-10, 0.3824500, 9.6553010794, 6585.7609102104,-2.1583699E-04,-1.8708058E-07, 9.3204945E-10, 0.3265400, 3.9694765808, 7700.3894694766, 1.5497663E-04, 2.4979472E-07,-1.1318993E-09, 0.2639600, 0.7416325637, 8956.9933799736, 1.4964887E-04, 2.5102751E-07,-1.2407788E-09,
0.1230200, -1.6139220085, 628.3019552485,-2.6638815E-06, 6.1639211E-10,-5.4439728E-11, 0.0775400, 8.7830116346, 16171.0562454324,-6.8852003E-05, 6.4563317E-08,-3.6316908E-10, 0.0606800, 6.4274570623, 7842.3648207073,-2.2116475E-04,-1.8584780E-07, 8.2317000E-10, 0.0497000, 12.0539813334, 14286.1503796870,-6.0860358E-05, 6.2714140E-08,-1.9984990E-10];
self._M1n = [ #月球平黄经系数
3.81034392032, 8.39968473021E+03,-3.31919929753E-05, 3.20170955005E-08,-1.53637455544E-10];
#取整数部分
def int2(self, v):
v = math.floor(v);
if (v < 0):
return v+1;
return v;
# 对超过0-2PI的角度转为0-2PI
def rad2mrad(self, v):
v = v%(2*math.pi);
if (v < 0):
return v + 2*math.pi;
return v;
# 计算世界时与原子时之差,传入年
def deltatT(self, y):
dts = self._dts;
for i in range(0, 100, 5):
if (y < dts[i+5] or i == 95):
break;
#print('i = ', i, ', year = ', y, '>>>');
t1 = (y - dts[i]) / (dts[i + 5] - dts[i]) * 10;
t2 = t1 * t1;
t3 = t2 * t1;
return dts[i + 1] + dts[i + 2] * t1 + dts[i + 3] * t2 + dts[i + 4] * t3;
# 传入儒略日(J2000起算),计算UTC与原子时的差(单位:日)
def deltatT2(self, jd):
return self.deltatT(jd / 365.2425 + 2000) / 86400.0; #一天86400秒
# 公历转儒略日,UTC=1表示原日期是UTC
# UTC是布尔值，取值为0或1
def toJD(self, UTC):
y = self._Y; # 取出年月
m = self._M;
n = 0;
if (m <= 2):
m += 12;
y -= 1;
if (self._Y * 372 + self._M * 31 + self._D >= 588829):
# 判断是否为格里高利历日1582*372+10*31+15
n = self.int2(y / 100);
n = 2 - n + self.int2(n / 4);# 加百年闰
n += self.int2(365.2500001 * (y + 4716)); # 加上年引起的偏移日数
n += self.int2(30.6 * (m + 1)) + self._D; # 加上月引起的偏移日数及日偏移数
n += ((self._s / 60 + self._m) / 60 + self._h) / 24 - 1524.5;
if (UTC):
return n + self.deltatT2(n - self._J2000);
return n;
# 公历转儒略日,UTC=1表示原日期是UTC
# UTC是布尔值，取值为0或1
# array 为[Y, M, D, h, m, s]的格式化时间阵列
def arrayToJD(self, array, UTC = True):
Y = array[0]; # 取出年月
M = array[1];
D = array[2];
h = array[3];
m = array[4];
s = array[5];
n = 0;
if (M <= 2):
M += 12;
Y -= 1;
if (Y * 372 + M * 31 + D >= 588829):
# 判断是否为格里高利历日1582*372+10*31+15
n = self.int2(Y / 100);
n = 2 - n + self.int2(n / 4);# 加百年闰
n += self.int2(365.2500001 * (Y + 4716)); # 加上年引起的偏移日数
n += self.int2(30.6 * (M + 1)) + D; # 加上月引起的偏移日数及日偏移数
n += ((s / 60 + m) / 60 + h) / 24 - 1524.5;
if (UTC):
return n + self.deltatT2(n - self._J2000);
return n;
# 儒略日数转公历,UTC=1表示目标公历是UTC
#boolean UTC
def setFromJD(self, jd, UTC):
if (UTC):
jd -= self.deltatT2(jd - self._J2000);
jd += 0.5;
# 取得日数的整数部份A及小数部分F
A = self.int2(jd);
F = jd - A;
D = 0;
if (A > 2299161):
D = self.int2((A - 1867216.25) / 36524.25);
A += 1 + D - self.int2(D / 4);
A += 1524; # 向前移4年零2个月
self._Y = self.int2((A - 122.1) / 365.25);# 年
D = A - self.int2(365.25 * self._Y); # 去除整年日数后余下日数
self._M = self.int2(D / 30.6001); # 月数
self._D = D - self.int2(self._M * 30.6001);# 去除整月日数后余下日数
self._Y -= 4716;
self._M-=1;
if (self._M > 12):
self._M -= 12;
if (self._M <= 2):
self._Y+=1;
# 日的小数转为时分秒
F *= 24;
self._h = self.int2(F);
F -= self._h;
F *= 60;
self._m = self.int2(F);
F -= self._m;
F *= 60;
self._s = F;
# 设置时间,参数例:"20000101 120000"或"20000101"
def setFromStr(self, s):
self._Y = decimal.Decimal(s[0:4]);
self._M = decimal.Decimal(s[4:6]);
self._D = decimal.Decimal(s[6:8]);
if (len(s) > 9):
self._h = decimal.Decimal(s[9:11]);
self._m = decimal.Decimal(s[11:13]);
self._s = decimal.Decimal(s[13:15]); # 将5改为了2
else:
self._h = decimal.Decimal('00');
self._m = decimal.Decimal('00');
self._s = decimal.Decimal('00'); # 将5改为了2
self._Y = float(self._Y);
self._M = float(self._M);
self._D = float(self._D);
self._h = float(self._h);
self._m = float(self._m);
self._s = float(self._s);
# 日期转为串
def toStr(self):
Y = " " + str(int(self._Y));#四个空格
M = "0" + str(int(self._M));
D = "0" + str(int(self._D));
h = self._h;
m = self._m;
s = math.floor(self._s + 0.5);
if (s >= 60):
s -= 60;
m+=1;
if (m >= 60):
m -= 60;
h+=1;
sh = "0" + str(int(h));
sm = "0" + str(int(m));
ss = "0" + str(int(s));
Y = Y[len(Y)-5:2*len(Y)-5];
M = M[len(M)-2:2*len(M)-2];
D = D[len(D)-2:2*len(D)-2];
sh = sh[len(sh)-2:2*len(sh)-2];
sm = sm[len(sm)-2:2*len(sm)-2];
ss = ss[len(ss)-2:2*len(ss)-2];
return Y + "-" + M + "-" + D + " " + sh + ":" + sm + ":" + ss;
#日期转为数组
def toArray(self):
Y = int(self._Y);
M = int(self._M);
D = int(self._D);
h = int(self._h);
m = int(self._m);
s = math.floor(self._s + 0.5);
return [Y, M, D, h, m, s];
# 算出:jd转到当地UTC后,UTC日数的整数部分或小数部分
# 基于J2000力学时jd的起算点是12:00:00时,所以跳日时刻发生在12:00:00,这与日历计算发生矛盾
# 把jd改正为00:00:00起算,这样儒略日的跳日动作就与日期的跳日同步
# 改正方法为jd=jd+0.5-deltatT+shiqu/24
# 把儒略日的起点移动-0.5(即前移12小时)
# 式中shiqu是时区,北京的起算点是-8小时,shiqu取8
# 参数类型：double jd, int shiqu, boolean dec
def Dint_dec(self, jd, shiqu, dec = 1):
u = jd + 0.5 - self.deltatT2(jd) + shiqu / 24;
if (dec):
return math.floor(u); # 返回整数部分
else:
return u - math.floor(u); # 返回小数部分
# 计算两个日期的相差的天数,输入字串格式日期,如:"20080101"
def d1_d2(self, d1, d2):
Y = self._Y;
M = self._M;
D = self._D;
h = self._h;
m = self._m
s = self._s; # 备份原来的数据
self.setFromStr(d1[0:8] + " 120000");
jd1 = self.toJD(False);
self.setFromStr(d2[0:8] + " 120000");
jd2 = self.toJD(False);
self._Y = Y;
self._M = M;
self._D = D;
self._h = h;
self._m = m;
self._s = s; # 还原
if (jd1 > jd2):
return math.floor(jd1 - jd2 + .0001);
else:
return -math.floor(jd2 - jd1 + .0001);
# 返回黄赤交角(常规精度),短期精度很高
def hcjj1(self, t):
hcjjB = self._hcjjB;
rad = self._rad;
t1 = t / 36525;
t2 = t1 * t1;
t3 = t2 * t1;
return (hcjjB[0] + hcjjB[1] * t1 + hcjjB[2] * t2 + hcjjB[3] * t3) / rad;
# 黄赤转换(黄赤坐标旋转)
#传入经纬度数组，运算后传出
def HCconv(self, JW, E):
# 黄道赤道坐标变换,赤到黄E取负
HJ = self.rad2mrad(JW[0]);
HW = JW[1];
sinE = math.sin(E);
cosE = math.cos(E);
sinW = cosE * math.sin(HW) + sinE * math.cos(HW) * math.sin(HJ);
#如果出了错，一定要来看看这个atan2的处理
J = math.atan2(math.sin(HJ) * cosE - math.tan(HW) * sinE, math
.cos(HJ));
JW[0] = self.rad2mrad(J);
JW[1] = math.asin(sinW);
return JW;
# 补岁差
#double jd, double[] zb
def addPrece(self, jd, zb):
rad = self._rad;
preceB = self._preceB;
t = 1;
v = 0;
t1 = jd / 365250;
for i in range(1, 8):
t *= t1;
v += preceB[i] * t;
zb[0] = self.rad2mrad(zb[0] + (v + 2.9965 * t1) / rad);
return zb;
# 恒星周年光行差计算(黄道坐标中)
def addGxc(self, t, zb):
GXC_l = self._GXC_l;
GXC_p = self._GXC_p;
GXC_e = self._GXC_e;
GXC_k = self._GXC_k;
t1 = t / 36525;
t2 = t1 * t1;
t3 = t2 * t1;
t4 = t3 * t1;
L = GXC_l[0] + GXC_l[1] * t1 + GXC_l[2] * t2 + GXC_l[3] * t3 + GXC_l[4] * t4;
p = GXC_p[0] + GXC_p[1] * t1 + GXC_p[2] * t2;
e = GXC_e[0] + GXC_e[1] * t1 + GXC_e[2] * t2;
dL = L - zb[0];
dP = p - zb[0];
zb[0] -= GXC_k * (math.cos(dL) - e * math.cos(dP)) / math.cos(zb[1]);
zb[1] -= GXC_k * math.sin(zb[1]) * (math.sin(dL) - e * math.sin(dP));
zb[0] = self.rad2mrad(zb[0]);
return zb;
# 计算黄经章动及交角章动
# 返回章动结构体[lon, obl]这个数值对
def nutation(self, t):
nutB = self._nutB;
rad = self._rad;
#这个是传回的章动量
d = [0]*2;
d[0] = 0;
d[1] = 0;
t /= 36525;
c = 0;
t1 = t;
t2 = t1 * t1;
t3 = t2 * t1;
t4 = t3 * t1;# t5=t4*t1;
for i in range(0, len(nutB), 9):
c = nutB[i] + nutB[i + 1] * t1 + nutB[i + 2] * t2 + nutB[i + 3] * t3 + nutB[i + 4] * t4;
d[0] += (nutB[i + 5] + nutB[i + 6] * t / 10) * math.sin(c); # 黄经章动
d[1] += (nutB[i + 7] + nutB[i + 8] * t / 10) * math.cos(c); # 交角章动
d[0] /= rad * 10000; # 黄经章动
d[1] /= rad * 10000; # 交角章动
return d;
# 本函数计算赤经章动及赤纬章动
#传入和传出zb
def nutationRaDec(self, t, zb):
Ra = zb[0];
Dec = zb[1];
E = self.hcjj1(t);
sinE = math.sin(E);
cosE = math.cos(E); # 计算黄赤交角
#章动
d = self.nutation(t); # 计算黄经章动及交角章动
cosRa = math.cos(Ra);
sinRa = math.sin(Ra);
tanDec = math.tan(Dec);
zb[0] += (cosE + sinE * sinRa * tanDec) * d[0] - cosRa * tanDec * d[1]; # 赤经章动
zb[1] += sinE * cosRa * d[0] + sinRa * d[1]; # 赤纬章动
zb[0] = self.rad2mrad(zb[0]);
return zb;
# 计算E10,E11,E20等,即:某一组周期项或泊松项算出,计算前先设置EnnT时间
#传入F
def Enn(self, F):
v = 0;
EnnT = self._EnnT;
for i in range(0, len(F), 3):
v += F[i] * math.cos(F[i + 1] + EnnT * F[i + 2]);
return v;
# 返回地球位置,日心Date黄道分点坐标
def earCal(self, jd):
E10 = self._E10;
E11 = self._E11;
E12 = self._E12;
E13 = self._E13;
E14 = self._E14;
E15 = self._E15;
E20 = self._E20;
E21 = self._E21;
E30 = self._E30;
E31 = self._E31;
E32 = self._E32;
E33 = self._E33;
#设置
self._EnnT = jd / 365250;
EnnT = self._EnnT;
llr = [0]*3;
t1 = EnnT;
t2 = t1 * t1;
t3 = t2 * t1;
t4 = t3 * t1;
t5 = t4 * t1;
llr[0] = self.Enn(E10) + self.Enn(E11) * t1 + self.Enn(E12) * t2 + self.Enn(E13) * t3 + self.Enn(E14) * t4 + self.Enn(E15) * t5;
llr[1] = self.Enn(E20) + self.Enn(E21) * t1;
llr[2] = self.Enn(E30) + self.Enn(E31) * t1 + self.Enn(E32) * t2 + self.Enn(E33) * t3;
llr[0] = self.rad2mrad(llr[0]);
return llr;
# 传回jd时刻太阳的地心视黄经及黄纬
def sunCal2(self, jd):
sun = self.earCal(jd);
sun[0] += math.pi;
sun[1] = -sun[1]; # 计算太阳真位置
#章动
d = self.nutation(jd);
sun[0] = self.rad2mrad(sun[0] + d[0]); # 补章动
sun = self.addGxc(jd, sun); # 补周年黄经光行差
return sun; # 返回太阳视位置
# 计算M10,M11,M20等,计算前先设置MnnT时间
def Mnn(self, F):
v = 0;
t1 = self._MnnT;
t2 = t1 * t1;
t3 = t2 * t1;
t4 = t3 * t1;
for i in range(0, len(F), 6):
v += F[i] * math.sin(F[i + 1] + t1 * F[i + 2] + t2 * F[i + 3] + t3 * F[i + 4] + t4 * F[i + 5]);
return v;
# 返回月球位置,返回地心Date黄道坐标
def moonCal(self, jd):
M10 = self._M10;
M11 = self._M11;
M12 = self._M12;
M20 = self._M20;
M21 = self._M21;
M30 = self._M30;
M31 = self._M31;
M1n = self._M1n;
self._MnnT = jd / 36525;
MnnT = self._MnnT;
rad = self._rad;
t1 = MnnT;
t2 = t1 * t1;
t3 = t2 * t1;
t4 = t3 * t1;
llr = [0]*3;
llr[0] = (self.Mnn(M10) + self.Mnn(M11) * t1 + self.Mnn(M12) * t2) / rad;
llr[1] = (self.Mnn(M20) + self.Mnn(M21) * t1) / rad;
llr[2] = (self.Mnn(M30) + self.Mnn(M31) * t1) * 0.999999949827;
llr[0] = llr[0] + M1n[0] + M1n[1] * t1 + M1n[2] * t2 + M1n[3] * t3 + M1n[4] * t4;
llr[0] = self.rad2mrad(llr[0]); # 地心Date黄道原点坐标(不含岁差)
llr = self.addPrece(jd, llr); # 补岁差
return llr;
# 传回月球的地心视黄经及视黄纬
def moonCal2(self, jd):
moon = self.moonCal(jd);
#章动
d = self.nutation(jd);
moon[0] = self.rad2mrad(moon[0] + d[0]); # 补章动
return moon;
# 传回月球的地心视赤经及视赤纬
def moonCal3(self, jd):
moon = self.moonCal(jd);
moon = self.HCconv(moon, self.hcjj1(jd));
moon = self.nutationRaDec(jd, moon); # 补赤经及赤纬章动
# 如果黄赤转换前补了黄经章动及交章动,就不能再补赤经赤纬章动
return moon;
# ==================地心坐标中的日月位置计算===================
def jiaoCai(self, lx, t, jiao):
# lx=1时计算t时刻日月角距与jiao的差, lx=0计算t时刻太阳黄经与jiao的差
sun = self.earCal(t); # 计算太阳真位置(先算出日心坐标中地球的位置)
sun[0] += math.pi;
sun[1] = -sun[1]; # 转为地心坐标
sun = self.addGxc(t, sun); # 补周年光行差
if (lx == 0):
#章动
d = self.nutation(t);
sun[0] += d[0]; # 补黄经章动
return self.rad2mrad(jiao - sun[0]);
moon = self.moonCal(t); # 日月角差与章动无关
return self.rad2mrad(jiao - (moon[0] - sun[0]));
# ==================已知位置反求时间===================
def jiaoCal(self, t1, jiao, lx):
# t1是J2000起算儒略日数
# 已知角度(jiao)求时间(t)
# lx=0是太阳黄经达某角度的时刻计算(用于节气计算)
# lx=1是日月角距达某角度的时刻计算(用于定朔望等)
# 传入的t1是指定角度对应真时刻t的前一些天
# 对于节气计算,应满足t在t1到t1+360天之间,对于Y年第n个节气(n=0是春分),t1可取值Y*365.2422+n*15.2
# 对于朔望计算,应满足t在t1到t1+25天之间,在此范围之外,求右边的根
t2 = t1;
t = 0;
v = 0;
if (lx == 0):
t2 += 360; # 在t1到t2范围内求解(范气360天范围),结果置于t
else:
t2 += 25;
jiao *= math.pi / 180; # 待搜索目标角
# 利用截弦法计算
v1 = self.jiaoCai(lx, t1, jiao); # v1,v2为t1,t2时对应的黄经
v2 = self.jiaoCai(lx, t2, jiao);
if (v1 < v2):
v2 -= 2 * math.pi; # 减2pi作用是将周期性角度转为连续角度
k = 1;
k2 = 0; # k是截弦的斜率
for i in range(10): # 快速截弦求根,通常截弦三四次就已达所需精度
k2 = (v2 - v1) / (t2 - t1); # 算出斜率
if (abs(k2) > 1e-15):
k = k2; # 差商可能为零,应排除
t = t1 - v1 / k;
v = self.jiaoCai(lx, t, jiao);# 直线逼近法求根(直线方程的根)
if (v > 1):
v -= 2 * math.pi; # 一次逼近后,v1就已接近0,如果很大,则应减1周
if (abs(v) < 1e-8):
break; # 已达精度
t1 = t2;
v1 = v2;
t2 = t;
v2 = v; # 下一次截弦
return t;
# 节气使计算范例,y是年分,这是个测试函数
def JQtest(self, y):
J2000 = self._J2000;
jqB = [ #节气表
"春分","清明","谷雨","立夏","小满","芒种","夏至","小暑","大暑","立秋","处暑","白露",
"秋分","寒露","霜降","立冬","小雪","大雪","冬至","小寒","大寒","立春","雨水","惊蛰"];
jd = 365.2422 * (y - 2000);
q = 0;
s1 = '';
s2 = '';
for i in range(24):
q = self.jiaoCal(jd + i * 15.2, i * 15, 0);
q = q + J2000 + 8 / 24; # 计算第i个节气(i=0是春风),结果转为北京时
self.setFromJD(q, True);
s1 = self.toStr(); # 将儒略日转成世界时
self.setFromJD(q, False);
s2 = self.toStr(); # 将儒略日转成日期格式(输出日期形式的力学时)
print(jqB[i] + " : " + s1 + " " + s2); # 显示
# =================定朔弦望计算========================
def dingSuo(self, y, arc): # 这是个测试函数
J2000 = self._J2000;
jd = 365.2422 * (y - 2000);
q = 0;
s1 = '';
s2 = '';
print("月份:世界时 原子时");
for i in range(12):
q = self.jiaoCal(jd + 29.5 * i, arc, 1) + J2000 + 8 / 24; # 计算第i个节气(i=0是春风),结果转为北京时
self.setFromJD(q, True);
s1 = self.toStr(); # 将儒略日转成世界时
self.setFromJD(q, False);
s2 = self.toStr(); # 将儒略日转成日期格式(输出日期形式的力学时)
print(str(i + 1) + "月 : " + s1 + " " + s2); # 显示
#=================农历计算========================
'''
/*****
* 1.冬至所在的UTC日期保存在A[0],根据"规定1"得知在A[0]之前(含A[0])的那个UTC朔日定为年首日期
* 冬至之后的中气分保存在A[1],A[2],A[3]...A[13],其中A[12]又回到了冬至,共计算13次中气
* 2.连续计算冬至后14个朔日,即起算时间时A[0]+1 14个朔日编号为0,1...12,保存在C[0],C[1]...C[13]
* 这14个朔日表示编号为0月,1月,...12月0月的各月终止日期,但要注意实际终止日是新月初一,不属本月
* 这14个朔日同样表示编号为1月,2月...的开始日期
* 设某月编号为n,那么开始日期为C[n-1],结束日期为C[n],如果每月都含中气,该月所含的中气为A[n]
* 注:为了全总计算出13个月的大小月情况,须算出14个朔日。 3.闰年判断:含有13个月的年份是闰年 当第13月(月编号12月)终止日期大于冬至日,
* 即C[12]〉A[12], 那么该月是新年,本年没月12月,本年共12个月
* 当第13月(月编号12月)终止日期小等于冬至日,即C[12]≤A[12],那么该月是本年的有效月份,本年共13个月 4.闰年中处理闰月:
* 13个月中至少1个月份无中气,首个无中气的月置闰,在n=1...12月中找到闰月,即C[n]≤A[n]
* 从农历年首的定义知道,0月一定含有中气冬至,所以不可能是闰月。 首月有时很贪心,除冬至外还可能再吃掉本年或前年的另一个中气
* 定出闰月后,该月及以后的月编号减1 5.以上所述的月编号不是日常生活中说的"正月","二月"等月名称:
* 如果"建子",0月为首月,如果"建寅",2月的月名"正月",3月是"二月",其余类推
*****/
'''
# 农历排月序计算,可定出农历
def paiYue(self, y):
J2000 = self._J2000;
yueMing = [ "正", "二", "三", "四", "五", "六",
"七", "八", "九", "十", "十一", "十二" ];
jqB = [ #节气表
"春分","清明","谷雨","立夏","小满","芒种","夏至","小暑","大暑","立秋","处暑","白露",
"秋分","寒露","霜降","立冬","小雪","大雪","冬至","小寒","大寒","立春","雨水","惊蛰"];
#中气
zq = [0]*20;
#节气
jq = [0]*20;
#全朔表
hs = [0]*20;
# var zq=new Array(),jq=new Array(), hs=new Array(); #中气表,节气表,日月合朔表
# 从冬至开始,连续计算14个中气时刻
t1 = 365.2422 * (y - 2000) - 50; # 农历年首始于前一年的冬至,为了节气中气一起算,取前年大雪之前
for i in range(14): # 计算节气(从冬至开始),注意:返回的是力学时
zq[i] = self.jiaoCal(t1 + i * 30.4, i * 30 - 90, 0); # 中气计算,冬至的太阳黄经是270度(或-90度)
jq[i] = self.jiaoCal(t1 + i * 30.4, i * 30 - 105, 0); # 顺便计算节气,它不是农历定朔计算所必需的
# 在冬至过后,连续计算14个日月合朔时刻
dongZhiJia1 = zq[0] + 1 - self.Dint_dec(zq[0], 8, False); # 冬至过后的第一天0点的儒略日数
hs[0] = self.jiaoCal(dongZhiJia1, 0, 1); # 首月结束的日月合朔时刻
for i in range(1, 14):
hs[i] = self.jiaoCal(hs[i - 1] + 25, 0, 1);
# 算出中气及合朔时刻的日数(不含小数的日数计数,以便计算日期之间的差值)
A = [0]*20;
B = [0]*20;
C = [0]*20;
# var A=new Array(), B=new Array(), C=new Array();
for i in range(14):# 取当地UTC日数的整数部分
A[i] = self.Dint_dec(zq[i], 8, True);
B[i] = self.Dint_dec(jq[i], 8, True);
C[i] = self.Dint_dec(hs[i], 8, True);
# 闰月及大小月分析
tot = 12;
nun = -1;
yn = [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 0, 0 ]; # 月编号
if (C[12] <= A[12]): # 闰月分析 合朔小于中气
#print(C[12], A[12]);
yn[12] = 12;
tot = 13; # 编号为12的月是本年的有效月份,本年总月数13个
for i in range(1, 13):
if (C[i] <= A[i]):
#print(i);
break;
nun = i-1;
for j in range(nun, 13):
yn[j] = j; # 注意yn中不含农历首月(所以取i-1),在公历中农历首月总是去年的所以不多做计算
#print(nun); #打印闰月的月份
#print(yn); #打印月序阵列
syn= ['0']*20;
for i in range(tot): # 转为建寅月名,并做大小月分析
syn[i] = yueMing[(yn[i] + 10)%12]; # 转建寅月名
if (i == nun):
syn[i] += "闰";
else:
syn[i] += "月"; # 标记是否闰月
if (C[i + 1] - C[i] > 29):
syn[i] += "大";
else:
syn[i] += "小"; # 标记大小月
# 显示
out = '{0:^3}{1:^19}{2:^3}{3:^19}{4:^4}{5:^20}'.format('节气', '手表时', '中气', '手表时', '农历月', '朔的手表时');
print(out);
out = '';
for i in range(tot):
zm = (i * 2 + 18)%24;
jm = (i * 2 + 17)%24; # 中气名节气名
self.setFromJD(jq[i] + J2000 + 8 / 24, True);
out += jqB[jm] + ":" + self.toStr() + " "; # 显示节气
self.setFromJD(zq[i] + J2000 + 8 / 24, True);
out += jqB[zm] + ":" + self.toStr() + " "; # 显示中气
self.setFromJD(hs[i] + J2000 + 8 / 24, True);
out += syn[i] + ":" + self.toStr() + "\r\n"; # 显示日月合朔
print(out);
# 农历排月序计算,可定出农历
# 返回当年的各节各气，各月的一个将所有时间排序后的格式化数组
def paiYueCalc(self, y):
J2000 = self._J2000;
yueMing = [ "正", "二", "三", "四", "五", "六",
"七", "八", "九", "十", "十一", "十二" ];
jqB = [ #节气表
"春分","清明","谷雨","立夏","小满","芒种","夏至","小暑","大暑","立秋","处暑","白露",
"秋分","寒露","霜降","立冬","小雪","大雪","冬至","小寒","大寒","立春","雨水","惊蛰"];
#中气
zq = [0]*20;
#节气
jq = [0]*20;
#全朔表
hs = [0]*20;
# var zq=new Array(),jq=new Array(), hs=new Array(); #中气表,节气表,日月合朔表
# 从冬至开始,连续计算14个中气时刻
t1 = 365.2422 * (y - 2000) - 50; # 农历年首始于前一年的冬至,为了节气中气一起算,取前年大雪之前
for i in range(14): # 计算节气(从冬至开始),注意:返回的是力学时
zq[i] = self.jiaoCal(t1 + i * 30.4, i * 30 - 90, 0); # 中气计算,冬至的太阳黄经是270度(或-90度)
jq[i] = self.jiaoCal(t1 + i * 30.4, i * 30 - 105, 0); # 顺便计算节气,它不是农历定朔计算所必需的
# 在冬至过后,连续计算14个日月合朔时刻
dongZhiJia1 = zq[0] + 1 - self.Dint_dec(zq[0], 8, False); # 冬至过后的第一天0点的儒略日数
hs[0] = self.jiaoCal(dongZhiJia1, 0, 1); # 首月结束的日月合朔时刻
for i in range(1, 14):
hs[i] = self.jiaoCal(hs[i - 1] + 25, 0, 1);
# 算出中气及合朔时刻的日数(不含小数的日数计数,以便计算日期之间的差值)
A = [0]*20;
B = [0]*20;
C = [0]*20;
# var A=new Array(), B=new Array(), C=new Array();
for i in range(14):# 取当地UTC日数的整数部分
A[i] = self.Dint_dec(zq[i], 8, True);
B[i] = self.Dint_dec(jq[i], 8, True);
C[i] = self.Dint_dec(hs[i], 8, True);
# 闰月及大小月分析
tot = 12;
nun = -1;
yn = [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 0, 0 ]; # 月编号
if (C[12] <= A[12]): # 闰月分析 合朔小于中气
#print(C[12], A[12]);
yn[12] = 12;
tot = 13; # 编号为12的月是本年的有效月份,本年总月数13个
for i in range(1, 13):
if (C[i] <= A[i]):
#print(i);
break;
nun = i-1;
for j in range(nun, 13):
yn[j] = j; # 注意yn中不含农历首月(所以取i-1),在公历中农历首月总是去年的所以不多做计算
#print(nun); #打印闰月的月份
#print(yn); #打印月序阵列
syn= ['0']*20;
for i in range(tot): # 转为建寅月名,并做大小月分析
syn[i] = yueMing[(yn[i] + 10)%12]; # 转建寅月名
if (i == nun):
syn[i] += "闰";
else:
syn[i] += "月"; # 标记是否闰月
if (C[i + 1] - C[i] > 29):
syn[i] += "大";
else:
syn[i] += "小"; # 标记大小月
result = [];
for i in range(tot):
zm = (i * 2 + 18)%24;
jm = (i * 2 + 17)%24; # 中气名节气名
self.setFromJD(jq[i] + J2000 + 8 / 24, True);
a = self.toArray();
result.append([jqB[jm], a]);
self.setFromJD(zq[i] + J2000 + 8 / 24, True);
a = self.toArray();
result.append([jqB[zm], a]);
self.setFromJD(hs[i] + J2000 + 8 / 24, True);
a = self.toArray();
result.append([syn[i], a]);
result = sorted(result, key=lambda a:a[1]);
return result;
'''
# 显示
out = '{0:^3}{1:^19}{2:^3}{3:^19}{4:^4}{5:^20}'.format('节气', '手表时', '中气', '手表时', '农历月', '朔的手表时');
print(out);
out = '';
for i in range(tot):
zm = (i * 2 + 18)%24;
jm = (i * 2 + 17)%24; # 中气名节气名
self.setFromJD(jq[i] + J2000 + 8 / 24, True);
out += jqB[jm] + ":" + self.toStr() + " "; # 显示节气
self.setFromJD(zq[i] + J2000 + 8 / 24, True);
out += jqB[zm] + ":" + self.toStr() + " "; # 显示中气
self.setFromJD(hs[i] + J2000 + 8 / 24, True);
out += syn[i] + ":" + self.toStr() + "\r\n"; # 显示日月合朔
print(out);
'''
def print(self):
self.paiYue(-999);</span>当然，还有一部分计算四柱的代码，现在阿伟不贴，等以后修炼到八字排盘和子平八字时再贴。
工具既然有了，当然要验证一下它的精准度，否则以后推算历史时间，谁能信服呢。
下面是一些对比数据：
节气是肯定没问题的了，毕竟用的是同一套代码。
下面主要看下四柱的推算：
也就是说近代以至未来的所有数据都是一样的，下面看远一点的近代。
可见年，日，时是完全没异议的，月柱上差一个月，但阿伟觉得计算的没什么问题，
所有相差时间都明白摆着呢。
所以这个可以到时结合当年的史书来对比判断，先各自保留意见。
由于不管怎么说，大家的差异只在一月或一天之间，阿伟觉得这个计算代码是可置信的。
于是历法就这么定了。
本节到此结束，欲知后事如何，请看下回分解。
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原文地址：http://blog.csdn.net/mwsister/article/details/51582750
