flutter_custom_calendar/lib/utils/solar_term_util.dart

import 'dart:core';
import 'dart:math';

import 'package:flutter_custom_calendar/utils/math_util.dart';

class SolarTermUtil {
  /// 24节气
  static List<String> SOLAR_TERMS = [
    "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",
  ];

  /// 每弧度的角秒数
  static final double SECOND_PER_RAD = 180 * 3600 / pi;

  /// 每弧度的角度数
  static final double ANGLE_PER_RAD = 180 / pi;

  /// 日历计算
  ///   * 2000年前儒略日数(2000-1-1)
  static final double J2000 = 2451545;

  /// 黄赤交角系数表
  static final List<double> H_C_ANGLE_TABLE = [
    0,
    50287.92262,
    111.24406,
    0.07699,
    -0.23479,
    -0.00178,
    0.00018,
    0.00001
  ];

  /// 世界时与原子时之差计算表
  static final List<double> DTS = [
    -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
  ];

  /**
   * 离心率
   */
  static final List<double> GXC_E = [0.016708634, -0.000042037, -0.0000001267];

  /**
   * 近点
   */
  static final List<double> GXC_P = [
    102.93735 / ANGLE_PER_RAD,
    1.71946 / ANGLE_PER_RAD,
    0.00046 / ANGLE_PER_RAD
  ];

  /**
   * 太平黄经
   */
  static final List<double> GXC_L = [
    280.4664567 / ANGLE_PER_RAD,
    36000.76982779 / ANGLE_PER_RAD,
    0.0003032028 / ANGLE_PER_RAD,
    1 / 49931000 / ANGLE_PER_RAD,
    -1 / 153000000 / ANGLE_PER_RAD
  ];

  /**
   * 光行差常数
   */
  static final double GXC_K = 20.49552 / SECOND_PER_RAD;

  /**
   * 向下取整
   *
   * @param v v
   * @return 取整数部分
   */
  static double doubleFloor(double v) {
    v = v.floor().toDouble();
    if (v < 0) return v + 1;
    return v;
  }

  /**
   * 对超过0-2PI的角度转为0-2PI
   *
   * @param v v
   * @return 对超过0-2PI的角度转为0-2PI
   */
  static double rad2mrad(double v) {
    v = v % (2 * pi);
    if (v < 0) return v + 2 * pi;

    return v;
  }

  /**
   * 计算世界时与原子时之差,传入年
   *
   * @param year 年
   * @return 计算世界时与原子时之差
   */
  static double worldTimeDiff(double year) {
    int i;
    for (i = 0; i < 100; i += 5) if (year < DTS[i + 5] || i == 95) break;

    double t1 = (year - DTS[i]) / (DTS[i + 5] - DTS[i]) * 10;
    double t2 = t1 * t1;
    double 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)
   *
   * @param julian 儒略日
   * @return 计算UTC与原子时的差
   */
  static double atomTimeDiff(double julian) {
    return worldTimeDiff(julian / 365.2425 + 2000) / 86400.0;
  }

  /**
   * 公历转儒略日,UTC=1表示原日期是UTC
   *
   * @param UTC UTC
   * @return 公历转儒略日, UTC=1表示原日期是UTC
   */
  static double toJulian(Time time, bool UTC) {
    double y = time.year; // 取出年月
    double m = time.month;
    double n = 0;

    if (m <= 2) {
      m += 12;
      y--;
    }

    if (time.year * 372 + time.month * 31 + time.day >= 588829) {
// 判断是否为格里高利历日1582*372+10*31+15
      n = doubleFloor(y / 100);
      n = 2 - n + doubleFloor(n / 4); // 加百年闰
    }

    n += doubleFloor(365.2500001 * (y + 4716)); // 加上年引起的偏移日数
    n += doubleFloor(30.6 * (m + 1)) + time.day; // 加上月引起的偏移日数及日偏移数
    n += ((time.second / 60 + time.minute) / 60 + time.hour) / 24 - 1524.5;
    if (UTC) return n + atomTimeDiff(n - J2000);

    return n;
  }

  /**
   * 儒略日数转公历,UTC=1表示目标公历是UTC
   *
   * @param jd  jd
   * @param UTC UTC
   */
  static Time setFromJulian(double jd, bool UTC) {
    Time time = new Time();
    if (UTC) jd -= atomTimeDiff(jd - J2000);

    jd += 0.5;

// 取得日数的整数部份A及小数部分F
    double A = doubleFloor(jd);
    double F = jd - A;
    double D;

    if (A > 2299161) {
      D = doubleFloor((A - 1867216.25) / 36524.25);
      A += 1 + D - doubleFloor(D / 4);
    }
    A += 1524; // 向前移4年零2个月
    time.year = doubleFloor((A - 122.1) / 365.25); // 年
    D = A - doubleFloor(365.25 * time.year); // 去除整年日数后余下日数
    time.month = doubleFloor(D / 30.6001); // 月数
    time.day = D - doubleFloor(time.month * 30.6001); // 去除整月日数后余下日数
    time.year -= 4716;
    time.month--;
    if (time.month > 12) time.month -= 12;
    if (time.month <= 2) time.year++;
// 日的小数转为时分秒
    F *= 24;
    time.hour = doubleFloor(F);
    F -= time.hour;
    F *= 60;
    time.minute = doubleFloor(F);
    F -= time.minute;
    F *= 60;
    time.second = F;
    return time;
  }

  /**
   * 补岁差
   *
   * @param jd jd
   * @param zb zb
   */
  static void precession(double jd, List<double?> zb) {
    int i;
    double t = 1, v = 0, t1 = jd / 365250;
    for (i = 1; i < 8; i++) {
      t *= t1;
      v += H_C_ANGLE_TABLE[i] * t;
    }
    zb[0] = rad2mrad(zb[0]! + (v + 2.9965 * t1) / SECOND_PER_RAD);
  }

  /**
   * 恒星周年光行差计算(黄道坐标中)
   *
   * @param t  t
   * @param zb zb
   */
  static void addGxc(double t, List<double> zb) {
    double t1 = t / 36525;
    double t2 = t1 * t1;
    double t3 = t2 * t1;
    double t4 = t3 * t1;
    double L = GXC_L[0] +
        GXC_L[1] * t1 +
        GXC_L[2] * t2 +
        GXC_L[3] * t3 +
        GXC_L[4] * t4;
    double p = GXC_P[0] + GXC_P[1] * t1 + GXC_P[2] * t2;
    double e = GXC_E[0] + GXC_E[1] * t1 + GXC_E[2] * t2;
    double dL = L - zb[0], dP = p - zb[0];
    zb[0] -= GXC_K * (cos(dL) - e * cos(dP)) / cos(zb[1]);
    zb[1] -= GXC_K * sin(zb[1]) * (sin(dL) - e * sin(dP));
    zb[0] = rad2mrad(zb[0]);
  }

  /**
   * 章动计算
   */
  static final List<double> nutB = [
    // 章动表
    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
  ];

  /**
   * 计算黄经章动及交角章动
   *
   * @param t t
   * @return 计算黄经章动及交角章动
   */
  static Nutation nutation(double t) {
    Nutation d = new Nutation();
    d.Lon = 0;
    d.Obl = 0;
    t /= 36525;
    double c, t1 = t, t2 = t1 * t1, t3 = t2 * t1, t4 = t3 * t1; // t5=t4*t1;
    for (int i = 0; i < nutB.length; i += 9) {
      c = nutB[i] +
          nutB[i + 1] * t1 +
          nutB[i + 2] * t2 +
          nutB[i + 3] * t3 +
          nutB[i + 4] * t4;
      d.Lon += (nutB[i + 5] + nutB[i + 6] * t / 10) * sin(c); // 黄经章动
      d.Obl += (nutB[i + 7] + nutB[i + 8] * t / 10) * cos(c); // 交角章动
    }
    d.Lon /= SECOND_PER_RAD * 10000; // 黄经章动
    d.Obl /= SECOND_PER_RAD * 10000; // 交角章动
    return d;
  }

  /***************************************
   * 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
   *****************************************/
//地球运动VSOP87参数
  static final List<double> 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
  ];
  static final List<double> 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
  ];
  static final List<double> 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
  ];
  static final List<double> E13 = [
    0.00000289226,
    5.84384198723,
    6283.0758499914,
    0.00000034955,
    0.00000000000,
    0.0000000000,
    0.00000016819,
    5.48766912348,
    12566.1516999828
  ];
  static final List<double> E14 = [
    0.00000114084,
    3.14159265359,
    0.0000000000,
    0.00000007717,
    4.13446589358,
    6283.0758499914,
    0.00000000765,
    3.83803776214,
    12566.1516999828
  ];
  static final List<double> E15 = [0.00000000878, 3.14159265359, 0.0000000000];
  static final List<double> 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
  ];
  static final List<double> E21 = [
    0.00000009030,
    3.89729061890,
    5507.5532386674,
    0.00000006177,
    1.73038850355,
    5223.6939198022
  ];
  static final List<double> 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
  ];
  static final List<double> E31 = [
    0.00103018608,
    1.10748969588,
    6283.0758499914,
    0.00001721238,
    1.06442301418,
    12566.1516999828,
    0.00000702215,
    3.14159265359,
    0.0000000000
  ];
  static final List<double> E32 = [
    0.00004359385,
    5.78455133738,
    6283.0758499914
  ];
  static final List<double> E33 = [
    0.00000144595,
    4.27319435148,
    6283.0758499914
  ];

//月球运动参数
  static final List<double> M10 = [
    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,
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    32409.6866054649,
    -1.9423071E-04,
    5.4047029E-08,
    -2.6829589E-10,
    4.3740095,
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    22128.5152003943,
    -2.8202511E-04,
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    6.2332010E-10,
    -3.9976134,
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    -2.3322447E-09,
    -3.2096876,
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    14985.4400105508,
    -2.5159493E-04,
    -1.5449073E-07,
    7.2324505E-10,
    -2.9145404,
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    24499.7476701576,
    8.3460748E-05,
    3.1497443E-07,
    -1.5495082E-09,
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    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
  ];
  static final List<double> M11 = [
    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
  ];
  static final List<double> 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
  ];
  static final List<double> M20 = [
    18461.2400600,
    1.6279052448,
    8433.4661576405,
    -6.4021295E-05,
    -4.9499477E-09,
    2.0216731E-11,
    1010.1671484,
    3.9834598170,
    16762.1575823656,
    8.8291456E-05,
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    -1.1661223E-09,
    999.6936555,
    0.7276493275,
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    8.7690283983,
    7109.2881325435,
    -2.1668263E-06,
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    -3.2894608E-10,
    199.4837596,
    9.6692843156,
    15647.5290230993,
    -2.8252217E-04,
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    117.2606951,
    12.0248388879,
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    4.9705523E-07,
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    -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
  ];
  static final List<double> M21 = [
    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
  ];
  static final List<double> M30 = [
    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
  ];
  static final List<double> 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
  ];
  static final List<double> M1n = [
    3.81034392032, 8.39968473021E+03, -3.31919929753E-05, //月球平黄经系数
    3.20170955005E-08, -1.53637455544E-10
  ];

  static double EnnT = 0; // 调用Enn前先设置EnnT时间变量

  /**
   * 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
   *
   * @param F F
   * @return 计算E10, E11, E20等
   */
  static double Enn(List<double> F) {
    double v = 0;
    for (int i = 0; i < F.length; i += 3)
      v += F[i] * 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
   *
   * @param jd jd
   * @return 返回地球位置, 日心Date黄道分点坐标
   */
  static List<double> earCal(double jd) {
    EnnT = jd / 365250;
    List<double> llr = [];
    double t1 = EnnT, t2 = t1 * t1, t3 = t2 * t1, t4 = t3 * t1, t5 = t4 * t1;
    llr[0] = Enn(E10) +
        Enn(E11) * t1 +
        Enn(E12) * t2 +
        Enn(E13) * t3 +
        Enn(E14) * t4 +
        Enn(E15) * t5;
    llr[1] = Enn(E20) + Enn(E21) * t1;
    llr[2] = Enn(E30) + Enn(E31) * t1 + Enn(E32) * t2 + Enn(E33) * t3;
    llr[0] = rad2mrad(llr[0]);
    return llr;
  }

// ==================月位置计算===================
  static double MnnT = 0; // 调用Mnn前先设置MnnT时间变量

  /**
   * 计算M10,M11,M20等,计算前先设置MnnT时间
   *
   * @param F F
   * @return 计算M10, M11, M20等, 计算前先设置MnnT时间
   */
  static double Mnn(List<double> F) {
    double v = 0, t1 = MnnT, t2 = t1 * t1, t3 = t2 * t1, t4 = t3 * t1;
    for (int i = 0; i < F.length; i += 6)
      v += F[i] *
          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
   *
   * @param julian 儒略历
   * @return return 地心黄道坐标
   */
  static List<double?> moonCoord(double julian) {
    MnnT = julian / 36525;
    double t1 = MnnT, t2 = t1 * t1, t3 = t2 * t1, t4 = t3 * t1;
    List<double?> llr = [];
    llr[0] = (Mnn(M10) + Mnn(M11) * t1 + Mnn(M12) * t2) / SECOND_PER_RAD;
    llr[1] = (Mnn(M20) + Mnn(M21) * t1) / SECOND_PER_RAD;
    llr[2] = (Mnn(M30) + 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] = rad2mrad(llr[0]!); // 地心Date黄道原点坐标(不含岁差)
    precession(julian, llr); // 补岁差
    return llr;
  }

  /**
   * 地心坐标中的日月位置计算
   *
   * @param lx    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
   * @param time  time
   * @param angle angle
   * @return 地心坐标中的日月位置计算
   */
  static double angleDiff(int lx, double time, double angle) {
    List<double> sun = earCal(time); // 计算太阳真位置(先算出日心坐标中地球的位置)
    sun[0] += pi;
    sun[1] = -sun[1]; // 转为地心坐标
    addGxc(time, sun); // 补周年光行差
    if (lx == 0) {
      Nutation d = nutation(time);
      sun[0] += d.Lon; // 补黄经章动
      return rad2mrad(angle - sun[0]);
    }
    List<double?> moon = moonCoord(time); // 日月角差与章动无关
    return rad2mrad(angle - (moon[0]! - sun[0]));
  }

  /**
   * 已知位置反求时间,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
   *
   * @param t1    J2000起算儒略日数,传入的t1是指定角度对应真时刻t的前一些天
   * @param angle 已知角度(jiao)求时间(t)
   * @param lx    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)
   * @return 已知位置反求时间
   */
  static double getTimeFromAngle(double t1, double angle, int lx) {
    double t2 = t1, t = 0, v;
    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;
    angle *= pi / 180; // 待搜索目标角
// 利用截弦法计算
    double v1 = angleDiff(lx, t1, angle); // v1,v2为t1,t2时对应的黄经
    double v2 = angleDiff(lx, t2, angle);
    if (v1 < v2) v2 -= 2 * pi; // 减2pi作用是将周期性角度转为连续角度
    double k = 1, k2; // k是截弦的斜率
    for (int i = 0; i < 10; i++) {
      // 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 (Math.abs(k2) > 1e-15) k = k2; // 差商可能为零,应排除
      t = t1 - v1 / k;
      v = angleDiff(lx, t, angle); // 直线逼近法求根(直线方程的根)
      if (v > 1) v -= 2 * pi; // 一次逼近后,v1就已接近0,如果很大,则应减1周
      if (Math.abs(v) < 1e-8) break; // 已达精度
      t1 = t2;
      v1 = v2;
      t2 = t;
      v2 = v; // 下一次截弦
    }
    return t;
  }

  /**
   * 获得某一年24节气
   *
   * @param year 年
   * @return 24节气
   */

  static List<String?> getSolarTerms(int year) {
    List<String?> solarTerms = [];
    List<String?> preOffset = getSolarTermsPreOffset(year - 1);
    List<String?> nextOffset = getSolarTermsNextOffset(year - 1);
    System.arraycopy(preOffset, 0, solarTerms, 0, preOffset.length);
    System.arraycopy(nextOffset, 0, solarTerms, 22, nextOffset.length);

    double jd = 365.2422 * (year - 2000), q;
    for (int i = 0; i < 19; i++) {
      q = getTimeFromAngle(jd + i * 15.2, i * 15.toDouble(), 0);
      q = q + J2000 + 8 / 24; // 计算第i个节气(i=0是春分),结果转为北京时
      Time time = setFromJulian(q, true);
      solarTerms[i + 3] = time.toString() + SOLAR_TERMS[i];
    }

    return solarTerms;
  }

  /**
   * 要获得2018年24节气需要传入2017年
   *
   * @param year 要获得2018年24节气需要传入2017年
   * @return 返回 立春 雨水 惊蛰
   */
  static List<String?> getSolarTermsPreOffset(int year) {
    List<String?> solarTerms = [];
    double jd = 365.2422 * (year - 2000), q;
    for (int i = 21; i < 24; i++) {
      q = getTimeFromAngle(jd + i * 15.2, i * 15.toDouble(), 0);
      q = q + J2000 + 8 / 24; // 计算第i个节气(i=0是春分)
      Time time = setFromJulian(q, true);
      solarTerms[i - 21] = time.toString() + SOLAR_TERMS[i];
    }
    return solarTerms;
  }

  /**
   * 要获得2018年24节气需要传入2017年
   *
   * @param year 要获得2018年24节气需要传入2017年
   * @return 返回 小寒大寒
   */
  static List<String?> getSolarTermsNextOffset(int year) {
    List<String?> solarTerms = [];
    double jd = 365.2422 * (year - 2000), q;
    for (int i = 19; i < 21; i++) {
      q = getTimeFromAngle(jd + i * 15.2, i * 15.toDouble(), 0);
      q = q + J2000 + 8 / 24; // 计算第i个节气(i=0是春分)
      Time time = setFromJulian(q, true);
      solarTerms[i - 19] = time.toString() + SOLAR_TERMS[i];
    }
    return solarTerms;
  }
}

/**
 * 章动
 */
class Nutation {
  /**
   * 章动角
   */
  late double Lon;

  /**
   * 交角
   */
  late double Obl;
}

class Time {
  late double year;
  late double month;
  late double day;
  late double hour;
  late double minute;
  late double second;

  String toString() {
    return doubleToString(year) + doubleToString(month) + doubleToString(day);
  }

  static String doubleToString(double value) {
    int v = value.toInt();
    return value < 10 ? "0$v" : v.toString();
  }
}