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5.2、黄经：（算法描述请参考相关书籍，为了节省空间和时间，这里请罗列出 C++ 实现代码）
//
// 计算太阳黄经用参数
const VSOP87COEFFICIENT Earth_SLG0[64] =
{
{ 175347046.0 , 0.0000000 , 000000.0000000 } ,
{ 3341656.0 , 4.6692568 , 6283.0758500 } ,
{ 34894.0 , 4.6261000 , 12566.1517000 } ,
{ 3497.0 , 2.7441000 , 5753.3849000 } ,
{ 3418.0 , 2.8289000 , 3.5231000 } ,
{ 3136.0 , 3.6277000 , 77713.7715000 } ,
{ 2676.0 , 4.4181000 , 7860.4194000 } ,
{ 2343.0 , 6.1352000 , 3930.2097000 } ,
{ 1324.0 , 0.7425000 , 11506.7698000 } ,
{ 1273.0 , 2.0371000 , 529.6910000 } ,
{ 1199.0 , 1.1096000 , 1577.3435000 } ,
{ 990.0 , 5.2330000 , 5884.9270000 } ,
{ 902.0 , 2.0450000 , 26.2980000 } ,
{ 857.0 , 3.5080000 , 398.1490000 } ,
{ 780.0 , 1.1790000 , 5223.6940000 } ,
{ 753.0 , 2.5330000 , 5507.5530000 } ,
{ 505.0 , 4.5830000 , 18849.2280000 } ,
{ 492.0 , 4.2050000 , 775.5230000 } ,
{ 357.0 , 2.9200000 , 000000.0670000 } ,
{ 317.0 , 5.8490000 , 11790.6290000 } ,
{ 284.0 , 1.8990000 , 796.2880000 } ,
{ 271.0 , 0.3150000 , 10977.0790000 } ,
{ 243.0 , 0.3450000 , 5486.7780000 } ,
{ 206.0 , 4.8060000 , 2544.3140000 } ,
{ 205.0 , 1.8690000 , 5573.1430000 } ,
{ 202.0 , 2.4580000 , 6069.7770000 } ,
{ 156.0 , 0.8330000 , 213.2990000 } ,
{ 132.0 , 3.4110000 , 2942.4630000 } ,
{ 126.0 , 1.0830000 , 20.7750000 } ,
{ 115.0 , 0.6450000 , 000000.9800000 } ,
{ 103.0 , 0.6360000 , 4694.0030000 } ,
{ 102.0 , 0.9760000 , 15720.8390000 } ,
{ 102.0 , 4.2670000 , 7.1140000 } ,
{ 99.0 , 6.2100000 , 2146.1700000 } ,
{ 98.0 , 0.6800000 , 155.4200000 } ,
{ 86.0 , 5.9800000 , 161000.6900000 } ,
{ 85.0 , 1.3000000 , 6275.9600000 } ,
{ 85.0 , 3.6700000 , 71430.7000000 } ,
{ 80.0 , 1.8100000 , 17260.1500000 } ,
{ 79.0 , 3.0400000 , 12036.4600000 } ,
{ 75.0 , 1.7600000 , 5088.6300000 } ,
{ 74.0 , 3.5000000 , 3154.6900000 } ,
{ 74.0 , 4.6800000 , 801.8200000 } ,
{ 70.0 , 0.8300000 , 9437.7600000 } ,
{ 62.0 , 3.9800000 , 8827.3900000 } ,
{ 61.0 , 1.8200000 , 7084.9000000 } ,
{ 57.0 , 2.7800000 , 6286.6000000 } ,
{ 56.0 , 4.3900000 , 14143.5000000 } ,
{ 56.0 , 3.4700000 , 6279.5500000 } ,
{ 52.0 , 0.1900000 , 12139.5500000 } ,
{ 52.0 , 1.3300000 , 1748.0200000 } ,
{ 51.0 , 0.2800000 , 5856.4800000 } ,
{ 49.0 , 0.4900000 , 1194.4500000 } ,
{ 41.0 , 5.3700000 , 8429.2400000 } ,
{ 41.0 , 2.4000000 , 19651.0500000 } ,
{ 39.0 , 6.1700000 , 10447.3900000 } ,
{ 37.0 , 6.0400000 , 10213.2900000 } ,
{ 37.0 , 2.5700000 , 1059.3800000 } ,
{ 36.0 , 1.7100000 , 2352.8700000 } ,
{ 36.0 , 1.7800000 , 6812.7700000 } ,
{ 33.0 , 0.5900000 , 17789.8500000 } ,
{ 30.0 , 0.4400000 , 83996.8500000 } ,
{ 30.0 , 2.7400000 , 1349.8700000 } ,
{ 25.0 , 3.1600000 , 4690.4800000 }
};
const VSOP87COEFFICIENT Earth_SLG1[34] =
{
{ 628331966747.0 , 0.000000 , 00000.0000000 } ,
{ 206059.0 , 2.678235 , 6283.0758500 } ,
{ 4303.0 , 2.635100 , 12566.1517000 } ,
{ 425.0 , 1.590000 , 3.5230000 } ,
{ 119.0 , 5.796000 , 26.2980000 } ,
{ 109.0 , 2.966000 , 1577.3440000 } ,
{ 93.0 , 2.590000 , 18849.2300000 } ,
{ 72.0 , 1.140000 , 529.6900000 } ,
{ 68.0 , 1.870000 , 398.1500000 } ,
{ 67.0 , 4.410000 , 5507.5500000 } ,
{ 59.0 , 2.890000 , 5223.6900000 } ,
{ 56.0 , 2.170000 , 155.4200000 } ,
{ 45.0 , 0.400000 , 796.3000000 } ,
{ 36.0 , 0.470000 , 775.5200000 } ,
{ 29.0 , 2.650000 , 7.1100000 } ,
{ 21.0 , 5.430000 , 00000.9800000 } ,
{ 19.0 , 1.850000 , 5486.7800000 } ,
{ 19.0 , 4.970000 , 213.3000000 } ,
{ 17.0 , 2.990000 , 6275.9600000 } ,
{ 16.0 , 0.030000 , 2544.3100000 } ,
{ 16.0 , 1.430000 , 2146.1700000 } ,
{ 15.0 , 1.210000 , 10977.0800000 } ,
{ 12.0 , 2.830000 , 1748.0200000 } ,
{ 12.0 , 3.260000 , 5088.6300000 } ,
{ 12.0 , 5.270000 , 1194.4500000 } ,
{ 12.0 , 2.080000 , 4694.0000000 } ,
{ 11.0 , 0.770000 , 553.5700000 } ,
{ 10.0 , 1.300000 , 6286.6000000 } ,
{ 10.0 , 4.240000 , 1349.8700000 } ,
{ 9.0 , 2.700000 , 242.7300000 } ,
{ 9.0 , 5.640000 , 951.7200000 } ,
{ 8.0 , 5.300000 , 2352.8700000 } ,
{ 6.0 , 2.650000 , 9437.7600000 } ,
{ 6.0 , 4.670000 , 4690.4800000 }
};
const VSOP87COEFFICIENT Earth_SLG2[20] =
{
{ 52919.0 , 0.0000 , 00000.0000 } ,
{ 8720.0 , 1.0721 , 6283.0758 } ,
{ 309.0 , 0.8670 , 12566.1520 } ,
{ 27.0 , 0.0500 , 3.5200 } ,
{ 16.0 , 5.1900 , 26.3000 } ,
{ 16.0 , 3.6800 , 155.4200 } ,
{ 10.0 , 0.7600 , 18849.2300 } ,
{ 9.0 , 2.0600 , 77713.7700 } ,
{ 7.0 , 0.8300 , 775.5200 } ,
{ 5.0 , 4.6600 , 1577.3400 } ,
{ 4.0 , 1.0300 , 7.1100 } ,
{ 4.0 , 3.4400 , 5573.1400 } ,
{ 3.0 , 5.1400 , 796.3000 } ,
{ 3.0 , 6.0500 , 5507.5500 } ,
{ 3.0 , 1.1900 , 242.7300 } ,
{ 3.0 , 6.1200 , 529.6900 } ,
{ 3.0 , 0.3100 , 398.1500 } ,
{ 3.0 , 2.2800 , 553.5700 } ,
{ 2.0 , 4.3800 , 5223.6900 } ,
{ 2.0 , 3.7500 , 00000.9800 }
};
const VSOP87COEFFICIENT Earth_SLG3[ 7] =
{
{ 289.0 , 5.844 , 6283.076 } ,
{ 35.0 , 0.000 , 00000.000 } ,
{ 17.0 , 5.490 , 12566.150 } ,
{ 3.0 , 5.200 , 155.420 } ,
{ 1.0 , 4.720 , 3.520 } ,
{ 1.0 , 5.300 , 18849.230 } ,
{ 1.0 , 5.970 , 242.730 }
};
const VSOP87COEFFICIENT Earth_SLG4[ 3] =
{
{ 114.0 , 3.142 , 00000.00 } ,
{ 8.0 , 4.130 , 6283.08 } ,
{ 1.0 , 3.840 , 12566.15 }
};
const VSOP87COEFFICIENT Earth_SLG5[ 1] =
{
{ 1.0 , 3.14 , 0.0 }
};
// ------------------------------------------------------------------------
//
// 计算太阳在黄道面上的经度（单位：度）
//
// dbJD[IN]：儒略日（计算该时刻太阳在黄道面上的经度）
//
// 返回太阳黄经度数
// ------------------------------------------------------------------------
double w_GetSunLongitude(const double & dbJD)
{
// 计算τ
double dt = (dbJD - 2451545.0) / 365250.0;
double dL = 0.0, dL0 = 0.0, dL1 = 0.0, dL2 = 0.0, dL3 = 0.0, dL4 = 0.0, dL5 = 0.0;
// L0 38x3
for(int i = 0; i < sizeof(Earth_SLG0) / sizeof(VSOP87COEFFICIENT); i++)
dL0 += (Earth_SLG0[i].dA * cos((Earth_SLG0[i].dB + Earth_SLG0[i].dC * dt)));
// L1 16x3
for(int i = 0; i < sizeof(Earth_SLG1) / sizeof(VSOP87COEFFICIENT); i++)
dL1 += (Earth_SLG1[i].dA * cos((Earth_SLG1[i].dB + Earth_SLG1[i].dC * dt)));
// L2 10x3
for(int i = 0; i < sizeof(Earth_SLG2) / sizeof(VSOP87COEFFICIENT); i++)
dL2 += (Earth_SLG2[i].dA * cos((Earth_SLG2[i].dB + Earth_SLG2[i].dC * dt)));
// L3 8x3
for(int i = 0; i < sizeof(Earth_SLG3) / sizeof(VSOP87COEFFICIENT); i++)
dL3 += (Earth_SLG3[i].dA * cos((Earth_SLG3[i].dB + Earth_SLG3[i].dC * dt)));
// L4 6x3
for(int i = 0; i < sizeof(Earth_SLG4) / sizeof(VSOP87COEFFICIENT); i++)
dL4 += (Earth_SLG4[i].dA * cos((Earth_SLG4[i].dB + Earth_SLG4[i].dC * dt)));
// L5 1x3
for(int i = 0; i < sizeof(Earth_SLG5) / sizeof(VSOP87COEFFICIENT); i++)
dL5 += (Earth_SLG5[i].dA * cos((Earth_SLG5[i].dB + Earth_SLG5[i].dC * dt)));
// 计算 L = ( L0 + L1 * τ^1 + L2 * τ^2 + L3 * τ^3 + L4 * τ^4 + L5 * τ^5 ) / 10^8 ;（单位弧度）
dL = (dL0 + (dL1 * dt) + (dL2 * (dt * dt)) + (dL3 * (dt * dt * dt)) * (dL4 * (dt * dt * dt * dt)) + (dL5 * (dt * dt * dt * dt * dt))) / 100000000.0;
// 转化为度θ = L + 180 （单位度）;
return (w_MapTo0To360Range(w_MapTo0To360Range(dL / dbUnitRadian) + 180.0));
}
5.3、黄纬：（算法描述请参考相关书籍，为了节省空间和时间，这里请罗列出 C++ 实现代码）
//
// 计算太阳黄纬用参数
const VSOP87COEFFICIENT Earth_SLT0[ 5] =
{
{ 280.0 , 3.199 , 84334.662 } ,
{ 102.0 , 5.422 , 5507.553 } ,
{ 80.0 , 3.880 , 5223.690 } ,
{ 44.0 , 3.700 , 2352.870 } ,
{ 32.0 , 4.000 , 1577.340 }
};
const VSOP87COEFFICIENT Earth_SLT1[ 2] =
{
{ 9.0 , 3.90 , 5507.55 } ,
{ 6.0 , 1.73 , 5223.69 }
};
const VSOP87COEFFICIENT Earth_SLT2[ 4] =
{
{ 22378.0 , 3.38509 , 10213.28555 } ,
{ 282.0 , 0.00000 , 00000.00000 } ,
{ 173.0 , 5.25600 , 20426.57100 } ,
{ 27.0 , 3.87000 , 30639.86000 }
};
const VSOP87COEFFICIENT Earth_SLT3[ 4] =
{
{ 647.0 , 4.992 , 10213.286 } ,
{ 20.0 , 3.140 , 00000.000 } ,
{ 6.0 , 0.770 , 20426.570 } ,
{ 3.0 , 5.440 , 30639.860 }
};
const VSOP87COEFFICIENT CWDCalendarEngine::Earth_SLT4[ 1] =
{
{ 14.0 , 0.32 , 10213.29 }
};
// ------------------------------------------------------------------------
//
// 计算太阳在黄道面上的纬度（单位：度）
//
// dbJD[IN]：儒略日（计算该时刻太阳在黄道面上的纬度）
//
// 返回太阳黄纬度数
// ------------------------------------------------------------------------
double w_GetSunLatitude(const double & dbJD)
{
// 计算τ
double dbt = (dbJD - 2451545.0) / 365250.0;
double dbB = 0.0, dbB0 = 0.0, dbB1 = 0.0, dbB2 = 0.0, dbB3 = 0.0, dbB4 = 0.0;
// B0 5x3
for(int i = 0; i < sizeof(Earth_SLT0) / sizeof(VSOP87COEFFICIENT); i++)
dbB0 += (Earth_SLT0[i].dA * cos((Earth_SLT0[i].dB + Earth_SLT0[i].dC * dbt)));
// B1 2x3
for(int i = 0; i < sizeof(Earth_SLT1) / sizeof(VSOP87COEFFICIENT); i++)
dbB1 += (Earth_SLT1[i].dA * cos((Earth_SLT1[i].dB + Earth_SLT1[i].dC * dbt)));
// B2 4x3
for(int i = 0; i < sizeof(Earth_SLT2) / sizeof(VSOP87COEFFICIENT); i++)
dbB2 += (Earth_SLT2[i].dA * cos((Earth_SLT2[i].dB + Earth_SLT2[i].dC * dbt)));
// B3 4x3
for(int i = 0; i < sizeof(Earth_SLT3) / sizeof(VSOP87COEFFICIENT); i++)
dbB3 += (Earth_SLT3[i].dA * cos((Earth_SLT3[i].dB + Earth_SLT3[i].dC * dbt)));
// B4 1x3
for(int i = 0; i < sizeof(Earth_SLT4) / sizeof(VSOP87COEFFICIENT); i++)
dbB4 += (Earth_SLT4[i].dA * cos((Earth_SLT4[i].dB + Earth_SLT4[i].dC * dbt)));
// 计算 B = ( B0 + B1 * τ^1 + B2 * τ^2 + B3 * τ^3 + B4 * τ^4 ) / 10^8 ;（单位弧度）
dbB = (dbB0 + (dbB1 * dbt) + (dbB2 * (dbt * dbt)) + (dbB3 * (dbt * dbt * dbt)) * (dbB4 * (dbt * dbt * dbt * dbt))) / 100000000.0;
// 计算 θ（单位度）;
return -(dbB / dbUnitRadian);
}
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