24节气 calculation finished with 二分法

8 files changed, 7877 insertions, 0 deletions

diff --git a/.gitignore b/.gitignore
new file mode 100644
index 0000000..28467e1
--- /dev/null
+++ b/.gitignore
@@ -0,0 +1,11 @@
+#Ignore all
+*
+#Unignore all with extensions
+!*.*
+#Unignore all dirs
+!*/
+#Ignore swp
+*.swp
+#Ignore res
+res.txt
+*.sh
diff --git a/calendar.cpp b/calendar.cpp
new file mode 100644
index 0000000..d869d5d
--- /dev/null
+++ b/calendar.cpp
@@ -0,0 +1,424 @@
+// Encoding: UTF-8
+#include <iostream>
+#include <string>
+#include <vector>
+#include <fstream>
+#include <cmath>
+#include <ctime>
+using namespace std;
+
+double pi=3.14159265358979323846;
+double delta=5e-9;
+
+typedef struct tm Date;
+
+
+class Julian
+{
+    private:
+        double d[23][5]={
+            {-4000,  108371.700000,  -13036.800000,  392.000000,   0.000000},
+            { -500,   17201.000000,    -627.820000,   16.170000,  -0.341300},
+            { -150,   12200.600000,    -346.410000,    5.403000,  -0.159300},
+            {  150,    9113.800000,    -328.130000,   -1.647000,   0.037700},
+            {  500,    5707.500000,    -391.410000,    0.915000,   0.314500},
+            {  900,    2203.400000,    -283.450000,   13.034000,  -0.177800},
+            { 1300,     490.100000,     -57.350000,    2.085000,  -0.007200},
+            { 1600,     120.000000,      -9.810000,   -1.532000,   0.140300},
+            { 1700,      10.200000,      -0.910000,    0.510000,  -0.037000},
+            { 1800,      13.400000,      -0.720000,    0.202000,  -0.019300},
+            { 1830,       7.800000,      -1.810000,    0.416000,  -0.024700},
+            { 1860,       8.300000,      -0.130000,   -0.406000,   0.029200},
+            { 1880,      -5.400000,       0.320000,   -0.183000,   0.017300},
+            { 1900,      -2.300000,       2.060000,    0.169000,  -0.013500},
+            { 1920,      21.200000,       1.690000,   -0.304000,   0.016700},
+            { 1940,      24.200000,       1.220000,   -0.064000,   0.003100},
+            { 1960,      33.200000,       0.510000,    0.231000,  -0.010900},
+            { 1980,      51.000000,       1.290000,   -0.026000,   0.003200},
+            { 2000,      63.870000,       0.100000,    0.000000,   0.000000},
+            { 2005,      64.700000,       0.210000,    0.000000,   0.000000},
+            { 2012,      66.800000,       0.220000,    0.000000,   0.000000},
+            { 2018,      69.000000,       0.360000,    0.000000,   0.000000},
+            { 2028,      72.600000,       0.000000,    0.000000,   0.000000}
+        };
+
+        double dt_ext(int y,double jsd)
+        {
+            double dy=(double)(y-1820)/100.0;
+            return -20+jsd*dy*dy;
+        }
+
+        //计算力学时与世界时之差,传入年份
+        double delta_t(int y)
+        {
+            int y0=d[22][0];//表中最后一行的年份
+            double t0=d[22][1];//表中最后一行的delta_t
+            double jsd;
+
+            if(y>y0)
+            {
+                jsd=31;
+                if(y-y0>100)
+                {
+                    return dt_ext(y,jsd);
+                }
+
+                double v=dt_ext(y,jsd);
+                double dv=dt_ext(y0,jsd)-t0;
+                return v-dv*(y0+100-y)/100;
+            }
+
+            double res;
+            for(int i=0;i<22;i++)
+            {
+                if(y<d[i+1][0])
+                {
+                    break;
+                }
+                double t1=(y-d[i][0])/(d[i+1][0]-d[i][0])*10;
+                double t2=t1*t1;
+                double t3=t2*t1;
+                res=d[i][1]+d[i][2]*t1+d[i][3]*t2+d[i][4]*t3;
+            }
+            return res;
+
+
+        }
+    public:
+        // 计算儒略日
+        double getJulianDay(time_t time)
+        {
+            double t=(double)time;
+            return (double)t/86400.0+2440587.5;
+        }
+
+        // 计算儒略千年数
+        double getJulianKiloYear(time_t time)
+        {
+            double jd = getJulianDay(time);
+            return (double)(jd-2451545.0)/365250.0;
+        }
+
+        //儒略千年数转时间戳
+        time_t kiloYearToTime(double t,int year)
+        {
+            double jd=t*365250.0+2451545.0;
+            time_t time=(time_t)((jd-2440587.5)*86400.0-delta_t(year));
+            return time;
+        }
+};
+
+class parameter{
+    private:
+
+        // 计算地球日心黄经
+        double get_longitude(vector<double> l,double t)
+        {
+            double L=l[0];
+            for(int i=1;i<l.size();i++)
+            {
+                L+=l[i]*pow(t,i);
+            }
+            //返回弧度制
+            return L+pi;
+        }
+
+        // 计算地球日心黄纬
+        double get_latitude(vector<double> b,double t)
+        {
+            double B=b[0];
+            for(int i=1;i<b.size();i++)
+            {
+                B+=b[i]*pow(t,i);
+            }
+            //返回弧度制
+            //地心黄纬=-太阳黄纬
+            return -B;
+        }
+
+        double get_R(vector<double> r,double t)
+        {
+            double R=r[0];
+            for(int i=1;i<r.size();i++)
+            {
+                R+=r[i]*pow(t,i);
+            }
+            return R;
+        }
+
+        // 转换FK5误差，返回弧度制
+        double delta_FK5(double L,double B,double T)
+        {
+            //L转角度制
+            L*=180/pi;
+            //计算L'，角度制
+            double L_p=L-1.397*T-0.00031*T*T;
+            //计算L'，弧度制
+            L_p*=pi/180;
+            while(L_p<0)
+                L_p+=2*pi;
+            while(L_p>2*pi)
+                L_p-=2*pi;
+            //计算delta_L，单位为角秒
+            double delta_L=-0.09033+0.03916*(cos(L_p)+sin(L_p))*tan(B);
+            //转换为弧度制
+            delta_L*=pi/(180*3600);
+            return delta_L;
+        }
+
+        //获取章动有关角
+        vector<double> get_angle(double T)
+        {
+            vector<double> ang;
+            //计算平距角
+            ang.push_back(297.85036+445267.111480*T-0.0019142*T*T+T*T*T/189474);
+            //计算日地平近点角
+            ang.push_back(357.52772+35999.050340*T-0.0001603*T*T-T*T*T/300000);
+            //计算月球平近点角
+            ang.push_back(134.96298+477198.867398*T+0.0086972*T*T+T*T*T/56250);
+            //计算月球纬度参数
+            ang.push_back(93.27191+483202.017538*T-0.0036825*T*T+T*T*T/327270);
+            //计算黄道与月球平轨道交点黄经
+            ang.push_back(125.04452-1934.136261*T+0.0020708*T*T+T*T*T/450000);
+            return ang;
+        }
+
+
+        //章动修正
+        double nution(double T)
+        {
+            vector<double> ang=get_angle(T);
+            fstream fr;
+            fr.open("data/nutation.txt",ios::in);
+            string str;
+            double sita;
+            double s,s1,s2;
+            double c,c1,c2;
+            double m,n,o,p,q;
+
+            s=c=0;
+            while(getline(fr,str))
+            {
+                sscanf(str.c_str(),"%lf%lf%lf%lf%lf%lf%lf%lf%lf",&m,&n,&o,&p,&q,&s1,&s2,&c1,&c2);
+                sita=m*ang[0]+n*ang[1]+o*ang[2]+p*ang[3]+q*ang[4];
+
+                //sita为角度制，转换为弧度制
+                sita*=pi/180;
+                //计算黄经章动，单位为0.0001角秒
+                s+=(s1+s2*T)*sin(sita);
+                //计算交角章动，单位为0.0001角秒
+                //c+=(c1+c2*T)*cos(sita);
+            }
+            //关闭文件
+            fr.close();
+            // 计算得到的s和c单位0.0001秒，转换为弧度制
+            s*=0.0001;
+            s*=pi/(180*3600);
+            return s;
+        }
+
+        //光行差修正，返回弧度制
+        double aberration(double R)
+        {
+            //return -20.4898/R/3600.0*pi/180.0;
+            //公式，单位0.0001角秒
+            double delta=-20.4898/R;
+            //转换为弧度制
+            delta*=pi/(180*3600);
+            return delta;
+        }
+
+        // 获取地日运行参数，L为地球日心黄经，B为地球日心黄纬，R为地日距离
+        vector<vector<double>> get_parameters(double t)
+        {
+            fstream fr;
+            fr.open("data/earth.txt",ios::in);
+            string s;
+            double l=0;
+            double a,b,c,num_tmp=0;
+            vector<vector<double>> parameters;
+            vector<double> tmp;
+            while(getline(fr,s))
+            {
+                //当分割符为/时，表明一组参数结束，将参数存入parameters中，并清空tmp
+                if(s[0]=='/')
+                {
+                    parameters.push_back(tmp);
+                    tmp.resize(0);
+                    num_tmp=0;
+                }
+                //当分割符为=时，表明一组参数中的一类结束，将参数存入tmp中，并清空num_tmp
+                else if(s[0]=='=')
+                {
+                    tmp.push_back(num_tmp);
+                    num_tmp=0;
+                }
+                else
+                {
+                    sscanf(s.c_str(),"%lf%lf%lf",&a,&b,&c);
+                    num_tmp+=a*cos(b+c*t);
+                }
+            }
+            //关闭文件
+            fr.close();
+            /* 最终传参情况：
+             * parameters[0]为L系列，用来计算地球日心黄经
+             * parameters[1]为B系列，用来计算地球日心黄纬
+             * parameters[2]为R系列，用来计算地日距离
+             */
+            return parameters;
+        }
+
+    public:
+
+        double longitude(double t)
+        {
+            //从文件中计算地日运行参数
+            vector<vector<double>> p=get_parameters(t);
+
+            //取出各类参数
+            vector<double> l=p[0],b=p[1],r=p[2];
+
+            //计算地球日心黄经纬，返回弧度制/天文单位
+            double L=get_longitude(l,t);
+            double B=get_latitude(b,t);
+            double R=get_R(r,t);
+
+
+            //以下修正需要的都是儒略世纪数而非千年数
+            //转FK5误差，返回弧度制
+            L+=delta_FK5(L,B,10*t);
+            //章动修正，返回弧度制
+            L+=nution(10*t);
+            //光行差修正，返回弧度制
+            L+=aberration(R);
+
+
+            //L转角度制
+            L*=180/pi;
+            while(L<0)
+                L+=360;
+            while(L>=360)
+                L-=360;
+            if(360-L<=5)
+            {
+                L-=360;
+            }
+            return L;
+        }
+};
+
+void Plus(Date &date)
+{
+    if(date.tm_mday<10)
+    {
+        date.tm_mday=20;
+    }
+    else
+    {
+        date.tm_mday=6;
+        date.tm_mon++;
+    }
+    return;
+}
+
+double fuck(double a,double b)
+{
+    while(b<0)
+        b+=360;
+    while(b>=360)
+        b-=360;
+    if(b==0)
+    {
+        return min(fabs(b),fabs(360-b));
+    }
+    else
+    {
+        return fabs(a-b);
+    }
+}
+
+int main()
+{
+    Date* date=new Date;
+    cout<<"Please input the year: "<<endl;
+
+    //时间确认
+    cin>>date->tm_year;
+    date->tm_year-=1900;//年份减去1900
+                        //当年元旦零时
+    date->tm_mon=0;
+    date->tm_mday=1;
+    date->tm_hour=0;
+    date->tm_min=0;
+    date->tm_sec=0;
+
+    //输出年份
+    cout<<"Year: "<<date->tm_year+1900<<endl;
+
+    //计算当年二十四节气准确时刻
+    parameter p;
+    Julian julian;
+    time_t time;
+    //double dL;//dL为L对t导数
+    double t,t_end,t_middle;
+    double target;
+    char JieQi[24][10]={"小寒","大寒","立春","雨水","惊蛰","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"};
+    //date->tm_mday=6;
+    for(int i=0;date->tm_mon<12;Plus(*date),i++)
+    {
+        //转换为时间戳
+        time=mktime(date);
+        //暂时放弃牛顿迭代法
+        //t=julian.getJulianKiloYear(time);
+        //while(fuck(p.longitude(t),(double)i*15-75)>=1e-8)
+        //{
+        //    dL=(p.longitude(t+delta)-p.longitude(t-delta))/(2*delta);
+        //    t=t-p.longitude(t)/dL;
+        //}
+
+
+        //计算儒略千年数
+        t=julian.getJulianKiloYear(time);
+        t_end=julian.getJulianKiloYear(time+86400);
+        target=i*15-75;
+        if(target<0)
+        {
+            target+=360;
+        }
+
+        //二分法
+        while(p.longitude(t)>target)
+        {
+            time-=86400;
+            t_end=t;
+            t=julian.getJulianKiloYear(time);
+        }
+        while(p.longitude(t_end)<=target)
+        {
+            time+=86400;
+            t=t_end;
+            t_end=julian.getJulianKiloYear(time);
+        }
+        while(t_end-t>=1e-10)
+        {
+            t_middle=(t+t_end)/2;
+            if(p.longitude(t_middle)>target)
+            {
+                t_end=t_middle;
+            }
+            else
+            {
+                t=t_middle;
+            }
+        }
+        //double t转为时间戳
+        time=julian.kiloYearToTime(t,date->tm_year+1900);
+
+        //date换新
+        date=localtime(&time);
+        printf("%d-%02d-%02d  %02d:%02d:%02d  %s\n",date->tm_year+1900,date->tm_mon+1,date->tm_mday,date->tm_hour,date->tm_min,date->tm_sec,JieQi[i]);
+    }
+    printf("\n\n");
+    return 0;
+}
diff --git a/data/delta_T.txt b/data/delta_T.txt
new file mode 100644
index 0000000..a161e9b
--- /dev/null
+++ b/data/delta_T.txt
@@ -0,0 +1,23 @@
+ -4000  108371.700000   -13036.800000   392.000000       0.000000
+  -500   17201.000000     -627.820000    16.170000      -0.341300
+  -150   12200.600000     -346.410000     5.403000      -0.159300
+   150    9113.800000     -328.130000    -1.647000       0.037700
+   500    5707.500000     -391.410000     0.915000       0.314500
+   900    2203.400000     -283.450000    13.034000      -0.177800
+  1300     490.100000      -57.350000     2.085000      -0.007200
+  1600     120.000000       -9.810000    -1.532000       0.140300
+  1700      10.200000       -0.910000     0.510000      -0.037000
+  1800      13.400000       -0.720000     0.202000      -0.019300
+  1830       7.800000       -1.810000     0.416000      -0.024700
+  1860       8.300000       -0.130000    -0.406000       0.029200
+  1880      -5.400000        0.320000    -0.183000       0.017300
+  1900      -2.300000        2.060000     0.169000      -0.013500
+  1920      21.200000        1.690000    -0.304000       0.016700
+  1940      24.200000        1.220000    -0.064000       0.003100
+  1960      33.200000        0.510000     0.231000      -0.010900
+  1980      51.000000        1.290000    -0.026000       0.003200
+  2000      63.870000        0.100000     0.000000       0.000000
+  2005      64.700000        0.210000     0.000000       0.000000
+  2012      66.800000        0.220000     0.000000       0.000000
+  2018      69.000000        0.360000     0.000000       0.000000
+  2028      72.600000        0.000000     0.000000       0.000000
diff --git a/data/earth.txt b/data/earth.txt
new file mode 100644
index 0000000..51e9bdf
--- /dev/null
+++ b/data/earth.txt
@@ -0,0 +1,2445 @@
+     1.75347045673 0.00000000000       0.00000000000 
+     0.03341656456 4.66925680417    6283.07584999140 
+     0.00034894275 4.62610241759   12566.15169998280 
+     0.00003417571 2.82886579606       3.52311834900 
+     0.00003497056 2.74411800971    5753.38488489680 
+     0.00003135896 3.62767041758   77713.77146812050 
+     0.00002676218 4.41808351397    7860.41939243920 
+     0.00002342687 6.13516237631    3930.20969621960 
+     0.00001273166 2.03709655772     529.69096509460 
+     0.00001324292 0.74246356352   11506.76976979360 
+     0.00000901855 2.04505443513      26.29831979980 
+     0.00001199167 1.10962944315    1577.34354244780 
+     0.00000857223 3.50849156957     398.14900340820 
+     0.00000779786 1.17882652114    5223.69391980220 
+     0.00000990250 5.23268129594    5884.92684658320 
+     0.00000753141 2.53339053818    5507.55323866740 
+     0.00000505264 4.58292563052   18849.22754997420 
+     0.00000492379 4.20506639861     775.52261132400 
+     0.00000356655 2.91954116867       0.06731030280 
+     0.00000284125 1.89869034186     796.29800681640 
+     0.00000242810 0.34481140906    5486.77784317500 
+     0.00000317087 5.84901952218   11790.62908865880 
+     0.00000271039 0.31488607649   10977.07880469900 
+     0.00000206160 4.80646606059    2544.31441988340 
+     0.00000205385 1.86947813692    5573.14280143310 
+     0.00000202261 2.45767795458    6069.77675455340 
+     0.00000126184 1.08302630210      20.77539549240 
+     0.00000155516 0.83306073807     213.29909543800 
+     0.00000115132 0.64544911683       0.98032106820 
+     0.00000102851 0.63599846727    4694.00295470760 
+     0.00000101724 4.26679821365       7.11354700080 
+     0.00000099206 6.20992940258    2146.16541647520 
+     0.00000132212 3.41118275555    2942.46342329160 
+     0.00000097607 0.68101272270     155.42039943420 
+     0.00000085128 1.29870743025    6275.96230299060 
+     0.00000074651 1.75508916159    5088.62883976680 
+     0.00000101895 0.97569221824   15720.83878487840 
+     0.00000084711 3.67080093025   71430.69561812909 
+     0.00000073547 4.67926565481     801.82093112380 
+     0.00000073874 3.50319443167    3154.68708489560 
+     0.00000078756 3.03698313141   12036.46073488820 
+     0.00000079637 1.80791330700   17260.15465469040 
+     0.00000085803 5.98322631256  161000.68573767410 
+     0.00000056963 2.78430398043    6286.59896834040 
+     0.00000061148 1.81839811024    7084.89678111520 
+     0.00000069627 0.83297596966    9437.76293488700 
+     0.00000056116 4.38694880779   14143.49524243060 
+     0.00000062449 3.97763880587    8827.39026987480 
+     0.00000051145 0.28306864501    5856.47765911540 
+     0.00000055577 3.47006009062    6279.55273164240 
+     0.00000041036 5.36817351402    8429.24126646660 
+     0.00000051605 1.33282746983    1748.01641306700 
+     0.00000051992 0.18914945834   12139.55350910680 
+     0.00000049000 0.48735065033    1194.44701022460 
+     0.00000039200 6.16832995016   10447.38783960440 
+     0.00000035566 1.77597314691    6812.76681508600 
+     0.00000036770 6.04133859347   10213.28554621100 
+     0.00000036596 2.56955238628    1059.38193018920 
+     0.00000033291 0.59309499459   17789.84561978500 
+     0.00000035954 1.70876111898    2352.86615377180 
+     0.00000040938 2.39850881707   19651.04848109800 
+     0.00000030047 2.73975123935    1349.86740965880 
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+====================L1 ends here=====================
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+     0.00000000010 4.93364992366   12352.85260454480 
+====================L2 ends here=========================
+     0.00000289226 5.84384198723    6283.07584999140 
+     0.00000034955 0.00000000000       0.00000000000 
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+     0.00000000005 3.76879847273   12036.46073488820 
+     0.00000000005 4.28412873331    6275.96230299060 
+=====================L3 ends here========================
+     0.00000114084 3.14159265359       0.00000000000 
+     0.00000007717 4.13446589358    6283.07584999140 
+     0.00000000765 3.83803776214   12566.15169998280 
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+     0.00000000008 2.84160570605  161000.68573767410 
+     0.00000000002 0.54912904658    6438.49624942560 
+====================L4 ends here=====================
+     0.00000000878 3.14159265359       0.00000000000 
+     0.00000000172 2.76579069510    6283.07584999140 
+     0.00000000050 2.01353298182     155.42039943420 
+     0.00000000028 2.21496423926   12566.15169998280 
+     0.00000000005 1.75600058765   18849.22754997420 
+====================L5 ends here=====================
+// L ended.
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+     0.00000080445 3.88013204458    5223.69391980220 
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+===================B0 ends here======================
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+==================B1 ends here======================
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+=======================B2 ends here============================
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+=======================B3 ends here============================
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+     0.00000000003 2.89822201212    6127.65545055720 
+=======================B4 ends here============================
+// B ended.
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+======================R1 ends here=========================
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+=====================R2 ends here======================
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+======================R3 ends here=========================
+     0.00000003858 2.56384387339    6283.07584999140 
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+     0.00000000003 1.28175749811    6286.59896834040 
+=====================R4 ends here======================
+     0.00000000086 1.21579741687    6283.07584999140 
+     0.00000000012 0.65617264033   12566.15169998280 
+     0.00000000001 0.38068797142   18849.22754997420 
+=====================R5 ends here=======================
+// R ended.
diff --git a/data/earth_bkup.txt b/data/earth_bkup.txt
new file mode 100644
index 0000000..7a68723
--- /dev/null
+++ b/data/earth_bkup.txt
@@ -0,0 +1,2442 @@
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+     0.00000000013 0.33982116161    4933.20844033260 
+     0.00000000012 1.85426309994    5856.47765911540 
+     0.00000000010 4.82763996845   13095.84266507740 
+     0.00000000011 5.38005490571   11790.62908865880 
+     0.00000000010 1.40815507226   10988.80815753500 
+     0.00000000011 3.05005267431   17260.15465469040 
+     0.00000000010 4.93364992366   12352.85260454480 
+====================L3===========================
+     0.00000289226 5.84384198723    6283.07584999140 
+     0.00000034955 0.00000000000       0.00000000000 
+     0.00000016819 5.48766912348   12566.15169998280 
+     0.00000002962 5.19577265202     155.42039943420 
+     0.00000001288 4.72200252235       3.52311834900 
+     0.00000000635 5.96925937141     242.72860397400 
+     0.00000000714 5.30045809128   18849.22754997420 
+     0.00000000402 3.78682982419     553.56940284240 
+     0.00000000072 4.29768126180    6286.59896834040 
+     0.00000000067 0.90721687647    6127.65545055720 
+     0.00000000036 5.24029648014    6438.49624942560 
+     0.00000000024 5.16003960716   25132.30339996560 
+     0.00000000023 3.01921570335    6309.37416979120 
+     0.00000000017 5.82863573502    6525.80445396540 
+     0.00000000017 3.67772863930   71430.69561812909 
+     0.00000000009 4.58467294499    1577.34354244780 
+     0.00000000008 1.40626662824   11856.21865142450 
+     0.00000000008 5.07561257196    6256.77753019160 
+     0.00000000007 2.82473374405   83996.84731811189 
+     0.00000000005 2.71488713339   10977.07880469900 
+     0.00000000005 3.76879847273   12036.46073488820 
+     0.00000000005 4.28412873331    6275.96230299060 
+======================L4===========================
+     0.00000114084 3.14159265359       0.00000000000 
+     0.00000007717 4.13446589358    6283.07584999140 
+     0.00000000765 3.83803776214   12566.15169998280 
+     0.00000000420 0.41925861858     155.42039943420 
+     0.00000000040 3.59847585840   18849.22754997420 
+     0.00000000041 3.14398414077       3.52311834900 
+     0.00000000035 5.00298940826    5573.14280143310 
+     0.00000000013 0.48794833701   77713.77146812050 
+     0.00000000010 5.64801766350    6127.65545055720 
+     0.00000000008 2.84160570605  161000.68573767410 
+     0.00000000002 0.54912904658    6438.49624942560 
+======================L5===========================
+     0.00000000878 3.14159265359       0.00000000000 
+     0.00000000172 2.76579069510    6283.07584999140 
+     0.00000000050 2.01353298182     155.42039943420 
+     0.00000000028 2.21496423926   12566.15169998280 
+     0.00000000005 1.75600058765   18849.22754997420 
+// B
+     0.00000279620 3.19870156017   84334.66158130829 
+     0.00000101643 5.42248619256    5507.55323866740 
+     0.00000080445 3.88013204458    5223.69391980220 
+     0.00000043806 3.70444689758    2352.86615377180 
+     0.00000031933 4.00026369781    1577.34354244780 
+     0.00000022724 3.98473831560    1047.74731175470 
+     0.00000016392 3.56456119782    5856.47765911540 
+     0.00000018141 4.98367470263    6283.07584999140 
+     0.00000014443 3.70275614914    9437.76293488700 
+     0.00000014304 3.41117857525   10213.28554621100 
+     0.00000011246 4.82820690530   14143.49524243060 
+     0.00000010900 2.08574562327    6812.76681508600 
+     0.00000009714 3.47303947752    4694.00295470760 
+     0.00000010367 4.05663927946   71092.88135493269 
+     0.00000008775 4.44016515669    5753.38488489680 
+     0.00000008366 4.99251512180    7084.89678111520 
+     0.00000006921 4.32559054073    6275.96230299060 
+     0.00000009145 1.14182646613    6620.89011318780 
+     0.00000007194 3.60193205752     529.69096509460 
+     0.00000007698 5.55425745881  167621.57585086189 
+     0.00000005285 2.48446991566    4705.73230754360 
+     0.00000005208 6.24992674537   18073.70493865020 
+     0.00000004529 2.33827747356    6309.37416979120 
+     0.00000005579 4.41023653738    7860.41939243920 
+     0.00000004743 0.70995680136    5884.92684658320 
+     0.00000004301 1.10255777773    6681.22485339960 
+     0.00000003849 1.82229412531    5486.77784317500 
+     0.00000004093 5.11700141207   13367.97263110660 
+     0.00000003681 0.43793170356    3154.68708489560 
+     0.00000003420 5.42034800952    6069.77675455340 
+     0.00000003617 6.04641937526    3930.20969621960 
+     0.00000003670 4.58210192227   12194.03291462090 
+     0.00000002918 1.95463881126   10977.07880469900 
+     0.00000002797 5.61259275048   11790.62908865880 
+     0.00000002502 0.60499729367    6496.37494542940 
+     0.00000002319 5.01648216014    1059.38193018920 
+     0.00000002684 1.39470396488   22003.91463486980 
+     0.00000002428 3.24183056052   78051.58573131690 
+     0.00000002120 4.30691000285    5643.17856367740 
+     0.00000002257 3.15557225618   90617.73743129970 
+     0.00000001813 3.75574218285    3340.61242669980 
+     0.00000002226 2.79699346659   12036.46073488820 
+     0.00000001888 0.86991545823    8635.94200376320 
+     0.00000001517 1.95852055701     398.14900340820 
+     0.00000001581 3.19976230948    5088.62883976680 
+     0.00000001421 6.25530883827    2544.31441988340 
+     0.00000001595 0.25619915135   17298.18232732620 
+     0.00000001391 4.69964175561    7058.59846131540 
+     0.00000001478 2.81808207569   25934.12433108940 
+     0.00000001481 3.65823554806   11506.76976979360 
+     0.00000001693 4.95689385293  156475.29024799570 
+     0.00000001183 1.29343061246     775.52261132400 
+     0.00000001114 2.37889311846    3738.76143010800 
+     0.00000000994 4.30088900425    9225.53927328300 
+     0.00000000924 3.06451026812    4164.31198961300 
+     0.00000000867 0.55606931068    8429.24126646660 
+     0.00000000988 5.97286104208    7079.37385680780 
+     0.00000000824 1.50984806173   10447.38783960440 
+     0.00000000915 0.12635654592   11015.10647733480 
+     0.00000000742 1.99159139281   26087.90314157420 
+     0.00000001039 3.14159265359       0.00000000000 
+     0.00000000850 4.24120016095   29864.33402730900 
+     0.00000000755 2.89631873320    4732.03062734340 
+     0.00000000714 1.37548118603    2146.16541647520 
+     0.00000000708 1.91406542362    8031.09226305840 
+     0.00000000746 0.57893808616     796.29800681640 
+     0.00000000802 5.12339137230    2942.46342329160 
+     0.00000000751 1.67479850166   21228.39202354580 
+     0.00000000602 4.09976538826   64809.80550494129 
+     0.00000000594 3.49580704962   16496.36139620240 
+     0.00000000592 4.59481504319    4690.47983635860 
+     0.00000000530 5.73979295200    8827.39026987480 
+     0.00000000503 5.66433137112   33794.54372352860 
+     0.00000000483 1.57106522411     801.82093112380 
+     0.00000000438 0.06707733767    3128.38876509580 
+     0.00000000423 2.86944595927   12566.15169998280 
+     0.00000000504 3.26207669160    7632.94325965020 
+     0.00000000552 1.02926440457  239762.20451754928 
+     0.00000000427 3.67434378210     213.29909543800 
+     0.00000000404 1.46193297142   15720.83878487840 
+     0.00000000503 4.85802444134    6290.18939699220 
+     0.00000000417 0.81920713533    5216.58037280140 
+     0.00000000365 0.01002966162   12168.00269657460 
+     0.00000000363 1.28376436579    6206.80977871580 
+     0.00000000353 4.70059133110    7234.79425624200 
+     0.00000000415 0.96862624175    4136.91043351620 
+     0.00000000387 3.09145061418   25158.60171976540 
+     0.00000000373 2.65119262792    7342.45778018060 
+     0.00000000361 2.97762937739    9623.68827669120 
+     0.00000000418 3.75759994446    5230.80746680300 
+     0.00000000396 1.22507712354    6438.49624942560 
+     0.00000000322 1.21162178805    8662.24032356300 
+     0.00000000284 5.64170320068    1589.07289528380 
+     0.00000000379 1.72248432748   14945.31617355440 
+     0.00000000320 3.94161159962    7330.82316174610 
+     0.00000000313 5.47602376446    1194.44701022460 
+     0.00000000292 1.38971327603   11769.85369316640 
+     0.00000000305 0.80429352049   37724.75341974820 
+     0.00000000257 5.81382809757     426.59819087600 
+     0.00000000265 6.10358507671    6836.64525283380 
+     0.00000000250 4.56452895547    7477.52286021600 
+     0.00000000266 2.62926282354    7238.67559160000 
+     0.00000000263 6.22089501237    6133.51265285680 
+     0.00000000306 2.79682380531    1748.01641306700 
+     0.00000000236 2.46093023714   11371.70468975820 
+     0.00000000316 1.62662805006  250908.49012041549 
+     0.00000000216 3.68721275185    5849.36411211460 
+     0.00000000230 0.36165162947    5863.59120611620 
+     0.00000000233 5.03509933858   20426.57109242200 
+     0.00000000200 5.86073159059    4535.05943692440 
+     0.00000000277 4.65400292395   82239.16695779889 
+     0.00000000209 3.72323200804   10973.55568635000 
+     0.00000000199 5.05186622555    5429.87946823940 
+     0.00000000256 2.40923279770   19651.04848109800 
+     0.00000000210 4.50691909144   29088.81141598500 
+     0.00000000181 6.00294783127    4292.33083295040 
+     0.00000000249 0.12900984422  154379.79562448629 
+     0.00000000209 3.87759458598   17789.84561978500 
+     0.00000000225 3.18339652605   18875.52586977400 
+     0.00000000191 4.53897489299   18477.10876461230 
+     0.00000000172 2.09694183014   13095.84266507740 
+     0.00000000182 3.16107943500   16730.46368959580 
+     0.00000000188 2.22746128596   41654.96311596780 
+     0.00000000164 5.18686275017    5481.25491886760 
+     0.00000000160 2.49298855159   12592.45001978260 
+     0.00000000155 1.59595438230   10021.83728009940 
+     0.00000000135 0.21349051064   10988.80815753500 
+     0.00000000178 3.80375177970   23581.25817731760 
+     0.00000000123 1.66800739151   15110.46611986620 
+     0.00000000122 2.72678272244   18849.22754997420 
+     0.00000000126 1.17675512910   14919.01785375460 
+     0.00000000142 3.95053441332     337.81426319640 
+     0.00000000116 6.06340906229    6709.67404086740 
+     0.00000000137 3.52143246757   12139.55350910680 
+     0.00000000136 2.92179113542   32217.20018108080 
+     0.00000000110 3.51203379263   18052.92954315780 
+     0.00000000147 4.63371971408   22805.73556599360 
+     0.00000000108 5.45280814878       7.11354700080 
+     0.00000000148 0.65447253687   95480.94718417450 
+     0.00000000119 5.92110458985   33019.02111220460 
+     0.00000000110 5.34824206306     639.89728631400 
+     0.00000000106 3.71081682629   14314.16811304980 
+     0.00000000139 6.17607198418   24356.78078864160 
+     0.00000000118 5.59738712670  161338.50000087050 
+     0.00000000117 3.65065271640   45585.17281218740 
+     0.00000000127 4.74596574209   49515.38250840700 
+     0.00000000120 1.04211499785    6915.85958930460 
+     0.00000000120 5.60638811846    5650.29211067820 
+     0.00000000115 3.10668213289   14712.31711645800 
+     0.00000000099 0.69018940049   12779.45079542080 
+     0.00000000097 1.07908724794    9917.69687450980 
+     0.00000000093 2.62295197319   17260.15465469040 
+     0.00000000099 4.45774681732    4933.20844033260 
+     0.00000000123 1.37488922089   28286.99048486120 
+     0.00000000121 5.19767249813   27511.46787353720 
+     0.00000000105 0.87192267806   77375.95720492408 
+     0.00000000087 3.93637812950   17654.78053974960 
+     0.00000000122 2.23956068680   83997.09113559539 
+     0.00000000087 4.18201600952   22779.43724619380 
+     0.00000000104 4.59580877295    1349.86740965880 
+     0.00000000102 2.83545248411   12352.85260454480 
+     0.00000000102 3.97386522171   10818.13528691580 
+     0.00000000101 4.32892825857   36147.40987730040 
+     0.00000000094 5.00001709261  150192.21439800429 
+     0.00000000077 3.97199369296    1592.59601363280 
+     0.00000000100 6.07733097102   26735.94526221320 
+     0.00000000086 5.26029638250   28313.28880466100 
+     0.00000000093 4.31900620254   44809.65020086340 
+     0.00000000076 6.22743405935   13521.75144159140 
+     0.00000000072 1.55820597747    6256.77753019160 
+     0.00000000082 4.95202664555   10575.40668294180 
+     0.00000000082 1.69647647075    1990.74501704100 
+     0.00000000075 2.29836095644    3634.62102451840 
+     0.00000000075 2.66367876557   16200.77272450120 
+     0.00000000087 0.26630214764   31441.67756975680 
+     0.00000000077 2.25530954137    5235.32853823670 
+     0.00000000076 1.09869730846   12903.96596317920 
+     0.00000000058 4.28246138307   12559.03815298200 
+     0.00000000064 5.51112830114  173904.65170085328 
+     0.00000000056 2.60133794851   73188.37597844210 
+     0.00000000055 5.81483150022  143233.51002162008 
+     0.00000000054 3.38482031504  323049.11878710288 
+     0.00000000039 3.28500401343   71768.50988132549 
+     0.00000000039 3.11239910690   96900.81328129109 
+======================B1===========================
+     0.00000009030 3.89729061890    5507.55323866740 
+     0.00000006177 1.73038850355    5223.69391980220 
+     0.00000003800 5.24404145734    2352.86615377180 
+     0.00000002834 2.47345037450    1577.34354244780 
+     0.00000001817 0.41874743765    6283.07584999140 
+     0.00000001499 1.83320979291    5856.47765911540 
+     0.00000001466 5.69401926017    5753.38488489680 
+     0.00000001301 2.18890066314    9437.76293488700 
+     0.00000001233 4.95222451476   10213.28554621100 
+     0.00000001021 0.12866660208    7860.41939243920 
+     0.00000000982 0.09005453285   14143.49524243060 
+     0.00000000865 1.73949953555    3930.20969621960 
+     0.00000000581 2.26949174067    5884.92684658320 
+     0.00000000524 5.65662503159     529.69096509460 
+     0.00000000473 6.22750969242    6309.37416979120 
+     0.00000000451 1.53288619213   18073.70493865020 
+     0.00000000364 3.61614477374   13367.97263110660 
+     0.00000000372 3.22470721320    6275.96230299060 
+     0.00000000268 2.34341267879   11790.62908865880 
+     0.00000000322 0.94084045832    6069.77675455340 
+     0.00000000232 0.26781182579    7058.59846131540 
+     0.00000000216 6.05952221329   10977.07880469900 
+     0.00000000232 2.93325646109   22003.91463486980 
+     0.00000000204 3.86264841382    6496.37494542940 
+     0.00000000202 2.81892511133   15720.83878487840 
+     0.00000000185 4.93512381859   12036.46073488820 
+     0.00000000220 3.99305643742    6812.76681508600 
+     0.00000000166 1.74970002999   11506.76976979360 
+     0.00000000212 1.57166285369    4694.00295470760 
+     0.00000000157 1.08259734788    5643.17856367740 
+     0.00000000154 5.99434678412    5486.77784317500 
+     0.00000000144 5.23285656085   78051.58573131690 
+     0.00000000144 1.16454655948   90617.73743129970 
+     0.00000000137 2.67760436027    6290.18939699220 
+     0.00000000180 2.06509026215    7084.89678111520 
+     0.00000000121 5.90212574947    9225.53927328300 
+     0.00000000150 2.00175038718    5230.80746680300 
+     0.00000000149 5.06157254516   17298.18232732620 
+     0.00000000118 5.39979058038    3340.61242669980 
+     0.00000000161 3.32421999691    6283.31966747490 
+     0.00000000121 4.36722193162   19651.04848109800 
+     0.00000000116 5.83462858507    4705.73230754360 
+     0.00000000128 4.35489873365   25934.12433108940 
+     0.00000000143 0.00000000000       0.00000000000 
+     0.00000000109 2.52157834166    6438.49624942560 
+     0.00000000099 2.70727488041    5216.58037280140 
+     0.00000000103 0.93782340879    8827.39026987480 
+     0.00000000082 4.29214680390    8635.94200376320 
+     0.00000000079 2.24085737326    1059.38193018920 
+     0.00000000097 5.50959692365   29864.33402730900 
+     0.00000000072 0.21891639822   21228.39202354580 
+     0.00000000071 2.86755026812    6681.22485339960 
+     0.00000000074 2.20184828895   37724.75341974820 
+     0.00000000063 4.45586625948    7079.37385680780 
+     0.00000000061 0.63918772258   33794.54372352860 
+     0.00000000047 2.09070235724    3128.38876509580 
+     0.00000000047 3.32543843300   26087.90314157420 
+     0.00000000049 1.60680905005    6702.56049386660 
+     0.00000000057 0.11215813438   29088.81141598500 
+     0.00000000056 5.47982934911     775.52261132400 
+     0.00000000050 1.89396788463   12139.55350910680 
+     0.00000000047 2.97214907240   20426.57109242200 
+     0.00000000041 5.55329394890   11015.10647733480 
+     0.00000000041 5.91861144924   23581.25817731760 
+     0.00000000045 4.95273290181    5863.59120611620 
+     0.00000000050 3.62740835096   41654.96311596780 
+     0.00000000037 6.09033460601   64809.80550494129 
+     0.00000000037 5.86153655431   12566.15169998280 
+     0.00000000046 1.65798680284   25158.60171976540 
+     0.00000000038 2.00673650251     426.59819087600 
+     0.00000000036 6.24373396652    6283.14316029419 
+     0.00000000036 0.40465162918    6283.00853968860 
+     0.00000000032 6.03707103538    2942.46342329160 
+     0.00000000041 4.86809570283    1592.59601363280 
+     0.00000000028 4.38359423735    7632.94325965020 
+     0.00000000028 6.03334294232   17789.84561978500 
+     0.00000000026 3.88971333608    5331.35744374080 
+     0.00000000026 5.94932724051   16496.36139620240 
+     0.00000000031 1.44666331503   16730.46368959580 
+     0.00000000026 6.26376705837   23543.23050468179 
+     0.00000000033 0.93797239147     213.29909543800 
+     0.00000000026 3.71858432944   13095.84266507740 
+     0.00000000027 0.60565274405   10988.80815753500 
+     0.00000000023 4.44388985550   18849.22754997420 
+     0.00000000028 1.53862289477    6279.48542133960 
+     0.00000000028 1.96831814872    6286.66627864320 
+     0.00000000028 5.78094918529   15110.46611986620 
+     0.00000000026 2.48165809843    5729.50644714900 
+     0.00000000020 3.85655029499    9623.68827669120 
+     0.00000000021 5.83006047147    7234.79425624200 
+     0.00000000021 0.69628570421     398.14900340820 
+     0.00000000022 5.02222806555    6127.65545055720 
+     0.00000000020 3.47611265290    6148.01076995600 
+     0.00000000020 0.90769829044    5481.25491886760 
+     0.00000000020 0.03081589303    6418.14093002680 
+     0.00000000020 3.74220084927    1589.07289528380 
+     0.00000000021 4.00149269576    3154.68708489560 
+     0.00000000018 1.58348238359    2118.76386037840 
+     0.00000000019 0.85407021371   14712.31711645800 
+========================B2========================
+     0.00000001662 1.62703209173   84334.66158130829 
+     0.00000000492 2.41382223971    1047.74731175470 
+     0.00000000344 2.24353004539    5507.55323866740 
+     0.00000000258 6.00906896311    5223.69391980220 
+     0.00000000131 0.95447345240    6283.07584999140 
+     0.00000000086 1.67530247303    7860.41939243920 
+     0.00000000090 0.97606804452    1577.34354244780 
+     0.00000000090 0.37899871725    2352.86615377180 
+     0.00000000089 6.25807507963   10213.28554621100 
+     0.00000000075 0.84213523741  167621.57585086189 
+     0.00000000052 1.70501566089   14143.49524243060 
+     0.00000000057 6.15295833679   12194.03291462090 
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+     0.00000000013 0.98720797401    5729.50644714900 
+     0.00000000009 5.94191743597    7632.94325965020 
+===========================B3======================
+     0.00000000011 0.23877262399    7860.41939243920 
+     0.00000000009 1.16069982609    5507.55323866740 
+     0.00000000008 1.65357552925    5884.92684658320 
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+     0.00000000006 5.40160929468    1577.34354244780 
+     0.00000000007 2.73399865247    6309.37416979120 
+=====================B4============================
+     0.00000000004 0.79662198849    6438.49624942560 
+     0.00000000005 0.84308705203    1047.74731175470 
+     0.00000000005 0.05711572303   84334.66158130829 
+     0.00000000003 3.46779895686    6279.55273164240 
+     0.00000000003 2.89822201212    6127.65545055720 
+//R
+     1.00013988799 0.00000000000       0.00000000000 
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+     0.00000000033 5.62216602775    6127.65545055720 
+     0.00000000019 3.71292621802    6438.49624942560 
+     0.00000000016 4.26011484232    6525.80445396540 
+     0.00000000016 3.50416887054    6256.77753019160 
+     0.00000000014 3.62127621114   25132.30339996560 
+     0.00000000011 4.39200958819    4705.73230754360 
+     0.00000000011 5.22327127059    6040.34724601740 
+     0.00000000010 4.28045254647   83996.84731811189 
+     0.00000000009 1.56864096494    5507.55323866740 
+     0.00000000011 1.37795688024    6309.37416979120 
+     0.00000000010 5.19937959068   71430.69561812909 
+     0.00000000009 0.47275199930    6279.55273164240 
+     0.00000000009 0.74642756529    5729.50644714900 
+     0.00000000007 2.97374891560     775.52261132400 
+     0.00000000007 3.28615691021    7058.59846131540 
+     0.00000000007 2.19184402142    6812.76681508600 
+     0.00000000005 3.15419034438     529.69096509460 
+     0.00000000006 4.54725567047    1059.38193018920 
+     0.00000000005 1.51104406936    7079.37385680780 
+     0.00000000007 2.98052059053    6681.22485339960 
+     0.00000000005 2.30961231391   12036.46073488820 
+     0.00000000005 3.71102966917    6290.18939699220 
+=====================R4============================
+     0.00000003858 2.56384387339    6283.07584999140 
+     0.00000000306 2.26769501230   12566.15169998280 
+     0.00000000053 3.44031471924    5573.14280143310 
+     0.00000000015 2.04794573436   18849.22754997420 
+     0.00000000013 2.05688873673   77713.77146812050 
+     0.00000000007 4.41218854480  161000.68573767410 
+     0.00000000005 5.26154653107    6438.49624942560 
+     0.00000000005 4.07695126049    6127.65545055720 
+     0.00000000006 3.81514213664  149854.40013480789 
+     0.00000000003 1.28175749811    6286.59896834040 
+=====================R5============================
+     0.00000000086 1.21579741687    6283.07584999140 
+     0.00000000012 0.65617264033   12566.15169998280 
+     0.00000000001 0.38068797142   18849.22754997420 
+// this is the end flag.
diff --git a/data/earth_origin.txt b/data/earth_origin.txt
new file mode 100644
index 0000000..eb207a9
--- /dev/null
+++ b/data/earth_origin.txt
@@ -0,0 +1,2442 @@
+ VSOP87 VERSION D4    EARTH     VARIABLE 1 (LBR)       *T**0    559 TERMS    HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX OF THE DATE
+ 4310    1  0  0  0  0  0  0  0  0  0  0  0  0  0.00000000000     1.75347045673     1.75347045673 0.00000000000       0.00000000000 
+ 4310    2  0  0  1  0  0  0  0  0  0  0  0  0 -0.00748171065    -0.03256824823     0.03341656456 4.66925680417    6283.07584999140 
+ 4310    3  0  0  2  0  0  0  0  0  0  0  0  0 -0.00031395594     0.00015229154     0.00034894275 4.62610241759   12566.15169998280 
+ 4310    4  0  0  4 -8  3  0  0  0  0  0  0  0 -0.00000968449     0.00003277483     0.00003417571 2.82886579606       3.52311834900 
+ 4310    5  0  0  1  0 -1  0  0  0  0  0  0  0 -0.00003496398    -0.00000067831     0.00003497056 2.74411800971    5753.38488489680 
+ 4310    6  0  0  0  0  0  0  0  0  1  0  0  0  0.00003135896     0.00000000000     0.00003135896 3.62767041758   77713.77146812050 
+ 4310    7  0  2 -2  0  0  0  0  0  0  0  0  0 -0.00002676213    -0.00000005178     0.00002676218 4.41808351397    7860.41939243920 
+ 4310    8  0  1 -1  0  0  0  0  0  0  0  0  0  0.00002342687     0.00000000228     0.00002342687 6.13516237631    3930.20969621960 
+ 4310    9  0  0  0  0  1  0  0  0  0  0  0  0 -0.00001261881     0.00000169143     0.00001273166 2.03709655772     529.69096509460 
+ 4310   10  0  0  2  0 -2  0  0  0  0  0  0  0  0.00001324273     0.00000007167     0.00001324292 0.74246356352   11506.76976979360 
+ 4310   11  0  8-13  0  0  0  0  0  0  0  0  0  0.00000485913     0.00000759757     0.00000901855 2.04505443513      26.29831979980 
+ 4310   12  0  2 -3  0  0  0  0  0  0  0  0  0 -0.00000021281     0.00001198978     0.00001199167 1.10962944315    1577.34354244780 
+ 4310   13  0  0  1 -2  0  0  0  0  0  0  0  0 -0.00000650649     0.00000558111     0.00000857223 3.50849156957     398.14900340820 
+ 4310   14  0  0  1  0 -2  0  0  0  0  0  0  0 -0.00000455902     0.00000632629     0.00000779786 1.17882652114    5223.69391980220 
+ 4310   15  0  0  2 -2  0  0  0  0  0  0  0  0 -0.00000990240     0.00000004431     0.00000990250 5.23268129594    5884.92684658320 
+ 4310   16  0  3 -4  0  0  0  0  0  0  0  0  0 -0.00000014183     0.00000753007     0.00000753141 2.53339053818    5507.55323866740 
+ 4310   17  0  0  3  0  0  0  0  0  0  0  0  0  0.00000316717     0.00000393677     0.00000505264 4.58292563052   18849.22754997420 
+ 4310   18  0  3 -5  0  0  0  0  0  0  0  0  0 -0.00000476610     0.00000123612     0.00000492379 4.20506639861     775.52261132400 
+ 4310   19  0  0  8-16  4  5  0  0  0  0  0  0  0.00000106176     0.00000340484     0.00000356655 2.91954116867       0.06731030280 
+ 4310   20  0  0  2 -4  0  0  0  0  0  0  0  0 -0.00000150614     0.00000240920     0.00000284125 1.89869034186     796.29800681640 
+ 4310   21  0  0  3 -4  0  0  0  0  0  0  0  0 -0.00000210468     0.00000121079     0.00000242810 0.34481140906    5486.77784317500 
+ 4310   22  0  3 -3  0  0  0  0  0  0  0  0  0 -0.00000317070    -0.00000003232     0.00000317087 5.84901952218   11790.62908865880 
+ 4310   23  0  0  2  0 -3  0  0  0  0  0  0  0  0.00000266786     0.00000047825     0.00000271039 0.31488607649   10977.07880469900 
+ 4310   24  0  0  2 -3  0  0  0  0  0  0  0  0 -0.00000179885     0.00000100714     0.00000206160 4.80646606059    2544.31441988340 
+ 4310   25  0  0  0  0  0  0  0  0  1  0 -1  0 -0.00000205385     0.00000000000     0.00000205385 1.86947813692    5573.14280143310 
+ 4310   26  0  0  1  0  0 -1  0  0  0  0  0  0 -0.00000202255    -0.00000001502     0.00000202261 2.45767795458    6069.77675455340 
+ 4310   27  0  3 -7  4  0  0  0  0  0  0  0  0  0.00000106595    -0.00000067526     0.00000126184 1.08302630210      20.77539549240 
+ 4310   28  0  0  0  0  0  1  0  0  0  0  0  0  0.00000006368     0.00000155386     0.00000155516 0.83306073807     213.29909543800 
+ 4310   29  0  0 10-19  0  3  0  0  0  0  0  0 -0.00000036820    -0.00000109085     0.00000115132 0.64544911683       0.98032106820 
+ 4310   30  0  0  1  0 -3  0  0  0  0  0  0  0 -0.00000064766     0.00000079899     0.00000102851 0.63599846727    4694.00295470760 
+ 4310   31  0  0  0  0  2 -5  0  0  0  0  0  0  0.00000090463     0.00000046521     0.00000101724 4.26679821365       7.11354700080 
+ 4310   32  0  0  3 -5  0  0  0  0  0  0  0  0 -0.00000051936     0.00000084525     0.00000099206 6.20992940258    2146.16541647520 
+ 4310   33  0  0  1 -1  0  0  0  0  0  0  0  0 -0.00000132209    -0.00000000953     0.00000132212 3.41118275555    2942.46342329160 
+ 4310   34  0  0  8-15  0  0  0  0  0  0  0  0  0.00000089703    -0.00000038479     0.00000097607 0.68101272270     155.42039943420 
+ 4310   35  0  0  1  0  2 -5  0  0  0  0  0  0 -0.00000035128    -0.00000077542     0.00000085128 1.29870743025    6275.96230299060 
+ 4310   36  0  0  4 -6  0  0  0  0  0  0  0  0 -0.00000038773     0.00000063792     0.00000074651 1.75508916159    5088.62883976680 
+ 4310   37  0  4 -4  0  0  0  0  0  0  0  0  0 -0.00000101895     0.00000000267     0.00000101895 0.97569221824   15720.83878487840 
+ 4310   38  0  0  1  0  0  0  0  0 -1  0  0  0  0.00000018966     0.00000082560     0.00000084711 3.67080093025   71430.69561812909 
+ 4310   39  0  5 -8  0  0  0  0  0  0  0  0  0 -0.00000022807    -0.00000069921     0.00000073547 4.67926565481     801.82093112380 
+ 4310   40  0  4 -6  0  0  0  0  0  0  0  0  0 -0.00000071553     0.00000018375     0.00000073874 3.50319443167    3154.68708489560 
+ 4310   41  0  0  2  0 -1  0  0  0  0  0  0  0 -0.00000010177     0.00000078096     0.00000078756 3.03698313141   12036.46073488820 
+ 4310   42  0  0  3  0 -3  0  0  0  0  0  0  0  0.00000079363    -0.00000006607     0.00000079637 1.80791330700   17260.15465469040 
+ 4310   43  0  0  0  0  0  0  0  0  1  0  1  0  0.00000085803     0.00000000000     0.00000085803 5.98322631256  161000.68573767410 
+ 4310   44  0  0  3 -8  3  0  0  0  0  0  0  0 -0.00000049587    -0.00000028034     0.00000056963 2.78430398043    6286.59896834040 
+ 4310   45  0  5 -7  0  0  0  0  0  0  0  0  0  0.00000059711    -0.00000013180     0.00000061148 1.81839811024    7084.89678111520 
+ 4310   46  0  4 -5  0  0  0  0  0  0  0  0  0  0.00000002599    -0.00000069579     0.00000069627 0.83297596966    9437.76293488700 
+ 4310   47  0  2 -1  0  0  0  0  0  0  0  0  0  0.00000011801     0.00000054862     0.00000056116 4.38694880779   14143.49524243060 
+ 4310   48  0  0  3 -3  0  0  0  0  0  0  0  0  0.00000062374     0.00000003052     0.00000062449 3.97763880587    8827.39026987480 
+ 4310   49  0  0  1  0  0 -2  0  0  0  0  0  0 -0.00000014018     0.00000049187     0.00000051145 0.28306864501    5856.47765911540 
+ 4310   50  0  0  5 -8  3  0  0  0  0  0  0  0  0.00000055175     0.00000006674     0.00000055577 3.47006009062    6279.55273164240 
+ 4310   51  0  0  4 -5  0  0  0  0  0  0  0  0  0.00000036522    -0.00000018711     0.00000041036 5.36817351402    8429.24126646660 
+ 4310   52  0  0  4 -7  0  0  0  0  0  0  0  0 -0.00000002278     0.00000051555     0.00000051605 1.33282746983    1748.01641306700 
+ 4310   53  0  0  2  0  0 -2  0  0  0  0  0  0  0.00000051992     0.00000000054     0.00000051992 0.18914945834   12139.55350910680 
+ 4310   54  0  0  3 -6  0  0  0  0  0  0  0  0 -0.00000002800     0.00000048920     0.00000049000 0.48735065033    1194.44701022460 
+ 4310   55  0  0  2  0 -4  0  0  0  0  0  0  0  0.00000036861     0.00000013338     0.00000039200 6.16832995016   10447.38783960440 
+ 4310   56  0  0  1  0  1  0  0  0  0  0  0  0  0.00000019403     0.00000029807     0.00000035566 1.77597314691    6812.76681508600 
+ 4310   57  0  1  0  0  0  0  0  0  0  0  0  0 -0.00000010034    -0.00000035375     0.00000036770 6.04133859347   10213.28554621100 
+ 4310   58  0  0  0  0  2  0  0  0  0  0  0  0 -0.00000035864     0.00000007283     0.00000036596 2.56955238628    1059.38193018920 
+ 4310   59  0  0  3  0 -2  0  0  0  0  0  0  0 -0.00000010681    -0.00000031530     0.00000033291 0.59309499459   17789.84561978500 
+ 4310   60  0  1 -2  0  0  0  0  0  0  0  0  0  0.00000035288     0.00000006890     0.00000035954 1.70876111898    2352.86615377180 
+ 4310   61  0  5 -5  0  0  0  0  0  0  0  0  0 -0.00000040937     0.00000000102     0.00000040938 2.39850881707   19651.04848109800 
+ 4310   62  0  0  5 -9  0  0  0  0  0  0  0  0  0.00000013388     0.00000026899     0.00000030047 2.73975123935    1349.86740965880 
+ 4310   63  0  0  1  0  0  0  0  0  1  0  0  0  0.00000006809     0.00000029640     0.00000030412 0.44294464135   83996.84731811189 
+ 4310   64  0  0  5 -7  0  0  0  0  0  0  0  0  0.00000013051    -0.00000019738     0.00000023663 0.48473567763    8031.09226305840 
+ 4310   65  0  0  0  1  0  0  0  0  0  0  0  0 -0.00000019793    -0.00000012804     0.00000023574 2.06527720049    3340.61242669980 
+ 4310   66  0  0  6-11  0  0  0  0  0  0  0  0  0.00000017351     0.00000011988     0.00000021089 4.14825464101     951.71840625060 
+ 4310   67  0  0  4 -8  1  5  0  0  0  0  0  0 -0.00000003942     0.00000024422     0.00000024738 0.21484762138       3.59042865180 
+ 4310   68  0  0  5 -8  0  0  0  0  0  0  0  0 -0.00000001086     0.00000025328     0.00000025352 3.16470953405    4690.47983635860 
+ 4310   69  0  2 -4  0  0  0  0  0  0  0  0  0 -0.00000022557    -0.00000003455     0.00000022820 5.22197888032    4705.73230754360 
+ 4310   70  0  0  3  0 -4  0  0  0  0  0  0  0  0.00000021227     0.00000002866     0.00000021419 1.42563735525   16730.46368959580 
+ 4310   71  0  0  7-13  0  0  0  0  0  0  0  0  0.00000021783     0.00000002173     0.00000021891 5.55594302562     553.56940284240 
+ 4310   72  0  0  3 -6  2  0  0  0  0  0  0  0 -0.00000015318     0.00000008422     0.00000017481 4.56052900359     135.06508003540 
+ 4310   73  0  0  3 -2  0  0  0  0  0  0  0  0  0.00000003914     0.00000019536     0.00000019925 5.22208471269   12168.00269657460 
+ 4310   74  0  8-12  0  0  0  0  0  0  0  0  0 -0.00000019595     0.00000003235     0.00000019860 5.77470167653    6309.37416979120 
+ 4310   75  0  3 -5  0  2  0  0  0  0  0  0  0  0.00000020296    -0.00000000366     0.00000020300 0.37133792946     283.85931886520 
+ 4310   76  0  0  9-17  0  0  0  0  0  0  0  0  0.00000008861    -0.00000011377     0.00000014421 4.19315332546     242.72860397400 
+ 4310   77  0  0  4 -4  0  0  0  0  0  0  0  0  0.00000015810     0.00000003643     0.00000016225 5.98837722564   11769.85369316640 
+ 4310   78  0  8-14  0  0  0  0  0  0  0  0  0 -0.00000014194     0.00000005083     0.00000015077 4.19567181073    6256.77753019160 
+ 4310   79  0  6 -6  0  0  0  0  0  0  0  0  0 -0.00000019124     0.00000000028     0.00000019124 3.82219996949   23581.25817731760 
+ 4310   80  0  0  0  0  0  0  0  0  3  0 -1  0  0.00000018888     0.00000000008     0.00000018888 5.38626880969  149854.40013480789 
+ 4310   81  0  6-10  0  3  0  0  0  0  0  0  0 -0.00000005623     0.00000013199     0.00000014346 3.72355084422      38.02767263580 
+ 4310   82  0  5 -6  0  0  0  0  0  0  0  0  0 -0.00000000061    -0.00000017898     0.00000017898 2.21490735647   13367.97263110660 
+ 4310   83  1  0 -4  0  0  0  0  0  0  0  0  0  0.00000010454     0.00000006002     0.00000012054 2.62229588349     955.59974160860 
+ 4310   84  0  0  1  0 -4  0  0  0  0  0  0  0 -0.00000008269     0.00000007683     0.00000011287 0.17739328092    4164.31198961300 
+ 4310   85  0  0  0  2  0  0  0  0  0  0  0  0  0.00000013811    -0.00000002110     0.00000013971 4.40138139996    6681.22485339960 
+ 4310   86  0  0  6 -9  0  0  0  0  0  0  0  0  0.00000001033    -0.00000013582     0.00000013621 1.88934471407    7632.94325965020 
+ 4310   87  0  5 -6 -4  0  0  0  0  0  0  0  0 -0.00000012335    -0.00000002043     0.00000012503 1.13052412208       5.52292430740 
+ 4310   88  0  0  4 -8  0  0  0  0  0  0  0  0  0.00000004512     0.00000009479     0.00000010498 5.35909518669    1592.59601363280 
+ 4310   89  0  0  5 -6  0  0  0  0  0  0  0  0  0.00000009059    -0.00000003747     0.00000009803 0.99947478995   11371.70468975820 
+ 4310   90  0  0  6-10  0  0  0  0  0  0  0  0  0.00000004121     0.00000008247     0.00000009220 4.57138609781    4292.33083295040 
+ 4310   91  0  0  9-15  0  0  0  0  0  0  0  0 -0.00000010082    -0.00000002239     0.00000010327 6.19982566125    6438.49624942560 
+ 4310   92  0  0  0  0  2 -2  0  0  0  0  0  0 -0.00000012001     0.00000000220     0.00000012003 1.00351456700     632.78373931320 
+ 4310   93  0  0  0  0  1 -2  0  0  0  0  0  0 -0.00000010778     0.00000001027     0.00000010827 0.32734520222     103.09277421860 
+ 4310   94  0  0  4  0  0  0  0  0  0  0  0  0  0.00000005168    -0.00000006567     0.00000008356 4.53902685948   25132.30339996560 
+ 4310   95  0  0  1  0  1 -5  0  0  0  0  0  0 -0.00000009821    -0.00000001912     0.00000010005 6.02914963280    5746.27133789600 
+ 4310   96  0  0  7-11  0  0  0  0  0  0  0  0 -0.00000003481    -0.00000007654     0.00000008409 3.29946744189    7234.79425624200 
+ 4310   97  0  0  1 -2  0  2  0  0  0  0  0  0 -0.00000006654    -0.00000004453     0.00000008006 5.82145271907      28.44918746780 
+ 4310   98  0  0  2  0  0 -3  0  0  0  0  0  0 -0.00000000566     0.00000010508     0.00000010523 0.93871805506   11926.25441366880 
+ 4310   99  1  0 -3  0  0  0  0  0  0  0  0  0  0.00000005711    -0.00000005143     0.00000007686 3.12142363172    7238.67559160000 
+ 4310  100  0  0  1  0 -3  5  0  0  0  0  0  0  0.00000009299    -0.00000001216     0.00000009378 2.62414241032    5760.49843189760 
+ 4310  101  0  6 -9  0  0  0  0  0  0  0  0  0 -0.00000002440    -0.00000007752     0.00000008127 6.11228001785    4732.03062734340 
+ 4310  102  0  0  0  0  3 -5  0  0  0  0  0  0 -0.00000000799    -0.00000009197     0.00000009232 0.48343968736     522.57741809380 
+ 4310  103  0  7 -7  0  0  0  0  0  0  0  0  0 -0.00000009802     0.00000000022     0.00000009802 5.24413991147   27511.46787353720 
+ 4310  104  0  0  1  0  0 -3  0  0  0  0  0  0 -0.00000007534    -0.00000002279     0.00000007871 0.99590177926    5643.17856367740 
+ 4310  105  0  0  0  0  0  2  0  0  0  0  0  0  0.00000007977    -0.00000001533     0.00000008123 6.27053013650     426.59819087600 
+ 4310  106  0  0  1  0  1 -2  0  0  0  0  0  0  0.00000009046     0.00000000176     0.00000009048 5.33686335897    6386.16862421000 
+ 4310  107  0  3 -6  0  0  0  0  0  0  0  0  0 -0.00000000271    -0.00000008616     0.00000008620 4.16538210888    7058.59846131540 
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+ VSOP87 VERSION D4    EARTH     VARIABLE 1 (LBR)       *T**4     11 TERMS    HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX OF THE DATE
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+ VSOP87 VERSION D4    EARTH     VARIABLE 1 (LBR)       *T**5      5 TERMS    HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX OF THE DATE
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+ 4320  176  0  0  1  0  0  0  0  0  0 -1  1  0  0.00000000017     0.00000000075     0.00000000077 2.25530954137    5235.32853823670 
+ 4320  177  0  0  1  0  0  0  0  0 -1  1  0  0 -0.00000000017    -0.00000000074     0.00000000076 1.09869730846   12903.96596317920 
+ 4320  178  0  0  2  0  2 -5  0  0  0  0  0  0  0.00000000042    -0.00000000040     0.00000000058 4.28246138307   12559.03815298200 
+ 4320  179  0  0  1  0  0  0  0  0  0  1  1  0  0.00000000014     0.00000000063     0.00000000064 5.51112830114  173904.65170085328 
+ 4320  180  0  0  0  0  0  0  0  0  2  1 -2  0 -0.00000000056     0.00000000000     0.00000000056 2.60133794851   73188.37597844210 
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+ 4320  182  0  0  0  0  0  0  0  0  2  1  1  0 -0.00000000054     0.00000000000     0.00000000054 3.38482031504  323049.11878710288 
+ 4320  183  0  0  2  0  0  0  0  0  0 -1  0  0 -0.00000000035     0.00000000017     0.00000000039 3.28500401343   71768.50988132549 
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+ VSOP87 VERSION D4    EARTH     VARIABLE 2 (LBR)       *T**1     99 TERMS    HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX OF THE DATE
+ 4321    1  0  3 -4  0  0  0  0  0  0  0  0  0 -0.00000008870     0.00000001688     0.00000009030 3.89729061890    5507.55323866740 
+ 4321    2  0  0  1  0 -2  0  0  0  0  0  0  0 -0.00000005702     0.00000002376     0.00000006177 1.73038850355    5223.69391980220 
+ 4321    3  0  1 -2  0  0  0  0  0  0  0  0  0 -0.00000003723     0.00000000758     0.00000003800 5.24404145734    2352.86615377180 
+ 4321    4  0  2 -3  0  0  0  0  0  0  0  0  0 -0.00000002784     0.00000000533     0.00000002834 2.47345037450    1577.34354244780 
+ 4321    5  0  0  1  0  0  0  0  0  0  0  0  0  0.00000001767     0.00000000425     0.00000001817 0.41874743765    6283.07584999140 
+ 4321    6  0  0  1  0  0 -2  0  0  0  0  0  0 -0.00000001450    -0.00000000381     0.00000001499 1.83320979291    5856.47765911540 
+ 4321    7  0  0  1  0 -1  0  0  0  0  0  0  0  0.00000001444    -0.00000000251     0.00000001466 5.69401926017    5753.38488489680 
+ 4321    8  0  4 -5  0  0  0  0  0  0  0  0  0  0.00000001280    -0.00000000230     0.00000001301 2.18890066314    9437.76293488700 
+ 4321    9  0  1  0  0  0  0  0  0  0  0  0  0 -0.00000001207    -0.00000000251     0.00000001233 4.95222451476   10213.28554621100 
+ 4321   10  0  2 -2  0  0  0  0  0  0  0  0  0  0.00000000421    -0.00000000930     0.00000001021 0.12866660208    7860.41939243920 
+ 4321   11  0  2 -1  0  0  0  0  0  0  0  0  0 -0.00000000962    -0.00000000199     0.00000000982 0.09005453285   14143.49524243060 
+ 4321   12  0  1 -1  0  0  0  0  0  0  0  0  0 -0.00000000270     0.00000000822     0.00000000865 1.73949953555    3930.20969621960 
+ 4321   13  0  0  2 -2  0  0  0  0  0  0  0  0  0.00000000572     0.00000000101     0.00000000581 2.26949174067    5884.92684658320 
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+ 4321   15  0  8-12  0  0  0  0  0  0  0  0  0 -0.00000000453    -0.00000000135     0.00000000473 6.22750969242    6309.37416979120 
+ 4321   16  0  3 -2  0  0  0  0  0  0  0  0  0 -0.00000000440    -0.00000000100     0.00000000451 1.53288619213   18073.70493865020 
+ 4321   17  0  5 -6  0  0  0  0  0  0  0  0  0  0.00000000358    -0.00000000063     0.00000000364 3.61614477374   13367.97263110660 
+ 4321   18  0  0  1  0  2 -5  0  0  0  0  0  0  0.00000000371    -0.00000000026     0.00000000372 3.22470721320    6275.96230299060 
+ 4321   19  0  3 -3  0  0  0  0  0  0  0  0  0  0.00000000252    -0.00000000093     0.00000000268 2.34341267879   11790.62908865880 
+ 4321   20  0  0  1  0  0 -1  0  0  0  0  0  0 -0.00000000020     0.00000000321     0.00000000322 0.94084045832    6069.77675455340 
+ 4321   21  0  3 -6  0  0  0  0  0  0  0  0  0 -0.00000000154     0.00000000174     0.00000000232 0.26781182579    7058.59846131540 
+ 4321   22  0  0  2  0 -3  0  0  0  0  0  0  0  0.00000000202    -0.00000000076     0.00000000216 6.05952221329   10977.07880469900 
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+ 4321   41  0  5 -5  0  0  0  0  0  0  0  0  0  0.00000000047    -0.00000000111     0.00000000121 4.36722193162   19651.04848109800 
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+ 4321   43  0  5 -4  0  0  0  0  0  0  0  0  0 -0.00000000126    -0.00000000026     0.00000000128 4.35489873365   25934.12433108940 
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+ 4321   45  0  0  9-15  0  0  0  0  0  0  0  0  0.00000000104    -0.00000000034     0.00000000109 2.52157834166    6438.49624942560 
+ 4321   46  0  0  1  0  0 -5  0  0  0  0  0  0  0.00000000081     0.00000000057     0.00000000099 2.70727488041    5216.58037280140 
+ 4321   47  0  0  3 -3  0  0  0  0  0  0  0  0 -0.00000000101    -0.00000000015     0.00000000103 0.93782340879    8827.39026987480 
+ 4321   48  0  1 -3  0  0  0  0  0  0  0  0  0  0.00000000066    -0.00000000049     0.00000000082 4.29214680390    8635.94200376320 
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+ 4321   51  0  7 -8  0  0  0  0  0  0  0  0  0  0.00000000072    -0.00000000010     0.00000000072 0.21891639822   21228.39202354580 
+ 4321   52  0  0  0  2  0  0  0  0  0  0  0  0 -0.00000000008    -0.00000000071     0.00000000071 2.86755026812    6681.22485339960 
+ 4321   53  0  8 -7  0  0  0  0  0  0  0  0  0 -0.00000000074    -0.00000000005     0.00000000074 2.20184828895   37724.75341974820 
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+ 4321   55  0  7 -6  0  0  0  0  0  0  0  0  0 -0.00000000061     0.00000000005     0.00000000061 0.63918772258   33794.54372352860 
+ 4321   56  0  4 -7  0  0  0  0  0  0  0  0  0  0.00000000027    -0.00000000038     0.00000000047 2.09070235724    3128.38876509580 
+ 4321   57  1  0  0  0  0  0  0  0  0  0  0  0  0.00000000041     0.00000000022     0.00000000047 3.32543843300   26087.90314157420 
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+ 4321   59  0  9-10  0  0  0  0  0  0  0  0  0 -0.00000000057    -0.00000000003     0.00000000057 0.11215813438   29088.81141598500 
+ 4321   60  0  3 -5  0  0  0  0  0  0  0  0  0 -0.00000000002     0.00000000056     0.00000000056 5.47982934911     775.52261132400 
+ 4321   61  0  0  2  0  0 -2  0  0  0  0  0  0 -0.00000000007     0.00000000050     0.00000000050 1.89396788463   12139.55350910680 
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+ 4321   63  0  6 -8  0  0  0  0  0  0  0  0  0 -0.00000000020     0.00000000035     0.00000000041 5.55329394890   11015.10647733480 
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+ 4321   71  0  0  9-16  4  5  0  0  0  0  0  0 -0.00000000035     0.00000000011     0.00000000036 6.24373396652    6283.14316029419 
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+ VSOP87 VERSION D4    EARTH     VARIABLE 2 (LBR)       *T**2     49 TERMS    HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX OF THE DATE
+ 4322    1  0  0  0  0  0  0  0  0  0  1  0  0  0.00000000001     0.00000001662     0.00000001662 1.62703209173   84334.66158130829 
+ 4322    2  0  0  0  0  0  0  0  0  0  1 -1  0  0.00000000000    -0.00000000492     0.00000000492 2.41382223971    1047.74731175470 
+ 4322    3  0  3 -4  0  0  0  0  0  0  0  0  0  0.00000000092     0.00000000332     0.00000000344 2.24353004539    5507.55323866740 
+ 4322    4  0  0  1  0 -2  0  0  0  0  0  0  0  0.00000000190     0.00000000174     0.00000000258 6.00906896311    5223.69391980220 
+ 4322    5  0  0  1  0  0  0  0  0  0  0  0  0  0.00000000094     0.00000000092     0.00000000131 0.95447345240    6283.07584999140 
+ 4322    6  0  2 -2  0  0  0  0  0  0  0  0  0  0.00000000079     0.00000000034     0.00000000086 1.67530247303    7860.41939243920 
+ 4322    7  0  2 -3  0  0  0  0  0  0  0  0  0  0.00000000010     0.00000000090     0.00000000090 0.97606804452    1577.34354244780 
+ 4322    8  0  1 -2  0  0  0  0  0  0  0  0  0  0.00000000004     0.00000000090     0.00000000090 0.37899871725    2352.86615377180 
+ 4322    9  0  1  0  0  0  0  0  0  0  0  0  0 -0.00000000005    -0.00000000089     0.00000000089 6.25807507963   10213.28554621100 
+ 4322   10  0  0  0  0  0  0  0  0  0  1  1  0  0.00000000000    -0.00000000075     0.00000000075 0.84213523741  167621.57585086189 
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+ VSOP87 VERSION D4    EARTH     VARIABLE 2 (LBR)       *T**3     11 TERMS    HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX OF THE DATE
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+ 4323    2  0  3 -4  0  0  0  0  0  0  0  0  0  0.00000000009     0.00000000002     0.00000000009 1.16069982609    5507.55323866740 
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+ 4323    4  0  3 -6  0  0  0  0  0  0  0  0  0  0.00000000008    -0.00000000002     0.00000000008 2.86720038197    7058.59846131540 
+ 4323    5  0  0  3 -4  0  0  0  0  0  0  0  0  0.00000000004    -0.00000000006     0.00000000007 3.04818741666    5486.77784317500 
+ 4323    6  0  0  0  0  1  0  0  0  0  0  0  0 -0.00000000007    -0.00000000003     0.00000000007 2.59437103785     529.69096509460 
+ 4323    7  0  8-14  0  0  0  0  0  0  0  0  0 -0.00000000008     0.00000000001     0.00000000008 4.02863090524    6256.77753019160 
+ 4323    8  0  0  1  0 -1  0  0  0  0  0  0  0 -0.00000000007     0.00000000002     0.00000000008 2.42003508927    5753.38488489680 
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+ 4323   11  0  8-12  0  0  0  0  0  0  0  0  0  0.00000000007     0.00000000000     0.00000000007 2.73399865247    6309.37416979120 
+ VSOP87 VERSION D4    EARTH     VARIABLE 2 (LBR)       *T**4      5 TERMS    HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX OF THE DATE
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+ VSOP87 VERSION D4    EARTH     VARIABLE 3 (LBR)       *T**0    526 TERMS    HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX OF THE DATE
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+ VSOP87 VERSION D4    EARTH     VARIABLE 3 (LBR)       *T**2    139 TERMS    HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX OF THE DATE
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+ 4332  139  0  0  0  0  0  1  0  0  0  0  0  0  0.00000000007    -0.00000000006     0.00000000009 4.91488110218     213.29909543800 
+ VSOP87 VERSION D4    EARTH     VARIABLE 3 (LBR)       *T**3     27 TERMS    HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX OF THE DATE
+ 4333    1  0  0  1  0  0  0  0  0  0  0  0  0 -0.00000084235    -0.00000117526     0.00000144595 4.27319435148    6283.07584999140 
+ 4333    2  0  0  2  0  0  0  0  0  0  0  0  0 -0.00000002682     0.00000006171     0.00000006729 3.91697608662   12566.15169998280 
+ 4333    3  0  0  0  0  0  0  0  0  0  0  0  0  0.00000000000     0.00000000774     0.00000000774 0.00000000000       0.00000000000 
+ 4333    4  0  0  3  0  0  0  0  0  0  0  0  0  0.00000000247     0.00000000010     0.00000000247 3.73019298781   18849.22754997420 
+ 4333    5  0  0  3 -8  3  0  0  0  0  0  0  0 -0.00000000031    -0.00000000017     0.00000000036 2.80081409050    6286.59896834040 
+ 4333    6  0  0  7-15  0  0  0  0  0  0  0  0  0.00000000008     0.00000000032     0.00000000033 5.62216602775    6127.65545055720 
+ 4333    7  0  0  9-15  0  0  0  0  0  0  0  0  0.00000000012     0.00000000014     0.00000000019 3.71292621802    6438.49624942560 
+ 4333    8  0  0  8-17  0  0  0  0  0  0  0  0  0.00000000012     0.00000000011     0.00000000016 4.26011484232    6525.80445396540 
+ 4333    9  0  8-14  0  0  0  0  0  0  0  0  0 -0.00000000015    -0.00000000005     0.00000000016 3.50416887054    6256.77753019160 
+ 4333   10  0  0  4  0  0  0  0  0  0  0  0  0 -0.00000000004    -0.00000000014     0.00000000014 3.62127621114   25132.30339996560 
+ 4333   11  0  2 -4  0  0  0  0  0  0  0  0  0 -0.00000000006    -0.00000000009     0.00000000011 4.39200958819    4705.73230754360 
+ 4333   12  0  0 10-17  0  0  0  0  0  0  0  0  0.00000000009     0.00000000005     0.00000000011 5.22327127059    6040.34724601740 
+ 4333   13  0  0  1  0  0  0  0  0  1  0  0  0  0.00000000005    -0.00000000009     0.00000000010 4.28045254647   83996.84731811189 
+ 4333   14  0  3 -4  0  0  0  0  0  0  0  0  0  0.00000000007     0.00000000005     0.00000000009 1.56864096494    5507.55323866740 
+ 4333   15  0  8-12  0  0  0  0  0  0  0  0  0  0.00000000002    -0.00000000011     0.00000000011 1.37795688024    6309.37416979120 
+ 4333   16  0  0  1  0  0  0  0  0 -1  0  0  0  0.00000000010    -0.00000000002     0.00000000010 5.19937959068   71430.69561812909 
+ 4333   17  0  0  5 -8  3  0  0  0  0  0  0  0 -0.00000000009    -0.00000000002     0.00000000009 0.47275199930    6279.55273164240 
+ 4333   18  0  0  6-13  0  0  0  0  0  0  0  0 -0.00000000002     0.00000000009     0.00000000009 0.74642756529    5729.50644714900 
+ 4333   19  0  3 -5  0  0  0  0  0  0  0  0  0 -0.00000000004    -0.00000000006     0.00000000007 2.97374891560     775.52261132400 
+ 4333   20  0  3 -6  0  0  0  0  0  0  0  0  0  0.00000000005    -0.00000000004     0.00000000007 3.28615691021    7058.59846131540 
+ 4333   21  0  0  1  0  1  0  0  0  0  0  0  0  0.00000000001     0.00000000007     0.00000000007 2.19184402142    6812.76681508600 
+ 4333   22  0  0  0  0  1  0  0  0  0  0  0  0 -0.00000000003    -0.00000000004     0.00000000005 3.15419034438     529.69096509460 
+ 4333   23  0  0  0  0  2  0  0  0  0  0  0  0  0.00000000001    -0.00000000006     0.00000000006 4.54725567047    1059.38193018920 
+ 4333   24  0  0  1 -4  0  0  0  0  0  0  0  0 -0.00000000002    -0.00000000005     0.00000000005 1.51104406936    7079.37385680780 
+ 4333   25  0  0  0  2  0  0  0  0  0  0  0  0  0.00000000000    -0.00000000007     0.00000000007 2.98052059053    6681.22485339960 
+ 4333   26  0  0  2  0 -1  0  0  0  0  0  0  0  0.00000000003     0.00000000004     0.00000000005 2.30961231391   12036.46073488820 
+ 4333   27  0  0  1  0 -2  5  0  0  0  0  0  0  0.00000000005     0.00000000002     0.00000000005 3.71102966917    6290.18939699220 
+ VSOP87 VERSION D4    EARTH     VARIABLE 3 (LBR)       *T**4     10 TERMS    HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX OF THE DATE
+ 4334    1  0  0  1  0  0  0  0  0  0  0  0  0 -0.00000002795     0.00000002659     0.00000003858 2.56384387339    6283.07584999140 
+ 4334    2  0  0  2  0  0  0  0  0  0  0  0  0  0.00000000289     0.00000000099     0.00000000306 2.26769501230   12566.15169998280 
+ 4334    3  0  0  0  0  0  0  0  0  1  0 -1  0  0.00000000000     0.00000000053     0.00000000053 3.44031471924    5573.14280143310 
+ 4334    4  0  0  3  0  0  0  0  0  0  0  0  0 -0.00000000001    -0.00000000015     0.00000000015 2.04794573436   18849.22754997420 
+ 4334    5  0  0  0  0  0  0  0  0  1  0  0  0  0.00000000000    -0.00000000013     0.00000000013 2.05688873673   77713.77146812050 
+ 4334    6  0  0  0  0  0  0  0  0  1  0  1  0  0.00000000000    -0.00000000007     0.00000000007 4.41218854480  161000.68573767410 
+ 4334    7  0  0  9-15  0  0  0  0  0  0  0  0 -0.00000000004     0.00000000003     0.00000000005 5.26154653107    6438.49624942560 
+ 4334    8  0  0  7-15  0  0  0  0  0  0  0  0 -0.00000000005     0.00000000001     0.00000000005 4.07695126049    6127.65545055720 
+ 4334    9  0  0  0  0  0  0  0  0  3  0 -1  0  0.00000000000    -0.00000000006     0.00000000006 3.81514213664  149854.40013480789 
+ 4334   10  0  0  3 -8  3  0  0  0  0  0  0  0  0.00000000001    -0.00000000003     0.00000000003 1.28175749811    6286.59896834040 
+ VSOP87 VERSION D4    EARTH     VARIABLE 3 (LBR)       *T**5      3 TERMS    HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX OF THE DATE
+ 4335    1  0  0  1  0  0  0  0  0  0  0  0  0  0.00000000044     0.00000000074     0.00000000086 1.21579741687    6283.07584999140 
+ 4335    2  0  0  2  0  0  0  0  0  0  0  0  0  0.00000000003    -0.00000000011     0.00000000012 0.65617264033   12566.15169998280 
+ 4335    3  0  0  3  0  0  0  0  0  0  0  0  0 -0.00000000001     0.00000000000     0.00000000001 0.38068797142   18849.22754997420 
diff --git a/data/nutation.txt b/data/nutation.txt
new file mode 100644
index 0000000..9bb32a7
--- /dev/null
+++ b/data/nutation.txt
@@ -0,0 +1,63 @@
+  0  0  0  0  1  -171996  -174.2  92025   8.9
+ -2  0  0  2  2   -13187    -1.6   5736  -3.1
+  0  0  0  0  2    -2274    -0.2    977  -0.5
+  0  0  1  0  0     2062     0.2   -895   0.5
+  0  1  0  0  0    -1426    -3.4     54  -0.1
+  0  0  1  0  0      712     0.1     -7     0
+ -2  1  0  2  2     -517     1.2    224  -0.6
+  0  0  0  2  1     -386    -0.4    200     0
+  0  0  1  2  2     -301       0    129  -0.1
+ -2 -1  0  2  2      217    -0.5    -95   0.3
+ -2  0  1  0  0     -158       0      0     0
+ -2  0  0  2  1      129     0.1    -70     0
+  0  0 -1  2  2      123       0    -53     0
+  2  0  0  0  0       63       0      0     0
+  0  0  1  0  1       63     0.1    -33     0
+  2  0 -1  2  2      -59       0     26     0
+  0  0 -1  0  1      -58    -0.1     32     0
+  0  0  1  2  1      -51       0     27     0
+ -2  0  2  0  0       48       0      0     0
+  0  0 -2  2  1       46       0    -24     0
+  2  0  0  2  2      -38       0     16     0
+  0  0  2  2  2      -31       0     13     0
+  0  0  2  0  0       29       0      0     0
+ -2  0  1  2  2       29       0    -12     0
+  0  0  0  2  0       26       0      0     0
+ -2  0  0  2  0      -22       0      0     0
+  0  0 -1  2  1       21       0    -10     0
+  0  2  0  0  0       17    -0.1      0     0
+  2  0 -1  0  1       16       0     -8     0
+ -2  2  0  2  2      -16     0.1      7     0
+  0  1  0  0  1      -15       0      9     0
+ -2  0  1  0  1      -13       0      7     0
+  0 -1  0  0  1      -12       0      6     0
+  0  0  2 -2  0       11       0      0     0
+  2  0 -1  2  1      -10       0      5     0
+  2  0  1  2  2       -8       0      3     0
+  0  1  0  2  2        7       0     -3     0
+ -2  1  1  0  0       -7       0      0     0
+  0 -1  0  2  2       -7       0      3     0
+  2  0  0  2  1       -7       0      3     0
+  2  0  1  0  0        6       0      0     0
+ -2  0  2  2  2        6       0     -3     0
+ -2  0  1  2  1        6       0     -3     0
+  2  0 -2  0  1       -6       0      3     0
+  2  0  0  0  1       -6       0      3     0
+  0 -1  1  0  0        5       0      0     0
+ -2 -1  0  2  1       -5       0      3     0
+ -2  0  0  0  1       -5       0      3     0
+  0  0  2  2  1       -5       0      3     0
+ -2  0  2  0  1        4       0      0     0
+ -2  1  0  2  1        4       0      0     0
+  0  0  1 -2  0        4       0      0     0
+ -1  0  1  0  0       -4       0      0     0
+ -2  1  0  0  0       -4       0      0     0
+  1  0  0  0  0       -4       0      0     0
+  0  0  1  2  0        3       0      0     0
+  0  0 -2  2  2       -3       0      0     0
+ -1 -1  1  0  0       -3       0      0     0
+  0  1  1  0  0       -3       0      0     0
+  0 -1  1  2  2       -3       0      0     0
+  2 -1 -1  2  2       -3       0      0     0
+  0  0  3  2  2       -3       0      0     0
+  2 -1  0  2  2       -3       0      0     0
diff --git a/test.cpp b/test.cpp
new file mode 100644
index 0000000..fecf9cd
--- /dev/null
+++ b/test.cpp
@@ -0,0 +1,27 @@
+#include <iostream>
+#include <fstream>
+#include <string>
+#include <cstdio>
+using namespace std;
+
+int main()
+{
+    fstream fr,fw;
+    fr.open("data/delta_T.txt",ios::in);
+    fw.open("fuck1.txt",ios::out);
+    int year;
+    string s;
+    char sout[1024];
+    double a[4];
+    fw<<"double d={"<<endl;
+    while(getline(fr,s))
+    {
+        sscanf(s.c_str(),"%d%lf%lf%lf%lf",&year,&a[0],&a[1],&a[2],&a[3]);
+        sprintf(sout,"{%d,\t%lf,\t%lf,\t%lf,\t%lf},",year,a[0],a[1],a[2],a[3]);
+        fw<<sout<<endl;
+    }
+    fw<<"};"<<endl;
+    fr.close();
+    fw.close();
+    return 0;
+}