/// <summary>
/// 求空间两点连线与地球的交点(靠近点1的交点),返回在ZB.le_J,le_W,赤道坐标。R1,R2单位是千米
/// </summary>
/// <param name="J1"></param>
/// <param name="W1"></param>
/// <param name="R1"></param>
/// <param name="J2"></param>
/// <param name="W2"></param>
/// <param name="R2"></param>
public static void line_earth(double J1, double W1, double R1, double J2, double W2, double R2)
{
double x1 = R1 * Math.Cos(W1) * Math.Cos(J1), y1 = R1 * Math.Cos(W1) * Math.Sin(J1), z1 = R1 * Math.Sin(W1);
double x2 = R2 * Math.Cos(W2) * Math.Cos(J2), y2 = R2 * Math.Cos(W2) * Math.Sin(J2), z2 = R2 * Math.Sin(W2);
double dx = x2 - x1, dy = y2 - y1, dz = z2 - z1, f = 0.99664719, r = LunarHelper.cs_rEar; //直线参数及地球参数
double x, y, z, lh = 0;
if (Math.Abs(dx) < Math.Abs(dy)) //必要时仑换
{
lh = dx; dx = dy; dy = lh; lh = x1; x1 = y1; y1 = lh; lh = 1;
}
double a = dy / dx, b = y1 - a * x1, c = dz / dx / f, d = z1 / f - c * x1;
double A = a * a + c * c + 1, B = a * b + c * d, C = b * b + d * d - r * r, D = B * B - A * C;
if (D < 0)
{
ZB.le_J = ZB.le_W = 100; return;
} //返回100表示无解
D = Math.Sqrt(D); if (x1 + B / A < 0)
{
D = -D;
}
x = (-B + D) / A; y = a * x + b; z = (c * x + d) / f;
ZB.le_R1 = Math.Sqrt((x - x1) * (x - x1) + (y - y1) * (y - y1) + (z - z1) * (z - z1));
if (lh != 0)
{
lh = x; x = y; y = lh;
}
ZB.le_W = Math.Atan(z / Math.Sqrt(x * x + y * y));
ZB.le_J = LunarHelper.rad2mrad(Math.Atan2(y, x));
}
/// <summary>
/// 时差计算(高精度)
/// </summary>
/// <param name="t"></param>
/// <returns></returns>
public static double shiCha(double t)
{
double t2 = t * t, t3 = t2 * t, t4 = t3 * t, t5 = t4 * t;
double L = (1753469512 + 628331965331.8 * t + 5296.74 * t2 + 0.432 * t3 - 0.1124 * t4 - 0.00009 * t5 + 630 * Math.Cos(6 + 0.3 * t)) / 1000000000 + Math.PI - 20.5 / LunarHelper.rad;
double E, dE, dL;
double[] z = new double[2]; // C#: 待定(?)
dL = -17.2 * Math.Sin(2.1824 - 33.75705 * t) / LunarHelper.rad; //黄经章
dE = 9.2 * Math.Cos(2.1824 - 33.75705 * t) / LunarHelper.rad; //交角章
E = ZB.hcjj(t) + dE; //真黄赤交角
//地球坐标
z[0] = XL.E_Lon(t, 50) + Math.PI + ZB.gxc_sunLon(t) + dL;
z[1] = -(2796 * Math.Cos(3.1987 + 8433.46616 * t) + 1016 * Math.Cos(5.4225 + 550.75532 * t) + 804 * Math.Cos(3.88 + 522.3694 * t)) / 1000000000;
ZB.llrConv(z, E); //z太阳地心赤道坐标
z[0] -= dL * Math.Cos(E);
L = LunarHelper.rad2mrad(L - z[0]);
if (L > Math.PI)
{
L -= LunarHelper.pi2;
}
return(L / LunarHelper.pi2); //单位是周(天)
}
/// <summary>
/// 球面坐标旋转
/// </summary>
/// <param name="JW"></param>
/// <param name="E"></param>
public static void llrConv(double[] JW, double E)
{
//黄道赤道坐标变换,赤到黄E取负
double sinE = Math.Sin(E), cosE = Math.Cos(E);
double sinJ = Math.Sin(JW[0]), cosJ = Math.Cos(JW[0]);
double sinW = Math.Sin(JW[1]), cosW = Math.Cos(JW[1]), tanW = Math.Tan(JW[1]);
JW[0] = Math.Atan2(sinJ * cosE - tanW * sinE, cosJ);
JW[1] = Math.Asin(cosE * sinW + sinE * cosW * sinJ);
JW[0] = LunarHelper.rad2mrad(JW[0]);
}
/// <summary>
/// 球面坐标旋转
/// </summary>
/// <param name="JW"></param>
/// <param name="E"></param>
public static void llrConv(LunarInfoListT <double> JW, double E) // C#: 新扩展出来的方法
{
//黄道赤道坐标变换,赤到黄E取负
double sinE = Math.Sin(E), cosE = Math.Cos(E);
double sinJ = Math.Sin((JW[0])), cosJ = Math.Cos((JW[0]));
double sinW = Math.Sin((JW[1]));
double cosW = Math.Cos((JW[1]));
double tanW = Math.Tan((JW[1]));
JW[0] = Math.Atan2(sinJ * cosE - tanW * sinE, cosJ);
JW[1] = Math.Asin(cosE * sinW + sinE * cosW * sinJ);
JW[0] = LunarHelper.rad2mrad((JW[0]));
}
/// <summary>
/// 章动同时影响恒星时和天体坐标,所以不计算章动。返回时角及赤经纬
/// </summary>
/// <param name="jd"></param>
/// <param name="H0"></param>
/// <param name="z"></param>
public static void Mcoord(double jd, double H0, LunarInfoListT <double> z)
{
XL.M_coord((jd + SZJ.dt) / 36525, z, 30, 20, 8); //低精度月亮赤经纬
ZB.llrConv(z, SZJ.E); //转为赤道坐标
z.H = LunarHelper.rad2mrad(ZB.gst(jd, SZJ.dt) - SZJ.L - z[0]);
if (z.H > Math.PI)
{
z.H -= LunarHelper.pi2; //得到此刻天体时角
}
if (H0 != 0)
{
z.H0 = SZJ.getH(0.7275 * LunarHelper.cs_rEar / z[2] - 34 * 60 / LunarHelper.rad, z[1]); //升起对应的时角
}
}
/// <summary>
/// 时差计算(低精度),误差约在1秒以内
/// </summary>
/// <param name="t"></param>
/// <returns></returns>
public static double shiCha2(double t)
{
double L = (1753469512 + 628331965331.8 * t + 5296.74 * t * t) / 1000000000 + Math.PI;
double[] z = new double[2]; // C#: 待定(?)
double E = (84381.4088 - 46.836051 * t) / LunarHelper.rad;
z[0] = XL.E_Lon(t, 5) + Math.PI; z[1] = 0; // 地球坐标
ZB.llrConv(z, E); // z太阳地心赤道坐标
L = LunarHelper.rad2mrad(L - z[0]);
if (L > Math.PI)
{
L -= LunarHelper.pi2;
}
return(L / LunarHelper.pi2); // 单位是周(天)
}
} // = 0;
#endregion
#endregion 公共属性
#region 公共方法
/// <summary>
/// 计算 sun_moon 类的成员。参数：T是力学时,站点经度L,纬度fa,海拔high(千米)
/// </summary>
/// <param name="T">力学时</param>
/// <param name="L">站点经度</param>
/// <param name="fa">站点纬度</param>
/// <param name="high">海拔</param>
public void calc(double T, double L, double fa, double high)
{
//基本参数计算
this.T = T;
this.L = L; this.fa = fa;
this.dt = JD.deltatT2(T); //TD-UT
this.jd = T - this.dt; //UT
T /= 36525; ZB.nutation(T);
this.dL = ZB.dL; //黄经章
this.dE = ZB.dE; //交角章动
this.E = ZB.hcjj(T) + this.dE; //真黄赤交角
this.gst = ZB.gst(this.jd, this.dt) + this.dL * Math.Cos(this.E); //真恒星时(不考虑非多项式部分)
double[] z = new double[4];
//=======月亮========
//月亮黄道坐标
XL.M_coord(T, z, -1, -1, -1); //月球坐标
z[0] = LunarHelper.rad2mrad(z[0] + ZB.gxc_moonLon(T) + this.dL); z[1] += ZB.gxc_moonLat(T); //补上月球光行差及章动
this.mHJ = z[0]; this.mHW = z[1]; this.mR = z[2]; //月球视黄经,视黄纬,地月质心距
//月球赤道坐标
ZB.llrConv(z, this.E); //转为赤道坐标
this.mCJ = z[0]; this.mCW = z[1]; //月球视赤经,月球赤纬
//月亮时角计算
this.mShiJ = LunarHelper.rad2mrad(this.gst - L - z[0]); //得到此刻天体时角
if (this.mShiJ > Math.PI)
{
this.mShiJ -= LunarHelper.pi2;
}
//修正了视差的赤道坐标
ZB.parallax(z, this.mShiJ, fa, high); //视差修正
this.mCJ2 = z[0]; this.mCW2 = z[1]; this.mR2 = z[2];
//月亮时角坐标
z[0] += Math.PI / 2d - this.gst + L; //转到相对于地平赤道分点的赤道坐标(时角坐标)
//月亮地平坐标
ZB.llrConv(z, Math.PI / 2 - fa); //转到地平坐标(只改经纬度)
z[0] = LunarHelper.rad2mrad(Math.PI / 2 - z[0]);
this.mDJ = z[0]; this.mDW = z[1]; //方位角,高度角
if (z[1] > 0)
{
z[1] += ZB.AR2(z[1]); //大气折射修正
}
this.mPJ = z[0]; this.mPW = z[1]; //方位角,高度角
//=======太阳========
//太阳黄道坐标
XL.E_coord(T, z, -1, -1, -1); //地球坐标
z[0] = LunarHelper.rad2mrad(z[0] + Math.PI + ZB.gxc_sunLon(T) + this.dL); //补上太阳光行差及章动
z[1] = -z[1] + ZB.gxc_sunLat(T); //z数组为太阳地心黄道视坐标
this.sHJ = z[0]; this.sHW = z[1]; this.sR = z[2]; //太阳视黄经,视黄纬,日地质心距
//太阳赤道坐标
ZB.llrConv(z, this.E); //转为赤道坐标
this.sCJ = z[0]; this.sCW = z[1]; //太阳视赤经,视赤纬
//太阳时角计算
this.sShiJ = LunarHelper.rad2mrad(this.gst - L - z[0]); //得到此刻天体时角
if (this.sShiJ > Math.PI)
{
this.sShiJ -= LunarHelper.pi2;
}
//修正了视差的赤道坐标
ZB.parallax(z, this.sShiJ, fa, high); //视差修正
this.sCJ2 = z[0]; this.sCW2 = z[1]; this.sR2 = z[2];
//太阳时角坐标
z[0] += Math.PI / 2 - this.gst + L; //转到相对于地平赤道分点的赤道坐标
//太阳地平坐标
ZB.llrConv(z, Math.PI / 2 - fa);
z[0] = LunarHelper.rad2mrad(Math.PI / 2 - z[0]);
//z[1] -= 8.794/rad/z[2]*Math.cos(z[1]); //直接在地平坐标中视差修正(这里把地球看为球形,精度比ZB.parallax()稍差一些)
this.sDJ = z[0]; this.sDW = z[1]; //方位角,高度角
if (z[1] > 0)
{
z[1] += ZB.AR2(z[1]); //大气折射修正
}
this.sPJ = z[0]; this.sPW = z[1]; //方位角,高度角
//=======其它========
//时差计算
double t = T / 10; double t2 = t * t, t3 = t2 * t, t4 = t3 * t, t5 = t4 * t;
double Lon = (1753469512 + 6283319653318 * t + 529674 * t2 + 432 * t3 - 1124 * t4 - 9 * t5 + 630 * Math.Cos(6 + 3 * t)) / 1000000000 + Math.PI - 20.5 / LunarHelper.rad; //修正了光行差的太阳平黄经
Lon = LunarHelper.rad2mrad(Lon - (this.sCJ - this.dL * Math.Cos(this.E))); //(修正了光行差的平黄经)-(不含dL*cos(E)的视赤经)
if (Lon > Math.PI)
{
Lon -= LunarHelper.pi2; //得到时差,单位是弧度
}
this.sc = Lon / LunarHelper.pi2; //时差(单位:日)
//真太阳与平太阳
this.pty = this.jd - L / LunarHelper.pi2; //平太阳时
this.zty = this.jd - L / LunarHelper.pi2 + this.sc; //真太阳时
//视半径
//this.mRad = XL.moonRad(this.mR,this.mDW); //月亮视半径(角秒)
this.mRad = 358473400d / this.mR2; //月亮视半径(角秒)
this.sRad = 959.63 / this.sR2; //太阳视半径(角秒)
this.e_mRad = 358473400d / this.mR; //月亮地心视半径(角秒)
this.eShadow = (LunarHelper.cs_rEarA / this.mR * LunarHelper.rad - (959.63 - 8.794) / this.sR) * 51 / 50; //地本影在月球向径处的半径(角秒),式中51/50是大气厚度补偿
this.eShadow2 = (LunarHelper.cs_rEarA / this.mR * LunarHelper.rad + (959.63 + 8.794) / this.sR) * 51 / 50; //地半影在月球向径处的半径(角秒),式中51/50是大气厚度补偿
this.mIll = XL.moonIll(T); //月亮被照面比例
//中心食计算
if (Math.Abs(LunarHelper.rad2rrad(this.mCJ - this.sCJ)) < 50 / 180 * Math.PI)
{
ZB.line_earth(this.mCJ, this.mCW, this.mR, this.sCJ, this.sCW, this.sR * LunarHelper.cs_AU);
this.zx_J = LunarHelper.rad2rrad(this.gst - ZB.le_J);
this.zx_W = ZB.le_W; //无解返回值是100
}
else
{
this.zx_J = this.zx_W = 100;
}
}
/// <summary>
/// 直角坐标转球
/// </summary>
/// <param name="x"></param>
/// <param name="y"></param>
/// <param name="z"></param>
/// <param name="q"></param>
public static void xyz2llr(double x, double y, double z, double[] q)
{
q[2] = Math.Sqrt(x * x + y * y + z * z);
q[1] = Math.Asin(z / q[2]);
q[0] = LunarHelper.rad2mrad(Math.Atan2(y, x));
}