卫星轨道六根数计算星下点经纬度写出C#代码
以下是C#代码,可以计算卫星轨道六根数并计算星下点经纬度:
using System;
public class SatelliteOrbit
{
private const double EARTH_RADIUS = 6378.137; // 地球半径
private const double PI = Math.PI;
// 卫星轨道六根数
private double a; // 长半轴
private double e; // 偏心率
private double i; // 轨道倾角
private double Omega; // 升交点赤经
private double omega; // 近地点幅角
private double M0; // 初平近点角
public SatelliteOrbit(double a, double e, double i, double Omega, double omega, double M0)
{
this.a = a;
this.e = e;
this.i = i;
this.Omega = Omega;
this.omega = omega;
this.M0 = M0;
}
// 计算轨道坐标
public void Calculate(double t, out double x, out double y, out double z)
{
double n = Math.Sqrt(398600.4418 / (a * a * a)); // 平均角速度
double M = M0 + n * t; // 平近点角
double E = M; // 初值
double dE = 1;
double E0 = 0;
while (Math.Abs(dE) > 1e-8)
{
E0 = E;
E = M + e * Math.Sin(E);
dE = E - E0;
}
double v = 2 * Math.Atan(Math.Sqrt((1 + e) / (1 - e)) * Math.Tan(E / 2)); // 真近点角
double r = a * (1 - e * Math.Cos(E)); // 距离
double x1 = r * Math.Cos(v);
double y1 = r * Math.Sin(v);
double z1 = 0;
double x2 = x1 * Math.Cos(omega) - y1 * Math.Sin(omega);
double y2 = x1 * Math.Sin(omega) + y1 * Math.Cos(omega);
double z2 = 0;
x = x2 * Math.Cos(Omega) - y2 * Math.Sin(Omega) * Math.Cos(i);
y = x2 * Math.Sin(Omega) + y2 * Math.Cos(Omega) * Math.Cos(i);
z = y2 * Math.Sin(i);
}
// 计算星下点经纬度
public void CalculateSubpoint(double t, out double lon, out double lat)
{
double x, y, z;
Calculate(t, out x, out y, out z);
double r = Math.Sqrt(x * x + y * y + z * z);
double lon1 = Math.Atan2(y, x);
double lat1 = Math.Asin(z / r);
double N = EARTH_RADIUS / Math.Sqrt(1 - 0.00669437999014 * Math.Sin(lat1) * Math.Sin(lat1));
lon = lon1 * 180 / PI; // 经度
lat = lat1 * 180 / PI; // 纬度
}
}
// 示例
public class Example
{
public static void Main()
{
double a = 7000; // 长半轴
double e = 0.01; // 偏心率
double i = 30 * PI / 180; // 轨道倾角
double Omega = 60 * PI / 180; // 升交点赤经
double omega = 90 * PI / 180; // 近地点幅角
double M0 = 0; // 初平近点角
SatelliteOrbit orbit = new SatelliteOrbit(a, e, i, Omega, omega, M0);
double t = 0; // 时间
double lon, lat;
orbit.CalculateSubpoint(t, out lon, out lat);
Console.WriteLine("经度:{0},纬度:{1}", lon, lat);
}
}
``
原文地址: https://www.cveoy.top/t/topic/dkcX 著作权归作者所有。请勿转载和采集!