写一段利用广播星历计算卫星位置的matlab代码
时间: 2023-06-02 12:02:50 浏览: 213
以下是利用广播星历计算卫星位置的matlab代码:
% 定义GPS卫星编号
satellite_id = 10;
% 读入广播星历数据
load('broadcast_ephemeris.mat');
% 选择当前时刻的广播星历数据
t = datetime('now','TimeZone','UTC');
[~,index] = min(abs(broadcast_ephemeris(:,1) - posixtime(t)));
ephemeris = broadcast_ephemeris(index,:);
% 计算GPS周内秒数
time_week_sec = rem(seconds(t), 7*24*3600);
% 计算卫星钟偏
dt_sv = ephemeris(19)*time_week_sec + ephemeris(20)*time_week_sec^2;
% 计算卫星钟校正后的GPS时
t_gps = t - seconds(dt_sv);
% 计算相对论修正
A = ephemeris(12)^2;
n = sqrt(GM_EARTH/A^3);
M = ephemeris(3) + n*time_week_sec;
E = M;
for i = 1:10
E_old = E;
E = M + ephemeris(11)*sin(E_old);
if abs(E - E_old) < 1e-12
break;
end
end
phi = atan2(sqrt(1-ephemeris(2)^2)*sin(E), cos(E)-ephemeris(2));
delta_u = ephemeris(13)*sin(2*phi) + ephemeris(14)*cos(2*phi);
delta_r = ephemeris(15)*sin(2*phi) + ephemeris(16)*cos(2*phi);
delta_i = ephemeris(17)*sin(2*phi) + ephemeris(18)*cos(2*phi);
delta_t_rel = -2*sqrt(GM_EARTH/A)*ephemeris(2)*delta_r/c^2;
% 计算卫星位置
omega = ephemeris(4) + (ephemeris(5) + ephemeris(6)*time_week_sec)*time_week_sec;
r = A*(1-ephemeris(2)*cos(E)) + delta_r;
i = ephemeris(10) + (ephemeris(11) + ephemeris(12)*time_week_sec)*time_week_sec + delta_i;
u = omega + (ephemeris(7) + ephemeris(8)*time_week_sec + delta_u)*time_week_sec;
x = r*cos(u);
y = r*sin(u);
z = 0;
pos = [x;y;z];
pos = R_3(-i)*R_1(-omega)*R_3(u)*pos;
pos = pos + [ephemeris(22); ephemeris(23); ephemeris(24)];
% 显示卫星位置
fprintf('GPS卫星%d在%s的位置为:\n', satellite_id, datestr(t));
fprintf('x = %.4f km, y = %.4f km, z = %.4f km\n', pos(1)/1000, pos(2)/1000, pos(3)/1000);
% 旋转矩阵函数
function R = R_1(theta)
R = [1 0 0; 0 cos(theta) sin(theta); 0 -sin(theta) cos(theta)];
end
function R = R_3(theta)
R = [cos(theta) sin(theta) 0; -sin(theta) cos(theta) 0; 0 0 1];
end
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