matlab3d天体运动

在MATLAB中，可以使用3D坐标系绘制天体的运动轨迹。以下是一个简单的示例代码，演示如何绘制地球和月球的运动轨迹：

% Define constants
G = 6.67408e-11; % Gravitational constant
m_earth = 5.972e24; % Mass of Earth
m_moon = 7.342e22; % Mass of Moon
r_earth = 6378.137e3; % Radius of Earth
r_moon = 1737.1e3; % Radius of Moon
d_earth_moon = 384400e3; % Distance between Earth and Moon

% Define initial conditions
x_earth = [r_earth; 0; 0]; % Earth's initial position
x_moon = [d_earth_moon + r_moon; 0; 0]; % Moon's initial position
v_earth = [0; 0; 0]; % Earth's initial velocity
v_moon = [0; 1022; 0]; % Moon's initial velocity

% Define simulation parameters
t_start = 0; % Start time
t_end = 60*60*24*30; % End time (30 days)
dt = 60*60; % Time step

% Run simulation
t = t_start:dt:t_end; % Time vector
n = length(t);
x_earth_all = zeros(3, n);
x_moon_all = zeros(3, n);
x_earth_all(:, 1) = x_earth;
x_moon_all(:, 1) = x_moon;
for i = 2:n
    % Calculate accelerations
    r = x_moon - x_earth;
    F = G * m_earth * m_moon / norm(r)^2;
    a_earth = F / m_earth * r / norm(r);
    a_moon = -F / m_moon * r / norm(r);
    
    % Update positions and velocities
    x_earth = x_earth + v_earth * dt;
    v_earth = v_earth + a_earth * dt;
    x_moon = x_moon + v_moon * dt;
    v_moon = v_moon + a_moon * dt;
    
    % Store positions
    x_earth_all(:, i) = x_earth;
    x_moon_all(:, i) = x_moon;
end

% Plot results
figure;
plot3(x_earth_all(1,:), x_earth_all(2,:), x_earth_all(3,:), 'b');
hold on;
plot3(x_moon_all(1,:), x_moon_all(2,:), x_moon_all(3,:), 'r');
axis equal;
grid on;
xlabel('x (m)');
ylabel('y (m)');
zlabel('z (m)');
legend('Earth', 'Moon');

此代码将在3D坐标系中绘制地球和月球的运动轨迹。如果您想尝试绘制其他天体的运动，可以根据它们的质量和初始位置和速度来修改此代码。