code to calculate projectile 6dof motion in atmosphere in matlab

main.m
% Projectile parameters
x0 = 0;  % Initial x position
y0 = 0;  % Initial y position
z0 = 0;  % Initial z position
vx0 = 100;  % Initial x velocity
vy0 = 100;  % Initial y velocity
vz0 = 0;  % Initial z velocity
mass = 1;  % Projectile mass

% Constants
g = 9.8;  % Acceleration due to gravity
rho = 1.2;  % Air density

% Simulation parameters
timestep = 0.01;  % Time step for simulation
sim_time = 10;  % Total simulation time

% Initialize variables
x = x0;
y = y0;
z = z0;
vx = vx0;
vy = vy0;
vz = vz0;
t = 0;

% Main simulation loop
while t < sim_time && y >= 0
    % Calculate drag force
    v = sqrt(vx^2 + vy^2 + vz^2);
    F_drag = -0.5 * rho * v^2 * A * Cd; % Replace A and Cd with appropriate values
    
    % Calculate acceleration
    ax = F_drag/mass * vx/v;
    ay = F_drag/mass * vy/v;
    az = -g + F_drag/mass * vz/v;
    
    % Update positions and velocities
    x = x + vx * timestep;
    y = y + vy * timestep;
    z = z + vz * timestep;
    vx = vx + ax * timestep;
    vy = vy + ay * timestep;
    vz = vz + az * timestep;
    
    t = t + timestep;
end

% Print the final position and velocity
fprintf('Final position: (%f, %f, %f)\n', x, y, z);
fprintf('Final velocity: (%f, %f, %f)\n', vx, vy, vz);
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