MATLAB Simulation Program for 6-DOF Motion of a Rigid Body with Fixed Mass

This MATLAB simulation program models the 6-degree-of-freedom (6-DOF) motion of a rigid body with fixed mass. The program utilizes rigid body dynamics equations and Euler angle representations to simulate spatial motion trajectories. This simulation framework can be applied to study rigid body kinematics, aircraft control systems, robotic motion planning, and various dynamic systems. The implementation includes numerical integration of Newton-Euler equations, coordinate transformations between body-fixed and inertial frames, and quaternion/Euler angle conversions for attitude representation. The code structure features modular components for force/moment calculations, state propagation using ODE solvers (like ode45), and 3D visualization routines. If you're interested in extending this program, you can modify the core algorithms or integrate additional modules such as environmental disturbances, control systems, or collision detection. Through hands-on experimentation with this simulation, you'll gain deeper insights into rigid body mechanics, Euler angle implementations, and numerical methods for dynamic systems - simultaneously enhancing your programming skills in mathematical modeling and simulation techniques. Key implementation aspects include: handling of rotational dynamics through inertia tensors, management of kinematic equations for position/orientation updates, and proper treatment of Euler angle singularities using alternative representations when necessary. The modular design allows for easy integration of custom force models and controller implementations.