Trajectory Generation Program

This document presents a comprehensive simulation analysis of mechanical body movements. Specifically, we implemented simulations for various motion states including uniform linear motion, turning maneuvers, and climbing/descending movements. Through computational modeling, we generated detailed data and results for each scenario. The simulation employs kinematic equations and control algorithms to calculate position updates, velocity profiles, and orientation changes. For turning maneuvers, we implemented curvature-based path planning with controlled angular velocity. The climbing motions incorporate vertical velocity components while maintaining stability constraints. These simulation outputs serve not only for research analysis but also provide valuable references for designing and optimizing mechanical body control systems. We further investigated the body's structural composition and material properties to better understand its behavioral characteristics and performance under different motion conditions. The implementation utilizes matrix transformations for coordinate system conversions and differential equations for motion propagation. Overall, this document offers detailed information about mechanical body motion simulation, enabling better understanding of movement characteristics and behavioral patterns through systematic computational modeling.