Trajectory Optimization is a mathematical approach used to determine the most efficient path for an object to follow over time. This process involves calculating the best route that minimizes energy consumption, time, or other resources while achieving specific goals. It is commonly applied in fields like aerospace, robotics, and automotive engineering. In aerospace, for example, trajectory optimization helps spacecraft navigate through space by finding the ideal path to reach their destination while conserving fuel. Similarly, in robotics, it enables robots to move smoothly and efficiently, avoiding obstacles while completing tasks.