In physics, a bounded trajectory is the path taken by an object that remains within a finite region of space over a finite period of time. A bounded trajectory can be thought of as a closed curve, in which the object returns to its starting point after completing its motion.
Bounded trajectories are common in many physical systems, such as a simple pendulum, where the pendulum bob oscillates back and forth, but remains within a limited range of motion. Similarly, a planet in a stable orbit around a star follows a bounded trajectory, as it revolves around the star in a closed path.
In contrast, an unbounded trajectory is the path taken by an object that does not remain within a finite region of space over a finite period of time. For example, an object thrown with sufficient velocity to escape the gravitational pull of the Earth will follow an unbounded trajectory, as it travels away from the Earth and into space.
The study of bounded and unbounded trajectories is an important area of physics, as it provides insights into the behavior of physical systems, Learning Management System and can help predict the motion of objects in space.
