configuration space
Quick Summary
Configuration space is a mathematical construct used in physics to describe the state of a system. For a system of N particles, configuration space is a 3N-dimensional space where each point represents the complete spatial arrangement of all particles. This is achieved by using 3N coordinates, where each particle is assigned three coordinates (x, y, z).
This concept is particularly useful for handling constraints within a system, such as a rigid body or a particle confined to a surface. By defining the system within configuration space, complex forces and interactions can be simplified, allowing for a more manageable mathematical description and solution of the problem. The path of a single point in this space over time represents the complete solution to the system's dynamics.1
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