In mechanics, a constant of motion is a quantity that is conserved throughout the motion, imposing in effect a constraint on the motion. However, it is a mathematical constraint, the natural consequence of the equations of motion, rather than a physical constraint (which would require extra constraint forces). Common examples include energy, linear momentum, angular momentum and the Laplace–Runge–Lenz vector (for inverse-square force laws).
Read more about Constant Of Motion: Applications, Methods For Identifying Constants of Motion, In Quantum Mechanics, Relevance For Quantum Chaos, Integral of Motion
Famous quotes containing the words constant and/or motion:
“A constant smirk upon the face, and a whiffling activity of the body, are strong indications of futility.”
—Philip Dormer Stanhope, 4th Earl Chesterfield (1694–1773)
“Motion or change, and identity or rest, are the first and second secrets of nature: Motion and Rest. The whole code of her laws may be written on the thumbnail, or the signet of a ring.”
—Ralph Waldo Emerson (1803–1882)