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)
“It may be possible to do without dancing entirely. Instances have been known of young people passing many, many months successively, without being at any ball of any description, and no material injury accrue either to body or mind; Mbut when a beginning is made—when felicities of rapid motion have once been, though slightly, felt—it must be a very heavy set that does not ask for more.”
—Jane Austen (1775–1817)