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:
“By constant dripping, water hollows stone,
A signet-ring from use alone grows thin,
And the curved plowshare by soft earth is worn.”
—Ovid (Publius Ovidius Naso)
“Wine gives a man nothing. It neither gives him knowledge nor wit; it only animates a man, and enables him to bring out what a dread of the company has repressed. It only puts in motion what had been locked up in frost.”
—Samuel Johnson (1709–1784)