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:
“Love not me for comely grace,
For my pleasing eye or face,
Nor for any outward part:
No, nor for a constant heart!”
—Unknown. Love Not Me for Comely Grace (l. 1–4)
“As I walked on the glacis I heard the sound of a bagpipe from the soldiers’ dwellings in the rock, and was further soothed and affected by the sight of a soldier’s cat walking up a cleated plank in a high loophole designed for mus-catry, as serene as Wisdom herself, and with a gracefully waving motion of her tail, as if her ways were ways of pleasantness and all her paths were peace.”
—Henry David Thoreau (1817–1862)