Principle of least reaction
A corollary of Gauss' principle (cf. Gauss principle), obtained from the latter by using the equations representing Newton's second law for points of a constrained system (see ). According to the principle of least reaction, for the real motion of a system the quantity
is minimal with respect to all motions conceivable in Gauss' sense. Here $R_\nu$ are the reactions of the constraints and $m_\nu$ the masses of the points in the system.
|||N.G. Chetaev, "Stability of motion" , Moscow (1965) (In Russian)|
|[a1]||R.B. Lindsay, H. Margenau, "Foundations of physics" , Dover, reprint (1957)|
Principle of least reaction. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Principle_of_least_reaction&oldid=31557