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Principle of least reaction

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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 [1]). 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 are the reactions of the constraints and the masses of the points in the system.

References

[1] N.G. Chetaev, "Stability of motion" , Moscow (1965) (In Russian)


Comments

References

[a1] R.B. Lindsay, H. Margenau, "Foundations of physics" , Dover, reprint (1957)
How to Cite This Entry:
Principle of least reaction. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Principle_of_least_reaction&oldid=11914
This article was adapted from an original article by V.V. Rumyantsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article