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Ignorable coordinates and steady motion in classical mechanics

Published online by Cambridge University Press:  24 October 2008

C. W. Kilmister  and
F. A. E. Pirani
C. W. Kilmister
Affiliation:
King's College, London and Brandeis University, Waltham, Massachusetts
F. A. E. Pirani
Affiliation:
King's College, London and Brandeis University, Waltham, Massachusetts
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Abstract

It is shown, for a classical dynamical system with a Lagrangian, that the existence of an ignorable coordinate is equivalent to the vanishing of a certain Lie derivative. On this covariant description is based a new definition of steady motion. A definition given earlier by Synge is criticized.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 61 , Issue 1 , January 1965 , pp. 211 - 222
Copyright
Copyright © Cambridge Philosophical Society 1965

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References

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