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2. Note on Action

Published online by Cambridge University Press:  15 September 2014

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Extract

The quantity represented by ∫vds, or its equivalent ∫v2dt, in any case of the motion of a particle, is known to possess important dynamical relations. The accidental discovery of a singularly simple geometrical representation of this quantity in the case of planetary motion led me to inquire whether the method involved might not be easily generalized. This note contains a sketch of some of the results of a hurried investigation of the point.

Graphical representations of the action in some common cases of motion readily suggest themselves.

Type
Proceedings 1864-65
Information
Proceedings of the Royal Society of Edinburgh , Volume 5 , 1866 , pp. 404 - 406
Copyright
Copyright © Royal Society of Edinburgh 1866

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