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Note on the hodograph of non-holonomic dynamical systems
Published online by Cambridge University Press: 20 January 2009
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Consider a non-holonomic dynamical system specified by the N coordinates qi, and kinetic energy defined by
where amn are functions of qi and the dot denotes differentiation with respect to the time t.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 6 , Issue 3 , August 1940 , pp. 176 - 180
- Copyright
- Copyright © Edinburgh Mathematical Society 1940
References
page 176 note 1 The summation convention is used, the Roman indices having the range 1 to N.
page 176 note 2 Greek indices have the range 1 to M and have been enclosed in a bracket to indicate that they possess no tensorial property.
page 176 note 3 δαβ = 0 if α ≠ β; δαβ = 1 if α = β.
page 179 note 1 Eisenhart, L. P., Riemannian Geometry (Princeton, 1926), 233.Google Scholar
page 179 note 2 Synge, J. L., Tensorial methods in dynamics, Univ. Toronto Studies App. Maths. Series 2 (1936).Google Scholar
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