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Some Applications of the Lagrangian Formalism

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An Introduction to Hamiltonian Mechanics

Part of the book series: Birkhäuser Advanced Texts Basler Lehrbücher ((BAT))

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Abstract

As we have seen in the preceding chapter, the equations of motion of a mechanical system subject to holonomic constraints, with forces derivable from a potential, can be expressed in terms of a single function.

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References

  1. Sneddon, I.N. (2006). Elements of Partial Differential Equations (Dover, New York).

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  2. Torres del Castillo, G.F. and Rubalcava-García, I. (2017). Variational symmetries as the existence of ignorable coordinates, Eur. J. Phys. 38, 025002.

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Torres del Castillo, G.F. (2018). Some Applications of the Lagrangian Formalism. In: An Introduction to Hamiltonian Mechanics. Birkhäuser Advanced Texts Basler Lehrbücher. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-95225-3_2

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