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Part of the book series: Graduate Texts in Mathematics ((GTM,volume 60))

Abstract

In this chapter we show that the motions of a newtonian potential system are extremals of a variational principle, “Hamilton’s principle of least action.”

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© 1989 Springer Science+Business Media New York

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Arnold, V.I. (1989). Variational principles. In: Mathematical Methods of Classical Mechanics. Graduate Texts in Mathematics, vol 60. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-2063-1_3

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  • DOI: https://doi.org/10.1007/978-1-4757-2063-1_3

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-3087-3

  • Online ISBN: 978-1-4757-2063-1

  • eBook Packages: Springer Book Archive

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