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- W53052756 abstract "The search for a general method to solve problems in mechanics is a worthy endeavor; but the experience of two centuries shows that there is no such thing as a universal recipe, in particular now, when chaos has been recognized as an inevitable and even typical occurrence. The three methods to be discussed have each their advantages over the other two: Lagrange’s variation of the constants provides a direct interpretation of the underlying physics; canonical transformations deal effectively with systems that are assumed to be integrable; Hill’s method explores the neighborhood of an isolated periodic orbit. The emphasis is on the last because it is the least known and perhaps the best for understanding a limited portion of phase space. The example of the Moon’s motion not only provides the first detailed application, but also gives a vivid picture of the ideas behind the mathematical formalism." @default.
- W53052756 created "2016-06-24" @default.
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- W53052756 date "1990-01-01" @default.
- W53052756 modified "2023-09-26" @default.
- W53052756 title "Three Methods of Solution" @default.
- W53052756 doi "https://doi.org/10.1007/978-1-4612-0983-6_6" @default.
- W53052756 hasPublicationYear "1990" @default.
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