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Titlebook: Mathematical Aspects of Classical and Celestial Mechanics; V. I. Arnold,V. V. Kozlov,A. I. Neishtadt Book 19972nd edition Springer-Verlag

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Perturbation Theory for Integrable Systems,s around the Sun can be regarded as a perturbation of the integrable problem of the motion of noninteracting point masses around a fixed center of attraction. Methods for studying such systems have been developed, which form what is known as . These methods are usually simple and effective. They oft
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Theory of Small Oscillations,earized system can be integrated. After this is done, the main properties of the oscillations in the original system can frequently be determined using the theory of normal forms of Poincare-Birkhoff. This theory is an analog of perturbation theory (Ch. 5, §2). Here the linearized system plays the r
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Book 19972nd editionmplishes the goals it has set for itself. While it is not an introduction to the field, it is an excellent overview. ..." .American Mathematical Monthly,. .Nov.. .1989."This is a book to curl up with in front of a fire on a cold winter‘s evening. ..." .SIAM Reviews, Sept. 1989.
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