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Titlebook: Hamiltonian Dynamical Systems; History, Theory, and H. S. Dumas,K. S. Meyer,D. S. Schmidt Conference proceedings 1995 Springer-Verlag New Y

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Factoring the Lunar Problem: Geometry, Dynamics, and Algebra in the Lunar Theory from Kepler to Claiaratus could get top-heavy. Tycho Brahe, for one was bothered by geometrical complication. Here is his theory (Fig. 1.1), developed during the 1590s, for the two main inequalities in the Moon’s longitude.
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https://doi.org/10.1007/978-90-481-3009-2amical equations, the procedure synchronizes the motions of the perturbed system onto those of the unperturbed part. The method is most useful when the unperturbed part has solutions in non-elementary functions. Applications of the method are described.
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https://doi.org/10.1007/978-94-011-9522-5[CL]). In the Poincaré compactification of some .-body problems the critical points which appear there are extremely degenerate. In this paper we focus our attention on generic properties of arbitrary Hamiltonian polynomial vector fields, especially at infinity.
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https://doi.org/10.1007/978-1-349-19731-6 normal form techniques adapted to a slightly generalized version of the DiPerna-Lions theory of generalized flows for ODEs [5]. By specializing to the case of Hamiltonian vector fields, we obtain an interesting and somewhat surprising result for Hamiltonians of low regularity, as well as a reason for including this article in these proceedings.
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