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Titlebook: Analytical Techniques of Celestial Mechanics; Victor A. Brumberg Book 1995 Springer-Verlag Berlin Heidelberg 1995 Computeralgebra.Himmelsm

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The Keplerian Processor,one confines oneself only to the case of elliptic motion, which is the most important for practical applications. The Keplerian processor may be developed on the basis of a PS processor or some general CAS. It illustrates the application of these software tools to the derivation of the formulae desc
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Separation of Variables in Elements,er we consider methods applied to equations in elements whereas further on we shall deal with methods applied to equations in rectangular coordinates. But the differences between these two groups of methods are not of major significance. Their common features are of greater importance. In essence, a
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Separation of Variables in Rectangular Coordinates,thod is similar to the von Zeipel technique of separation of short- and long- period perturbations in elements. The general solution of the homogeneous equations of variations for the two-body problem is presented here only on the basis of a transformation leading to a differential system with const
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The General Planetary Theory,nd valid, at least formally, for an indefinite interval of time, has always been considered one of the most important problems of celestial mechanics. Laplace was the first to propose solving the equations of planetary motion in a purely trigonometric form with respect to time. But technical difficu
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