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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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發(fā)表于 2025-3-21 16:34:45 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱Analytical Techniques of Celestial Mechanics
影響因子2023Victor A. Brumberg
視頻videohttp://file.papertrans.cn/157/156671/156671.mp4
圖書封面Titlebook: Analytical Techniques of Celestial Mechanics;  Victor A. Brumberg Book 1995 Springer-Verlag Berlin Heidelberg 1995 Computeralgebra.Himmelsm
影響因子The aim of this book is to describe contemporary analytical and semi- analytical techniques for solving typical celestial-mechanics problems. The word "techniques" is used here as a term intermediate between "methods" and "recipes". One often conceives some method of solution of a problem as a general mathematical tool, while not taking much care with its computa- tional realization. On the other hand, the word "recipes" may nowadays be understood in the sense of the well-known book Numerical Recipes (Press et al. , 1992), where it means both algorithms and their specific program realiza- tion in Fortran, C or Pascal. Analytical recipes imply the use of some general or specialized computer algebra system (CAS). The number of different CAS currently employed in celestial mechanics is too large to specify just a few of the most preferable systems. Besides, it seems reasonable not to mix the essence of any algorithm with its particular program implementation. For these reasons, the analytical techniques of this book are to be regarded as algorithms to be implemented in different ways depending on the hardware and software available. The book was preceded by Analytical Algorithms of Ce
Pindex Book 1995
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Implications for Teaching and for Research,the motion of celestial bodies or at least to find corrections in a literal form to some approximate basic solution corresponding to specific initial numerical values and numerical values of the parameters. A series of power and trigonometric terms of the form ., with . = (.,…,.) and . = (.,…, .) be
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Smart Innovation, Systems and Technologies rather large (of the order of 0.7, for example, for the pair Venus-Earth). Therefore, efficient expansions in powers of this ratio in satellite problems cannot be directly used here. They are given below to characterize the general structure of the expansions.
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https://doi.org/10.1007/978-981-13-3384-2er 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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https://doi.org/10.1007/978-981-13-3384-2thod 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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