Lectures on Celestial Mechanics
Lectures on Celestial Mechanics
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DOI：
10.1007/978-3-642-87284-6
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发表时间：
1971-01
期刊：
影响因子：
--
通讯作者：
C. L. Siegel;J. Moser
中科院分区：
文献类型：
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作者：
C. L. Siegel;J. Moser
本书在很大程度上代表了翻译的德国”Vorlesungen尤伯杯Himmelsmechanik”的CL西格尔。对新版本和英文译本的需求导致了本卷的产生，然而，本卷不仅仅是翻译。考虑到最近的工作在这一领域的一些章节已被添加，特别是在第三章涉及的稳定性理论。尽管如此，它并没有试图给出一个完整的介绍主题，西格尔的原始书的基本prganization没有改变。重点在于发展基于H。1997年，A.李雅普诺夫和，就第一章而言，对工作的KF Sundman和CL西格尔。近年来，力学的测量理论方面得到了复兴，并产生了一些新的结果，在此不再讨论。关于这一点，我们特别要提到VI Arnold和A. Avez关于”Problemes Ergodiques de la Mecanique Classique”，其中强调遍历理论和力学的相互作用。我们列出了本书与德语文本不同的地方。在第一章中，CL Siegel增加了两节讨论三体问题中的三体碰撞。
The present book represents to a large extent the translation of the German" Vorlesungen über Himmelsmechanik" by CL Siegel. The demand for a new edition and for an English translation gave rise to the present volume which, however, goes beyond a mere translation. To take account of recent work in this field a number of sections have been added, especially in the third chapter which deals with the stability theory. Still, it has not been attempted to give a complete presentation of the subject, and the basic prganization of Siegel's original book has not been altered. The emphasis lies in the development of results and analytic methods which are based on the ideas of H. Poincare, GD Birkhoff, A. Liapunov and, as far as Chapter I is concerned, on the work of KF Sundman and CL Siegel. In recent years the measure-theoretical aspects of mechanics have been revitalized and have led to new results which will not be discussed here. In this connection we refer, in particular, to the interesting book by VI Arnold and A. Avez on" Problemes Ergodiques de la Mecanique Classique", which stresses the interaction of ergodic theory and mechanics. We list the points in which the present book differs from the German text. In the first chapter two sections on the tri pie collision in the three body problem have been added by CL Siegel.