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The General Problem of the Motion of Coupled Rigid Bodies about a Fixed Point

  • Eugene Leimanis

Part of the Springer Tracts in Natural Philosophy book series (STPHI, volume 7)

Table of contents

  1. Front Matter
    Pages I-XVI
  2. Single rigid body

    1. Eugene Leimanis
      Pages 1-136
    2. Eugene Leimanis
      Pages 136-194
    3. Eugene Leimanis
      Pages 194-207
  3. Several coupled rigid bodies

    1. Eugene Leimanis
      Pages 207-238
    2. Eugene Leimanis
      Pages 239-256
  4. Gyroscopes and artificial Earth satellites

  5. Back Matter
    Pages 312-337

About this book

Introduction

In the theory of motion of several coupled rigid bodies about a fixed point one can distinguish three basic ramifications. 1. The first, the so-called classical direction of investigations, is concerned with particular cases of integrability ot the equations of motion of a single rigid body about a fixed point,1 and with their geo­ metrical interpretation. This path of thought was predominant until the beginning of the 20th century and its most illustrious represen­ tatives are L. EULER (1707-1783), J L. LAGRANGE (1736-1813), L. POINSOT (1777-1859), S. V. KOVALEVSKAYA (1850-1891), and others. Chapter I of the present monograph intends to reflect this branch of investigations. For collateral reading on the general questions dealt with in this chapter the reader is referred to the following textbooks and reports: A. DOMOGAROV [1J, F. KLEIN and A. SOMMERFELD [11, 1 , 1 J, A. G. 2 3 GREENHILL [10J, A. GRAY [1J, R. GRAMMEL [4 J, E. J. ROUTH [21' 2 , 1 2 31' 32J, J. B. SCARBOROUGH [1J, and V. V. GOLUBEV [1, 2J.

Keywords

Bewegung Coupled Rigid Bodies Motion Poisson equation Rigid body Starrer Körper Theory of Motion differential equation force field gravitation ordinary differential equation rigid bodies solution

Authors and affiliations

  • Eugene Leimanis
    • 1
  1. 1.The University of British ColumbiaVancouverCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-88412-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 1965
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-88414-6
  • Online ISBN 978-3-642-88412-2
  • Series Print ISSN 0081-3877
  • Buy this book on publisher's site
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