Skip to main content
SpringerLink
Log in

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

  • Book
  • © 1965

Overview

Authors:
  1. Eugene Leimanis

    1. The University of British Columbia, Vancouver, Canada

    View author publications

    You can also search for this author in PubMed   Google Scholar

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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (7 chapters)

  1. Front Matter

    Pages I-XVI
    Download chapter PDF

  2. Single rigid body

    1. Heavy rigid body

      • Eugene Leimanis
      Pages 1-136

    2. Self-excited rigid body

      • Eugene Leimanis
      Pages 136-194

    3. Externally excited rigid body

      • Eugene Leimanis
      Pages 194-207

  3. Several coupled rigid bodies

    1. Gyrostats

      • Eugene Leimanis
      Pages 207-238

    2. Gyroscope in a Cardan suspension

      • Eugene Leimanis
      Pages 239-256

  4. Gyroscopes and artificial Earth satellites

    1. Rigid body in a central Newtonian field of forces

      • Eugene Leimanis
      Pages 256-279

    2. Motion of an artificial Earth satellite about its mass center

      • Eugene Leimanis
      Pages 279-311

  5. Back Matter

    Pages 312-337
    Download chapter PDF
Back to top

Keywords

About this book

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.

Authors and Affiliations

  • The University of British Columbia, Vancouver, Canada

    Eugene Leimanis

Bibliographic Information

  • Book Title: The General Problem of the Motion of Coupled Rigid Bodies about a Fixed Point

  • Authors: Eugene Leimanis

  • Series Title: Springer Tracts in Natural Philosophy

  • DOI: https://doi.org/10.1007/978-3-642-88412-2

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1965

  • Softcover ISBN: 978-3-642-88414-6Published: 01 June 2012

  • eBook ISBN: 978-3-642-88412-2Published: 13 March 2013

  • Series ISSN: 0081-3877

  • Edition Number: 1

  • Number of Pages: XVI, 338

  • Topics: Theoretical, Mathematical and Computational Physics

Publish with us

Policies and ethics

Back to top

Search

Navigation