A Treatise On The Motion Of A Rigid Body
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A Treatise on the Analytical Dynamics of Particles and Rigid Bodies
Author | : Edmund Taylor Whittaker |
Publisher | : |
Total Pages | : 416 |
Release | : 1904 |
Genre | : Dynamics |
ISBN | : |
The Elementary Part of A Treatise on the Dynamics of a System of Rigid Bodies
Author | : Edward John Routh |
Publisher | : |
Total Pages | : 470 |
Release | : 1913 |
Genre | : Dynamics, Rigid |
ISBN | : |
Rigid Body Dynamics
Author | : Hamad M. Yehia |
Publisher | : Springer Nature |
Total Pages | : 473 |
Release | : 2022-06-27 |
Genre | : Mathematics |
ISBN | : 3030963365 |
This monograph provides a complete and up-to-date examination of rigid body dynamics using a Lagrangian approach. All known integrable cases, which were previously scattered throughout the literature, are collected here for convenient reference. Also contained are particular solutions to diverse problems treated within rigid body dynamics. The first seven chapters introduce the elementary dynamics of the rigid body and its main problems. A full historical account of the discovery and development of each of the integrable cases is included as well. Instructors will find this portion of the book well-suited for an undergraduate course, having been formulated by the author in the classroom over many years. The second part includes more advanced topics and some of the author’s original research, highlighting several unique methods he developed that have led to significant results. Some of the specific topics covered include the twelve known solutions of the equations of motion in the classical problem, which has not previously appeared in English before; a collection of completely new integrable cases; and the motion of a rigid body around a fixed point under the action of an asymmetric combination of potential and gyroscopic forces. Rigid Body Dynamics will appeal to researchers in the area as well as those studying dynamical and integrable systems theory.
Rigid Body Dynamics for Space Applications
Author | : Vladimir Aslanov |
Publisher | : Butterworth-Heinemann |
Total Pages | : 422 |
Release | : 2017-04-22 |
Genre | : Technology & Engineering |
ISBN | : 0081018746 |
Rigid Body Dynamics for Space Applications explores the modern problems of spaceflight mechanics, such as attitude dynamics of re-entry and space debris in Earth's atmosphere; dynamics and control of coaxial satellite gyrostats; deployment, dynamics, and control of a tether-assisted return mission of a re-entry capsule; and removal of large space debris by a tether tow. Most space systems can be considered as a system of rigid bodies, with additional elastic and viscoelastic elements and fuel residuals in some cases. This guide shows the nature of the phenomena and explains the behavior of space objects. Researchers working on spacecraft attitude dynamics or space debris removal as well as those in the fields of mechanics, aerospace engineering, and aerospace science will benefit from this book. - Provides a complete treatise of modeling attitude for a range of novel and modern attitude control problems of spaceflight mechanics - Features chapters on the application of rigid body dynamics to atmospheric re-entries, tethered assisted re-entry, and tethered space debris removal - Shows relatively simple ways of constructing mathematical models and analytical solutions describing the behavior of very complex material systems - Uses modern methods of regular and chaotic dynamics to obtain results
The Elementary Part of A Treatise on the Dynamics of a System of Rigid Bodies
Author | : Edward John Routh |
Publisher | : |
Total Pages | : 412 |
Release | : 1882 |
Genre | : Dynamics, Rigid |
ISBN | : |