Stereodynamics: Lectures given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Bressanone (Bolzano), Italy, June 2-12, 1971 (C.I.M.E. Summer Schools, 56)

Cover
Stereodynamics
ISBN 9783642109904
Contents
Cenni Introduttivi
	I Solido Pesante
	II IL Giroscopio a Reazione
	III Sulla Dinamica di un Corpo Rigido in un Campo Newtoniano Centrale
	IV Sul Principio Dell\'effetto Giroscopico
	V Precessioni Generalizzate
	Bibliografia
On The Converse of Lagrange - Dirichlet\'s Stability Theorem
	References
Contribution a L\'etude du Mouvement du Corps Rigide an Dimensions Autour D\'un Point Fixe
	Bibliographie
	I. Quelques Aspects Cinematiques de La Rotation du Corps Solide an Dimensions Autour D\'un Point Fixe
	II. Generalisation des Theoremes D\'Euler du Mouvement D\'euler - Poinsot au Mouvement du Corps Rigide an Dimensions Autour D\'un Point Fixe
	III. Application - Quelques Proprietes des Equations D\'euler Dans R4
Some recent results conceraing the motion of a rigid body about a fixed point
	I Reduction of the order of the Euler and Poisson equations
		1. Equations of motion of a heavy rigid body
		2. Equations of motion of a gyrostant
		3. The number of arbitrary constants
		
		5. Reduction of the equations of motion to a single equation
	II Kinematic interpretation of the motion
		1. The moving and fixed hodographs
		2. The Hess solution
	III. Existence of invariant relations of equations of motion
		1. Linear invariant relation
		2. The kinematic interpretation of the motion in the case
		3. Quadratic invariant relation
	Bibliography
A Canonical from of Euler\'s Equationd and a Method of Solution for Arbitrary Applied Couples
	Summary
	Reduction of the Equations to Canonical form
	The Zero-Order Solution
	The First-Order Solution
	The Second -Order Solution
	Brief Report on a Numerical Example
	Runge - Kutta Method
	Mothod of this paper
Dynamics and Stability of Rigid Bodies
	References
The Dynamics of Systems of Coupled rigid Bodies a new General Formalism with Applications
	1. Introduction
	2. Description of the System
	3. Notation
	4. The Equations of motion
	5. The Kinetic Energy
	6. The Dynamical Equations of Motion of an n-body System with one Point Fixed in Inertial Space
	7. A Special Case Plane Motions of Chains
	8. First Application: The Multi-Body Satellite in a Circular Orbit
		The Dynamic Potential Energy
	9. Second Application : Impact Problems in Multi-Body Systems
		The Law of Maxwell and Betti in Dynamics
		Dynamical Equations for Impacts on Elementary Systems
		Kinematical Equations for Elementary Systems
		An Illustrative Example : The Collision of a Chain with Itself
	Literature references