Principles of Dynamics (eBook)

Rodney Hill (Autor)

eBook Download: PDF

2016 | 1. Auflage
200 Seiten
Elsevier Science (Verlag)
9781483185279 (ISBN)

Infos

Principles of Dynamics presents classical dynamics primarily as an exemplar of scientific theory and method. This book is divided into three major parts concerned with gravitational theory of planetary systems; general principles of the foundations of mechanics; and general motion of a rigid body. Some of the specific topics covered are Keplerian Laws of Planetary Motion; gravitational potential and potential energy; and fields of axisymmetric bodies. The principles of work and energy, fictitious body-forces, and inertial mass are also looked into. Other specific topics examined are kinematics, dynamical basis, and properties of the inertia tensor. This text will be invaluable to those interested in studying the principles of dynamics.

Inhalt

Front Cover 1
Principles of Dynamics 4
Copyright Page 5
Table of Contents 6
PREFACE 8
CHAPTER I. GRAVITATIONAL THEORY OF PLANETARY SYSTEMS 10
1.1 Introductory Remarks 10
1.2 Frame of Reference and Unit of Length 11
1.3 Time Scale and Units 12
1.4 Keplerian Laws of Planetary Motion 13
1.5 Newtonian Postulate 16
1.6 Newtonian Frame: First Law of Motion 17
1.7 Motion of Two Gravitating Bodies 20
1.8 Three Gravitating Bodies: Lagrange Configurations 26
1.9 The Restricted Problem of 3 Bodies 28
1.10 The K-Body Problem: First Integrals 32
1.11 Dispersion of an n-Body System 35
1.12 Some Inequalities for an n-Body System 37
1.13 Generalized Newtonian Postulate 41
1.14 Gravitational Potential and Potential Energy 45
1.15 Some Properties of Gravitational Fields 47
1.16 Mutual Fields of Distant Bodies 50
1.17 Fields of Axisymmetric Bodies 55
1.18 Gravity and the Figure of the Earth 58
CHAPTER II. FOUNDATIONS OF MECHANICS: GENERAL PRINCIPLES 67
2.1 Frames of Reference and Rates of Change 67
2.2 Motion Relative to the Earth 71
2.3 Motion under Independent Constraint 75
2.4 Foucault Pendulum Experiment 79
2.5 Axisymmetric Constraint: Stability and Range of Motion 82
2.6 Inertial Mass 89
2.7 Force: Second and Third Laws of Motion 94
2.8 Fictitious Body-forces 97
2.9 Continuum Dynamics: Preliminary Notions 100
2.10 Continuum Dynamics: Equations of Motion 104
2.11 Stress Analysis in a Continuum 108
2.12 Principles of Work and Energy 114
CHAPTER III. GENERAL MOTION OF A RIGID BODY 122
3.1 Kinematics 122
3.2 Dynamical Basis 128
3,3 Application of the Principles 133
3.4 Properties of the Inertia Tensor 139
3.5 Impulse and Inertia 146
3.6 Differential Equations of Euler 154
3.7 Free Rotation of a General Body 161
3.8 Steady States: Precession 171
3.9 Gyrodynamics 182
INDEX 198

Produkt-Details

• Erscheint lt. Verlag: 22.1.2016
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Mechanik
• Themenwelt: Technik ► Maschinenbau
• ISBN-13: 9781483185279 / 9781483185279