Principles of dynamics /
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. S...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
New York :
Macmillan,
1964.
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Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Principles of Dynamics; Copyright Page; Table of Contents; PREFACE; CHAPTER I. GRAVITATIONAL THEORY OF PLANETARY SYSTEMS; 1.1 Introductory Remarks; 1.2 Frame of Reference and Unit of Length; 1.3 Time Scale and Units; 1.4 Keplerian Laws of Planetary Motion; 1.5 Newtonian Postulate; 1.6 Newtonian Frame: First Law of Motion; 1.7 Motion of Two Gravitating Bodies; 1.8 Three Gravitating Bodies: Lagrange Configurations; 1.9 The Restricted Problem of 3 Bodies; 1.10 The K-Body Problem: First Integrals; 1.11 Dispersion of an n-Body System; 1.12 Some Inequalities for an n-Body System.
- 1.13 Generalized Newtonian Postulate1.14 Gravitational Potential and Potential Energy; 1.15 Some Properties of Gravitational Fields; 1.16 Mutual Fields of Distant Bodies; 1.17 Fields of Axisymmetric Bodies; 1.18 Gravity and the Figure of the Earth; CHAPTER II. FOUNDATIONS OF MECHANICS: GENERAL PRINCIPLES; 2.1 Frames of Reference and Rates of Change; 2.2 Motion Relative to the Earth; 2.3 Motion under Independent Constraint; 2.4 Foucault Pendulum Experiment; 2.5 Axisymmetric Constraint: Stability and Range of Motion; 2.6 Inertial Mass; 2.7 Force: Second and Third Laws of Motion.
- 2.8 Fictitious Body-forces2.9 Continuum Dynamics: Preliminary Notions; 2.10 Continuum Dynamics: Equations of Motion; 2.11 Stress Analysis in a Continuum; 2.12 Principles of Work and Energy; CHAPTER III. GENERAL MOTION OF A RIGID BODY; 3.1 Kinematics; 3.2 Dynamical Basis; 3,3 Application of the Principles; 3.4 Properties of the Inertia Tensor; 3.5 Impulse and Inertia; 3.6 Differential Equations of Euler; 3.7 Free Rotation of a General Body; 3.8 Steady States: Precession; 3.9 Gyrodynamics; INDEX.