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.
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 n-Body Problem: First Integrals 1.11 Dispersion of an n-Body System 1.12 Some Inequalities for an w-Body System 1.13 Generalized Newtonian Postulate 1.14 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 Exercises 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-forces 2.9 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 Exercises 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 Exercises Index
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- © Pergamon 1964
- 1st January 1964
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