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| Preface | |
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| Fundamentals of Newtonian Mechanics | |
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| Historical Survey of Mechanics | |
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| Newton's Laws | |
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| Impulse and Momentum | |
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| Moment of a Force and Angular Momentum | |
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| Work and Energy | |
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| Energy Diagrams | |
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| Systems of Particles | |
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| The Two-Body Central Force Problem | |
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| The Inverse Square Law. Orbits of Planets and Satellites | |
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| Scattering by a Repulsive Central Force | |
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| Problems | |
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| Suggested References | |
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| Fundamentals of Analytical Mechanics | |
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| Degrees of Freedom. Generalized Coordinates | |
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| Systems with Constraints | |
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| The Stationary Value of a Function | |
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| The Stationary Value of a Definite Integral | |
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| The Principle of Virtual Work | |
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| D'Alembert's Principle | |
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| Hamilton's Principle | |
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| Lagrange's Equations of Motion | |
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| Lagrange's Equations for Impulsive Forces | |
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| Conservation Laws | |
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| Routh's Method for the Ignoration of Coordinates | |
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| Rayleigh's Dissipation Function | |
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| Hamilton's Equations | |
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| Problems | |
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| Suggested References | |
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| Motion Relative to Rotating Reference Frames | |
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| Transformation of Coordinates | |
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| Rotating Coordinate Systems | |
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| Expressions for the Motion in Terms of Moving Reference Frames | |
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| Motion Relative to the Rotating Earth | |
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| Motion of a Free Particle Relative to the Rotating Earth | |
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| Foucault's Pendulum | |
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| Problems | |
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| Suggested References | |
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| Rigid Body Dynamics | |
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| Kinematics of a Rigid Body | |
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| The Linear and Angular Momentum of a Rigid Body | |
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| Translation Theorem for the Angular Momentum | |
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| The Kinetic Energy of a Rigid Body | |
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| Principal Axes | |
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| The Equations of Motion for a Rigid Body | |
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| Euler's Equations of Motion | |
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| Euler's Angles | |
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| Moment-Free Inertially Symmetric Body | |
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| General Case of a Moment-Free Body | |
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| Motion of a Symmetric Top | |
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| The Lagrangian Equations for Quasi-Coordinates | |
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| The Equations of Motion Referred to an Arbitrary System of Axes | |
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| The Rolling of a Coin | |
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| Problems | |
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| Suggested References | |
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| Behavior of Dynamical Systems. Geometric Theory | |
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| Fundamental Concepts | |
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| Motion of Single-Degree-of-Freedom Autonomous Systems about Equilibrium Points | |
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| Conservative Systems. Motion in the Large | |
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| The Index of Poincare | |
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| Limit Cycles of Poincare | |
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| Problems | |
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| Suggested References | |
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| Stability of Multi-Degree-of-Freedom Autonomous Systems | |
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| General Linear Systems | |
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| Linear Autonomous Systems | |
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| Stability of Linear Autonomous Systems. Routh-Hurwitz Criterion | |
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| The Variational Equations | |
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| Theorem on the First-Approximation Stability | |
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| Variation from Canonical Systems. Constant Coefficients | |
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| The Liapunov Direct Method | |
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| Geometric Interpretation of the Liapunov Direct Method | |
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| Stability of Canonical Systems | |
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| Stability in the Presence of Gyroscopic and Dissipative Forces | |
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| Construction of Liapunov Functions for Linear Autonomous Systems | |
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| Problems | |
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| Suggested References | |
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| Nonautonomous Systems | |
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| Linear Systems with Periodic Coefficients. Floquet's Theory | |
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| Stability of Variational Equations with Periodic Coefficients | |
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| Orbital Stability | |
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| Variation from Canonical Systems. Periodic Coefficients | |
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| Second-Order Systems with Periodic Coefficients | |
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| Hill's Infinite Determinant | |
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| Mathieu's Equation | |
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| The Liapunov Direct Method | |
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| Suggested References | |
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| Analytical Solutions by Perturbation Techniques | |
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| The Fundamental Perturbation Technique | |
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| Secular Terms | |
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| Lindstedt's Method | |
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| The Krylov-Bogoliubov-Mitropolsky (KBM) Method | |
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| A Perturbation Technique Based on Hill's Determinants | |
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| Periodic Solutions of Nonautonomous Systems. Duffing's Equation | |
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| The Method of Averaging | |
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| Problems | |
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| Suggested References | |
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| Transformation Theory. The Hamilton-Jacobi Equation | |
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| The Principle of Least Action | |
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| Contact Transformations | |
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| Further Extensions of the Concept of Contact Transformations | |
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| Integral Invariants | |
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| The Lagrange and Poisson Brackets | |
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| Infinitesimal Contact Transformations | |
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| The Hamilton-Jacobi Equation | |
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| Separable Systems | |
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| Action and Angle Variables | |
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| Perturbation Theory | |
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| Problems | |
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| Suggested References | |
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| The Gyroscope: Theory and Applications | |
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| Oscillations of a Symmetric Gyroscope | |
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| Effect of Gimbal Inertia on the Motion of a Free Gyroscope | |
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| Effect of Rotor Shaft Flexibility on the Frequency of Oscillation of a Free Gyroscope | |
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| The Gyrocompass | |
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| The Gyropendulum. Schuler Tuning | |
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| Rate and Integrating Gyroscopes | |
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| Problems | |
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| Suggested References | |
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| Problems in Celestial Mechanics | |
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| Kepler's Equation. Orbit Determination | |
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| The Many-Body Problem | |
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| The Three-Body Problem | |
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| The Restricted Three-Body Problem | |
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| Stability of Motion Near the Lagrangian Points | |
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| The Equations of Relative Motion. Disturbing Function | |
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| Gravitational Potential and Torques for an Arbitrary Body | |
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| Precession and Nutation of the Earth's Polar Axis | |
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| Variation of the Orbital Elements | |
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| The Resolution of the Disturbing Function | |
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| Problems | |
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| Suggested References | |
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| Problems in Spacecraft Dynamics | |
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| Transfer Orbits. Changes in the Orbital Elements Due to a Small Impulse | |
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| Perturbations of a Satellite Orbit in the Gravitational Field of an Oblate Planet | |
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| The Effect of Atmospheric Drag on Satellite Orbits | |
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| The Attitude Motion of Orbiting Satellites. General Considerations | |
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| The Attitude Stability of Earth-Pointing Satellites | |
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| The Attitude Stability of Spinning Symmetrical Satellites | |
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| Variable-Mass Systems | |
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| Rocket Dynamics | |
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| Problems | |
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| Suggested References | |
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| Dyadics | |
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| Elements of Topology and Modern Analysis | |
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| Sets and Functions | |
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| Metric Spaces | |
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| Topological Spaces | |
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| Suggested References | |
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| Name Index | |
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| Subject Index | |