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| Introduction | |
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| Basic concepts | |
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| Scalar and Vector Quantities | |
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| Properties of a Vector | |
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| Moment of a Vector | |
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| Angular Velocity Vector | |
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| Derivative of a Vector | |
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| Kinematics | |
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| Velocity and acceleration | |
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| Plane Motion (Radial and Transverse Components) | |
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| Tangential and Normal Components | |
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| Plane Motion along a Rotating Curve (Relative Motion) | |
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| General Case of Space Motion | |
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| Motion Relative to the Rotating Earth | |
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| Transformation of Coordinates | |
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| Transformation of Displacements | |
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| Transformation of Velocites | |
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| Instantaneous Center | |
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| Euler's Angles | |
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| Transformation of Angular Velocities | |
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| Particle Dynamics (Satellite Orbits) | |
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| Force and Momentum | |
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| Impulse and Momentum | |
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| Work and Energy | |
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| Moment of Momentum | |
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| Motion Under a Central Force | |
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| The Two-body Problem | |
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| Orbits of Planets and Satellites | |
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| Geometry of conic Sections | |
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| Orbit Established from Initial conditions | |
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| Satellite Launched with beta subscript 0 = 0 | |
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| Cotangential Transfer between Coplanar Circular Orbits | |
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| Transfer between Coplanar Coaxial Elliptic Orbits | |
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| Orbital Change due to Impulsive Thrust | |
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| Perturbation of Orbital Parameters | |
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| Stability of Small Oscillations about a Circular Orbit | |
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| Interception and Rendezvous | |
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| Long-Range Ballistic Trajectories | |
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| Effect of the Earth's Oblateness | |
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| Gyrodynamics | |
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| Displacement of a Rigid Body | |
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| Moment of Momentum of a Rigid Body (About a Fixed Point or the Moving Center of Mass) | |
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| Kinetic Energy of a Rigid Body | |
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| Moment of Inertia about a Rotated Axis | |
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| Principal Axes | |
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| Euler's Moment Equation | |
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| Euler's Equation for Principal Axes | |
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| Body of Revolution with Zero External Moment (Body Coordinates) | |
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| Body of Revolution with Zero Moment, in Terms of Euler's Angles | |
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| Unsymmetrical Body with Zero External Moment (Poinsot's Geometric Solution) | |
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| Unequal Moments of Inertia with Zero Moment (Analytical Solution) | |
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| Stability of Rotation about Principal Axes | |
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| General Motion of a Symmetric Gyro or Top | |
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| Steady Precession of a Symmetric Gyro or Top | |
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| Precession and Nutation of the Earth's Polar Axis | |
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| General Motion of a Rigid Body | |
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| Dynamics of Gyroscopic Instruments | |
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| Small Oscillations of Gyros | |
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| Oscilaltions About Gimbal Axes | |
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| Gimbal Masses Included (Perturbation Technique) | |
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| The Gyrocompass | |
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| Oscillation of the Gyrocompass | |
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| The Rate Gyro | |
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| The Integrating Gyro | |
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| The Stable Platform | |
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| The Three-Axis Platform | |
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| Inertial Navigation | |
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| Oscillation of Navigational Errors | |
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| Space Vehicle Motion | |
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| General Equations in Body Coordinates | |
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| Thrust Misalignment | |
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| Rotations Referred to Inertial Coordinates | |
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| Near Symmetric Body of Revolution with Zero Moment | |
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| Despinning of Satellites | |
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| Attitude Drift of Space Vehicles | |
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| Variable Mass | |
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| Jet Damping (Nonspinning Variable Mass Rocket) | |
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| Euler's Dynamical Equations for Spinning Rockets | |
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| Angle of Attack of the Missile | |
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| General Motion of Spinning Bodies with Varying Configuration and Mass | |
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| Performance and Optimization | |
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| Performance of Single-Stage Rockets | |
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| Optimization of Multistage Rockets &nbs | |